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Lesson 4 
Vertical Motion and Atmospheric 
Stability 
This lesson describes the vertical structure of the atmosphere, atmospheric stability and the 
corresponding vertical motion. Adiabatic diagrams are introduced to help explain 
atmospheric conditions affecting pollutant dispersion. 
Goal 
To familiarize you with the vertical temperature structure of the atmosphere and 
to introduce its relationship to plume dispersion. 
Objectives 
Upon completing this lesson, you will be able to do the following: 
1. Explain the concept of buoyancy 
2. Define lapse rate and distinguish between dry adiabatic, wet adiabatic, and 
environmental lapse rates 
3. Describe stable, unstable and neutral conditions 
4. Given an adiabatic diagram, identify the atmospheric stability category 
represented 
5. Describe how atmospheric stability and inversions affect air pollutant 
dispersion 
6. Describe how four different types of inversions form 
7. List five types of plume behavior and relate each to atmospheric conditions 
Introduction 
The previous lesson discusses horizontal motion of the atmosphere. Vertical motion is 
equally important in air pollution meteorology, for the degree of vertical motion helps to 
determine how much air is available for pollutant dispersal. Vertical motions can be 
attributed to high and low pressure systems, air lifting over terrain or fronts and 
convection. There are a number of basic principles related to vertical motion that you
must be familiar with before you can understand the mechanics and conditions of vertical 
motion. These principles are presented first and are followed by discussions of instability, 
stability, and plume behavior. Inversion, where the temperature of the air increases with 
height, is also discussed. 
Principles Related to Vertical Motion 
Parcel 
Throughout this lesson we will be discussing a parcel of air. This theoretically 
infinitesimal parcel is a relatively well-defined body of air (a constant number of 
molecules) that acts as a whole. Self-contained, it does not readily mix with the 
surrounding air. The exchange of heat between the parcel and its surroundings is 
minimal, and the temperature within the parcel is generally uniform. The air inside a 
balloon is an analogy for an air parcel. 
Buoyancy Factors 
Atmospheric temperature and pressure influence the buoyancy of air parcels. Holding 
other conditions constant, the temperature of air (a fluid) increases as atmospheric 
pressure increases, and conversely decreases as pressure decreases. With respect to 
the atmosphere, where air pressure decreases with rising altitude, the normal 
temperature profile of the troposphere is one where temperature decreases with 
height. 
An air parcel that becomes warmer than the surrounding air (for example, by heat 
radiating from the earth's surface), begins to expand and cool. As long as the parcel's 
temperature is greater that the surrounding air, the parcel is less dense than the cooler 
surrounding air. Therefore, it rises, or is buoyant. As the parcel rises, it expands 
thereby decreasing its pressure and, therefore, its temperature decreases as well. The 
initial cooling of an air parcel has the opposite effect. In short, warm air rises and 
cools, while cool air descends and warms. 
The extent to which an air parcel rises or falls depends on the relationship of its 
temperature to that of the surrounding air. As long as the parcel's temperature is 
greater, it will rise; as long as the parcel’s temperature is cooler, it will descend. 
When the temperatures of the parcel and the surrounding air are the same, the parcel 
will neither rise nor descend unless influenced by wind flow.
Lapse Rates 
The lapse rate is defined as the rate at which air temperature changes with height. 
The actual lapse rate in the atmosphere is approximately −6 to −7oC per km (in the 
troposphere) but it varies widely depending on location and time of day. We define a 
temperature decrease with height as a negative lapse rate and a temperature increase 
with height as a positive lapse rate. 
How the atmosphere behaves when air is displaced vertically is a function of 
atmospheric stability. A stable atmosphere resists vertical motion; air that is 
displaced vertically in a stable atmosphere tends to return to its original position. 
This atmospheric characteristic determines the ability of the atmosphere to disperse 
pollutants emitted into it. To understand atmospheric stability and the role it plays in 
pollution dispersion, it is important to understand the mechanics of the atmosphere as 
they relate to vertical atmospheric motion. 
Dry Adiabatic 
For the most part, a parcel of air does not exchange heat across its 
boundaries. Therefore, an air parcel that is warmer than the surrounding air 
does not transfer heat to the atmosphere. Any temperature changes that 
occur within the parcel are caused by increases or decreases of molecular 
activity within the parcel. Such changes, occur adiabatically, and are due 
only to the change in atmospheric pressure as a parcel moves vertically. An 
adiabatic process is one in which there is no transfer of heat or mass across 
the boundaries of the air parcel. In an adiabatic process, compression results 
in heating and expansion results in cooling. A dry air parcel rising in the 
atmosphere cools at the dry adiabatic rate of 9.8°C/1000m and has a lapse 
rate of −9.8°C/1000m. Likewise, a dry air parcel sinking in the atmosphere 
heats up at the dry adiabatic rate of 9.8°C/1000m and has a lapse rate of 
9.8°C/1000m. Air is considered dry, in this context, as long as any water in 
it remains in a gaseous state. 
The dry adiabatic lapse rate is a fixed rate, entirely independent of ambient 
air temperature. A parcel of dry air moving upward in the atmosphere, then, 
will always cool at the rate of 9.8°C/1000 m, regardless of its initial 
temperature or the temperature of the surrounding air. You will see later that 
the dry adiabatic lapse rate is central to the definition of atmospheric 
stability. 
A simple adiabatic diagram demonstrates the relationship between elevation 
and temperature. The dry adiabatic lapse rate is indicated by a broken line, 
as shown in Figure 4-1, beginning at various temperatures along the 
horizontal axis. Remember that the slope of the line remains constant, 
regardless of its initial temperature on the diagram.
10 20 30 40 50 
Temperature, °C 
Figure 4-1. Dry adiabatic lapse rate 
Wet Adiabatic 
2 
1 
A rising parcel of dry air containing water vapor will continue to cool at the 
dry adiabatic lapse rate until it reaches its condensation temperature, or dew 
point. At this point the pressure of the water vapor equals the saturation 
vapor pressure of the air, and some of the water vapor begins to condense. 
Condensation releases latent heat in the parcel, and thus the cooling rate of 
the parcel slows. This new rate, called the wet adiabatic lapse rate, is 
shown in Figure 4-2. Unlike the dry adiabatic lapse rate, the wet adiabatic 
lapse rate is not constant but depends on temperature and pressure. In the 
middle troposphere, however, it is assumed to be approximately −6 to 
−7oC/1000 m.
Wet adiabatic lapse rate 
Dry adiabatic lapse rate 
10 20 30 40 50 
Temperature, °C 
Figure 4-2. Wet adiabatic lapse rate 
2 
1 
Environmental 
As mentioned previously, the actual temperature profile of the ambient air 
shows the environmental lapse rate. Sometimes called the prevailing or 
atmospheric lapse rate, it is the result of complex interactions of 
meteorological factors, and is usually considered to be a decrease in temperature 
with height. It is particularly important to vertical motion since surrounding air 
temperature determines the extent to which a parcel of air rises or falls. As 
Figure 4-3 shows, the temperature profile can vary considerably with altitude, 
sometimes changing at a rate greater than the dry adiabatic lapse rate and some 
times changing less. The condition when temperature actually increases with 
altitude is referred to as a temperature inversion. In Figure 4-4, the 
temperature inversion occurs at elevations of from 200 to 350 m. This situation 
is particularly important in air pollution, because it limits vertical air motion.
10 20 30 40 50 
Figure 4-3. Environmental lapse rate 
Temperature 
inversion 
2 4 6 8 10 
Figure 4-4. Temperature inversion 
2 
1 
Temperature, °C 
Dry adiabatic 
lapse rate 
Environmental 
lapse rate 
2 
1 
Temperature, °C
Mixing Height 
Remember the analogy of the air parcel as a balloon. Figure 4-5 shows three ways in 
which the adiabatic lapse rate affects buoyancy. In each situation assume that the 
balloon is filled at ground level with air at 20oC, then lifted manually to a height of 1 
km (for example, lifted by the wind over a mountain ridge). The air in the balloon 
will expand and cool to about 10oC. Whether the balloon rises or falls upon release 
depends on the surrounding air temperature and density. In situation "A," the balloon 
will rise because it remains warmer and less dense than the surrounding air. In 
situation "B," it will sink because it is cooler and more dense. In situation "C," 
however, it will not move at all, because the surrounding air is the same temperature 
and density. 
1 
10° 5° 10° 13° 10° 10° 
20° 20° 20° 20° 20° 20° 
B C 
Temperature, °C 
A 
Figure 4-5. Relationship of adiabatic lapse rate to air temperature 
The same principles apply in real atmospheric conditions when an air parcel is heated 
near the surface and rises, and a cool parcel descends to take its place. The 
relationship of the adiabatic lapse rate and the environmental lapse rate should now 
be apparent. The latter controls the extent to which a parcel of air can rise or descend. 
In an adiabatic diagram, as shown in Figure 4-6, the point at which the air parcel 
cooling at the dry adiabatic lapse rate intersects the ambient temperature profile 
“line” is known as the mixing height. This is the air parcel's maximum level of 
ascendance. In cases where no intersection occurs (when the environmental lapse rate 
is consistently greater than the adiabatic lapse rate), the mixing height may extend to 
great heights in the atmosphere. The air below the mixing height is the mixing layer. 
The deeper the mixing layer, the greater the volume of air into which pollutants can 
be dispersed.
Environmental 
lapse rate 
Mixing height 
Air parcel 
with surface 
temperature of 30° 
Dry adiabatic 
lapse rate 
10 20 30 40 50 
Temperature, °C 
Figure 4-6. Mixing height 
2 
1 
Atmospheric Stability 
The degree of stability of the atmosphere is determined by the temperature difference 
between an air parcel and the air surrounding it. This difference can cause the parcel to 
move vertically (i.e., it may rise or fall). This movement is characterized by four basic 
conditions that describe the general stability of the atmosphere. In stable conditions, this 
vertical movement is discouraged, whereas in unstable conditions the air parcel tends to 
move upward or downward and to continue that movement. When conditions neither 
encourage nor discourage air movement beyond the rate of adiabatic heating or cooling, 
they are considered neutral. When conditions are extremely stable, cooler air near the 
surface is trapped by a layer of warmer air above it. This condition, called an inversion, 
allows virtually no vertical air motion. These conditions are directly related to pollutant 
concentrations in the ambient air. 
Unstable Conditions 
Remember that an air parcel that begins to rise will cool at the dry adiabatic lapse 
rate until it reaches the dew point at which point it will cool at the wet adiabatic lapse 
rate. This assumes that the surrounding atmosphere has a lapse rate greater than the 
adiabatic lapse rate (cooling at more than 9.8oC/1000 m), so that the rising parcel will 
continue to be warmer than the surrounding air. This is a superadiabatic lapse rate. 
As Figure 4-7 shows, the temperature difference between the actual environmental 
lapse rate and the dry adiabatic lapse rate actually increases with height, and 
buoyancy is enhanced.
Dry adiabatic 
lapse rate 
10 20 30 40 50 
Figure 4-7. Enhanced buoyancy associated with instability 
(superadiabatic lapse rate) 
As the air rises, cooler air moves underneath. It, in turn, may be heated by the earth's 
surface and begin to rise. Under such conditions, vertical motion in both directions is 
enhanced, and considerable vertical mixing occurs. The degree of instability depends 
on the degree of difference between the environmental and dry adiabatic lapse rates. 
Figure 4-8 shows both slightly unstable and very unstable conditions. 
Dry adiabatic 
lapse rate 
10 20 30 40 50 
Figure 4-8. Unstable conditions 
2 
1 
Temperature, °C 
Environmental 
lapse rate 
Temperature 
difference 
2 
1 
Temperature, °C 
Very 
unstable 
Slightly unstable
Unstable conditions most commonly develop on sunny days with low wind speeds 
where strong insolation is present. The earth rapidly absorbs heat and transfers some 
of it to the surface air layer. There may be one buoyant air mass if the thermal 
properties of the surface are uniform, or there may be numerous parcels if the thermal 
properties vary. The air warms, becomes less dense than the surrounding air and 
rises. 
Another condition that may lead to instability is the cyclone (low pressure system), 
which is characterized by rising air, clouds, and precipitation. 
Neutral Conditions 
When the environmental lapse rate is the same as the dry adiabatic lapse rate, the 
atmosphere is in a state of neutral stability (Figure 4-9). Vertical air movement is 
neither encouraged nor hindered. The neutral condition is important as the dividing 
line between stable and unstable conditions. Neutral stability occurs on windy days 
or when there is cloud cover such that strong heating or cooling of the earth's surface 
is not occurring. 
10 20 30 40 50 
Figure 4-9. Neutral conditions 
2 
1 
Temperature, °C
Stable Conditions 
When the environmental lapse rate is less than the adiabatic lapse rate (cools at less 
than 9.8oC/1000 m), the air is stable and resists vertical motion. This is a 
subadiabatic lapse rate. Air that is lifted vertically will remain cooler, and therefore 
more dense than the surrounding air. Once the lifting force is removed, the air that 
has been lifted will return to its original position (Figure 4-10). Stable conditions 
occur at night when there is little or no wind. 
10 20 30 40 50 
Figure 4-10. Stable conditions 
2 
1 
Temperature, °C 
Very stable 
Slightly 
stable 
Dry 
adiabatic 
lapse rate
Conditional Stability and Instability 
In the previous discussion of stability and instability, we have assumed that a 
rising air parcel cools at the dry adiabatic lapse rate. Very often, however, 
the air parcel becomes saturated (reaches its dew point) and begins to cool 
more slowly, at the wet adiabatic lapse rate. This change in the rate of 
cooling may change the conditions of stability. Conditional instability occurs 
when the environmental lapse rate is greater than the wet adiabatic lapse rate 
but less than the dry rate. This is illustrated in Figure 4-11. Stable conditions 
occur up to the condensation level and unstable conditions occur above it. 
Wet adiabatic lapse rate 
(-6 °C /km) 
Dry adiabatic 
lapse rate 
(-9.8 °C/km) 
Environmental 
lapse rate 
(-7 °C/km) 
10 20 30 40 50 
Temperature, °C 
Figure 4-11. Conditional stability 
2 
1 
Illustration of Atmospheric Stability Conditions 
Unstable 
atmosphere 
Stable 
atmosphere 
Figure 4-12 illustrates the various stability categories. These analogies are intended 
to illustrate the different atmospheric stability conditions. Figure 4-12 (a) depicts 
stable atmospheric conditions. Notice that when the lifting force is removed, the car 
eventually returns to its original position. Since the car resists displacement from its 
original position, it is in a stable environment. 
Figure 4-12 (b) depicts neutral conditions. When a force is applied to the car it 
moves as long as the force is maintained. When the force is removed, the car stops 
and remains in its new position. This condition represents neutral stability. 
Figure 4-12 (c) depicts unstable conditions. Once a force is applied to the car it will 
continue to move even after the force is removed.
Roller 
coaster 
track 
Car at rest 
Figure 4-12. Atmospheric stability conditions 
1. 
Roller 
coaster 
track 
2. 
3. 
4. 
Car at rest 
An outside force moves car up track 
Force removed, car oscillates 
Car eventually returns to original position 
(a) Stable conditions 
1. 
2. 
3. 
4. 
Car at rest on flat section of track 
Force moves car up track 
Force removed, car stops 
Car remains in new position 
(b) Neutral conditions 
(c) Unstable conditions 
1. 
4. 
Slightest push and 
car rolls down track 
2. 
3. 
Car continues to roll 
Car will continue to roll 
Roller 
coaster 
track
Inversions 
An inversion occurs when air temperature increases with altitude. This situation 
occurs frequently but is generally confined to a relatively shallow layer. Plumes 
emitted into air layers that are experiencing an inversion (inverted layer) do not 
disperse very much as they are transported with the wind. Plumes that are emitted 
above or below an inverted layer do not penetrate that layer, rather these plumes are 
trapped either above or below that inverted layer. An example of the lapse rate for an 
inversion is depicted in Figure 4-13. High concentrations of air pollutants are often 
associated with inversions since they inhibit plume dispersion. The four major types 
of inversions are caused by different atmospheric interactions and can persist for 
different amounts of time. 
Dry 
adiabatic 
lapse rate 
Environmental 
lapse rate 
10 20 30 40 50 
Temperature, °C 
Figure 4-13. Temperature inversion 
Radiation 
2 
1 
The radiation inversion is the most common form of surface inversion and 
occurs when the earth's surface cools rapidly. As the earth cools, so does the 
layer of air close to the surface. If this air cools to a temperature below that 
of the air above, it becomes very stable, and the layer of warmer air impedes 
any vertical motion. 
Radiation inversions usually occur in the late evening through the early 
morning under clear skies with calm winds, when the cooling effect is 
greatest. The same conditions that are conducive to nocturnal radiation 
inversions are also conducive to instability during the day. Diurnal cycles of 
daytime instability and nighttime inversions are relatively common. 
Therefore, the effects of radiation inversions are often short-lived. Pollutants 
trapped by the inversions are dispersed by vigorous vertical mixing after the
inversion breaks down shortly after sunrise. Figure 4-14 illustrates this 
diurnal cycle. 
Dry 
adiabatic 
lapse rate 
Daytime 
instability 
Nocturnal 
inversion 
10 20 30 40 50 
Temperature, °C 
Figure 4-14. Diurnal cycle 
2 
1 
In some cases, however, the daily warming that follows a nocturnal radiation 
inversion may not be strong enough to erode the inversion layer. For 
example, thick fog may accompany the inversion and reduce the effect of 
sunlight the next day. Under the right conditions, several days of radiation 
inversion, with increasing pollutant concentrations, may result. This situation 
is most likely to occur in an enclosed valley, where nocturnal, cool, 
downslope air movement can reinforce a radiation inversion and encourage 
fog formation. 
In locations where radiation inversions are common and tend to be relatively 
close to the surface, tall stacks that emit pollutants above the inversion layer 
can help reduce surface-level pollutant concentrations. 
Subsidence 
The subsidence inversion (Figure 4-15) is almost always associated with 
anticyclones (high pressure systems). Recall that air in an anticyclone 
descends and flows outward in a clockwise rotation. As the air descends, the 
higher pressure at lower altitudes compresses and warms it at the dry 
adiabatic lapse rate. Often this warming occurs at a rate faster than the 
environmental lapse rate. The inversion layer thus formed is often elevated 
several hundred meters above the surface during the day. At night, because 
of the surface air cooling, the base of a subsidence inversion often descends, 
perhaps to the ground. In fact, the clear, cloudless days characteristic of
anticyclones encourage radiation inversions, so that there may be a surface 
inversion at night and an elevated inversion during the day. Although the 
mixing layer below the inversion may vary diurnally, it will never become 
very deep. 
Subsiding air 
Inversion layer Top 
Figure 4-15. Subsidence inversion 
Base 
Mixing layer 
Subsidence inversions, unlike radiation inversions, last a relatively long time. 
This is because they are associated with both the semipermanent anticyclones 
centered on each ocean and the slow-moving migratory anticyclones moving 
generally west to east in the United States. 
When an anticyclone stagnates, pollutants emitted into a mixing layer cannot 
be diluted. As a result, over a period of days, pollutant concentrations may 
rise. The most severe air pollution episodes in the United States have 
occurred either under a stagnant migratory anticyclone (for example, New 
York in November, 1966 and Pennsylvania in October, 1948) or under the 
eastern edge of the Pacific semipermanent anticyclone (Los Angeles). 
Frontal 
Lesson 3 mentions frontal trapping, the inversion that is usually associated 
with both cold and warm fronts. At the leading edge of either front, the warm 
air overrides the cold, so that little vertical motion occurs in the cold air layer 
closest to the surface (Figure 4-16). The strength of the inversion depends on 
the temperature difference between the two air masses. Because fronts are 
moving horizontally, the effects of the inversion are usually short-lived, and 
the lack of vertical motion is often compensated by the winds associated with 
the frontal passage.
However, when fronts become stationary, inversion conditions may be 
prolonged. 
Warm air 
Inversion layer 
Cold air 
Figure 4-16. Frontal inversion (cold front) 
Advection 
Advection inversions are associated with the horizontal flow of warm air. 
When warm air moves over a cold surface, conduction and convection cools 
the air closest to the surface, causing a surface-based inversion (Figure 4-17). 
This inversion is most likely to occur in winter when warm air passes over 
snow cover or extremely cold land. 
Inversion layer 
Cooler air 
Warm air 
Cold ground 
Figure 4-17. Surface-based advection inversion
Another type of advection inversion develops when warm air is forced over 
the top of a cooler air layer. This kind of inversion is common on the eastern 
slopes of mountain ranges (Figure 4-18), where warm air from the west 
overrides cooler air on the eastern side of the mountains. Denver often 
experiences such inversions. Both kinds of advection inversions are 
vertically stable but may have strong winds under the inversion layer. 
Warm air 
Inversion layer 
Cool air 
Figure 4-18. Terrain-based advection inversion 
Stability and Plume Behavior 
The degree of atmospheric stability and the resulting mixing height have a large effect on 
pollutant concentrations in the ambient air. Although the discussion of vertical mixing 
did not include a discussion of horizontal air movement, or wind, you should be aware 
that horizontal motion does occur under inversion conditions. Pollutants that cannot be 
dispersed upward may be dispersed horizontally by surface winds. 
The combination of vertical air movement and horizontal air flow influences the behavior 
of plumes from point sources (stacks). Lesson 6 will discuss plume dispersion in greater 
detail. However, this lesson will describe several kinds of plumes that are characteristic 
of different stability conditions. 
The looping plume of Figure 4-19 occurs in highly unstable conditions and results from 
turbulence caused by the rapid overturning of air. While unstable conditions are generally 
favorable for pollutant dispersion, momentarily high ground-level concentrations can 
occur if the plume loops downward to the surface.
10 20 30 40 50 
Figure 4-19. Looping plume 
The fanning plume (Figure 4-20) occurs in stable conditions. The inversion lapse rate 
discourages vertical motion without prohibiting horizontal motion, and the plume may 
extend downwind from the source for a long distance. Fanning plumes often occur in the 
early morning during a radiation inversion. 
Stable 
10 20 30 40 50 
Figure 4-20. Fanning plume 
2 
1 
Temperature, °C 
2 
1 
Temperature, °C 
Unstable
The coning plume (Figure 4-21) is characteristic of neutral conditions or slightly stable 
conditions. It is likely to occur on cloudy days or on sunny days between the breakup of a 
radiation inversion and the development of unstable daytime conditions. 
10 20 30 40 50 
Figure 4-21. Coning plume 
Obviously a major problem for pollutant dispersion is an inversion layer, which acts as a 
barrier to vertical mixing. The height of a stack in relation to the height of the inversion 
layer may often influence ground-level pollutant concentrations during an inversion. 
When conditions are unstable above an inversion (Figure 4-22), the release of a plume 
above the inversion results in effective dispersion without noticeable effects on ground-level 
concentrations around the source. This condition is known as lofting. 
Inversion 
10 20 30 40 50 
Figure 4-22. Lofting plume 
2 
1 
Temperature, °C 
2 
1 
Temperature, °C 
Neutral
If the plume is released just under an inversion layer, a serious air pollution situation 
could develop. As the ground warms in the morning, air below an inversion layer 
becomes unstable. When the instability reaches the level of the plume that is still trapped 
below the inversion layer, the pollutants can be rapidly transported down toward the 
ground (Figure 4-23). This is known as fumigation. Ground-level pollutant 
concentrations can be very high when fumigation occurs. Sufficiently tall stacks can 
prevent fumigation in most cases. 
Inversion 
10 20 30 40 50 
Temperature, °C 
Figure 4-23. Fumigation 
2 
1 
Thus far you have learned the basic meteorological conditions and events that influence 
the movement and dispersal of air pollutants in the atmosphere. Lesson 6 explores more 
fully the behavior of pollutants around point sources, while the next lesson discusses the 
instrumentation used for meteorological measurement.
Review Exercise 
1. An infinitesimally small, well-defined body of air that does not readily mix with the 
surrounding air is a(n): 
a. Air column 
b. Air mass 
c. Air parcel 
d. Hot air balloon 
e. b and c 
2. The temperature of air ____________________ as atmospheric pressure increases. 
a. Increases 
b. Decreases 
3. What two atmospheric factors influence the buoyancy of an air parcel? 
________________________________________ 
________________________________________ 
4. If the temperature of an air parcel is cooler than the surrounding air, it will usually: 
a. Ascend 
b. Descend 
c. Stay in the same place 
5. The environmental, or prevailing, lapse rate can be determined from the: 
a. Rate of pressure change in the atmosphere 
b. Rate of wet air vs. pressure change 
c. Temperature profile of the atmosphere 
d. Rate of frontal system passage 
6. Changes in the temperature of an air parcel that are due to changes in atmospheric 
pressure are called: 
a. Advective 
b. Adiabatic 
c. Slope 
d. Prevailing 
7. The dry adiabatic lapse rate is: 
a. −6°C/1000 m 
b. < 1°C/1000 m 
c. −9.8°C/1000 m 
d. −7.5°C/1000 m
8. True or False? The dry adiabatic lapse rate is fixed and entirely independent of 
ambient air temperature. 
a. True 
b. False 
9. A displaced air parcel cools at the wet adiabatic lapse rate once it becomes 
____________________. 
10. At the wet adiabatic lapse rate, the cooling rate of the air parcel is usually: 
a. The same as at the dry rate 
b. Slower than at the dry rate 
c. Faster than at the dry rate 
11. The actual temperature profile of the ambient air can be used to determine the 
____________________ lapse rate. 
12. True or False? The environmental lapse rate influences the extent to which a parcel 
of air can rise or descend. 
a. True 
b. False 
13. The maximum level to which a parcel of air will ascend under a given set of 
conditions is known as the: 
a. Ascend/descend level 
b. Mixing trough 
c. Mixing height 
d. Mixing layer 
14. The adiabatic lapse rate for a given air parcel will intersect the environmental lapse 
rate at the: 
a. Mixing trough 
b. Moisture rate 
c. Mixing height 
d. None of the above 
15. A large mixing layer implies that air pollutants have a ___________________ 
volume of air for dilution. 
a. Greater 
b. Lesser 
16. True or False? A stable atmosphere resists vertical motion. 
a. True 
b. False
17. Vertical mixing due to buoyancy is increased when atmospheric conditions are: 
a. Unstable 
b. Neutral 
c. Stable 
d. Extremely stable 
18. Unstable atmospheric conditions most commonly develop: 
a. On cloudy days 
b. On sunny days 
c. On cloudy nights 
d. On clear nights 
19. On cloudy days with no strong surface heating, atmospheric conditions are likely to 
be: 
a. Unstable 
b. Neutral 
c. Stable 
d. Extremely stable 
20. In this diagram, a displaced air parcel becomes saturated at an elevation of 2 km. 
Which of the following stability conditions does the diagram depict? 
4 
2 
Wet adiabatic lapse rate 
(-6 °C /km) 
Dry adiabatic 
lapse rate 
(-9.8 °C/km) 
Environmental 
lapse rate 
(-7 °C/km) 
10 20 30 40 50 
Temperature, °C 
a. Stable below 1 km 
b. Conditional stability above 1 km 
c. Neutral from 0 to 2 km 
d. Conditional instability above 2 km 
Unstable 
atmosphere 
Stable 
atmosphere 
21. A(n) ____________________ acts as a lid on vertical air movement.
22. When the earth's surface cools rapidly, such as between late night and early morning 
under clear skies, a(n) ____________________ inversion is likely to occur. 
23. When vigorous vertical mixing follows a radiation inversion, pollutant plumes will: 
a. Be trapped near the surface 
b. Be dispersed away from their source 
24. True or False? A high pressure system can cause an elevated temperature inversion 
to form. 
a. True 
b. False 
25. The subsidence inversion is associated with ____________________ because it 
usually forms high above the surface during the day. 
26. A subsidence inversion generally tends to last for a relatively 
____________________ period of time compared to a radiation inversion. 
a. Short 
b. Long 
27. Surface-based inversions associated with horizontal air flow, such as when warm air 
moves over a cold surface, are called ____________________ inversions. 
a. Subsidence 
b. Frontal 
c. Advection 
d. Adiabatic 
28. The ____________________ plume is characteristic of neutral or slightly stable 
atmospheric conditions. 
a. Fanning 
b. Looping 
c. Coning 
d. Lofting 
29. What is the name of the plume depicted in this illustration? ____________________
2 
1 
Inversion 
10 20 30 40 50 
Temperature, °C 
30. Which plume is represented by this lapse rate and stack 
height?____________________ 
31. A fanning plume will occur when atmospheric conditions are generally: 
a. Highly unstable 
b. Stable 
c. Neutral 
32. The looping plume can cause ____________________ ground-level concentrations 
of air pollutants. 
33. If a plume is released just ____________________ an inversion layer, a serious air 
pollution situation could develop. 
a. Under 
b. Over
34. The plume in this drawing is an example of ____________________. 
a. Coning 
b. Looping 
c. Fumigation 
d. Lofting
Review Exercise Answers 
1. c. Air parcel 
An infinitesimally small, well-defined body of air that does not readily mix with the 
surrounding air is called an air parcel. 
2. a. Increases 
The temperature of air increases as atmospheric pressure increases. 
3. Temperature and pressure 
Temperature and pressure are two atmospheric factors that influence the buoyancy of 
an air parcel. 
4. b. Descend 
If the temperature of an air parcel is cooler than the surrounding air, it will usually 
descend. 
5. c. Temperature profile of the atmosphere 
The environmental, or prevailing, lapse rate can be determined from the temperature 
profile of the atmosphere. 
6. b. Adiabatic 
Changes in the temperature of an air parcel that are due to changes in atmospheric 
pressure are called adiabatic. 
7. c. −9.8°C/1000 m 
The dry adiabatic lapse rate is −9.8°C/1000 m. 
8. a. True 
The dry adiabatic lapse rate is fixed and entirely independent of ambient air 
temperature. 
9. Saturated 
A displaced air parcel cools at the wet adiabatic lapse rate once it becomes saturated. 
10. b. Slower than at the dry rate 
At the wet adiabatic lapse rate, the cooling rate of the air parcel is usually slower than 
at the dry rate. 
11. Environmental 
The actual temperature profile of the ambient air can be used to determine the 
environmental lapse rate.
12. a. True 
The environmental lapse rate influences the extent to which a parcel of air can rise or 
descend. 
13. c. Mixing height 
The maximum level to which a parcel of air will ascend under a given set of 
conditions is known as the mixing height. 
14. c. Mixing height 
The adiabatic lapse rate for a given air parcel will intersect the environmental lapse 
rate at the mixing height. 
15. a. Greater 
A large mixing layer implies that air pollutants have a greater volume of air for 
dilution. 
16. a. True 
A stable atmosphere resists vertical motion. 
17. a. Unstable 
Vertical mixing due to buoyancy is increased when atmospheric conditions are 
unstable. 
18. b. On sunny days 
Unstable atmospheric conditions most commonly develop on sunny days. 
19. b. Neutral 
On cloudy days with no strong surface heating, atmospheric conditions are likely to 
be neutral. 
20. d. Conditional instability above 2 km 
The diagram depicts conditional instability above 2 km. 
21. Inversion 
An inversion acts as a lid on vertical air movement. 
22. Radiation 
When the earth's surface cools rapidly, such as between late night and early morning 
under clear skies, a radiation inversion is likely to occur. 
23. b. Be dispersed away from their source 
When vigorous vertical mixing follows a radiation inversion, pollutant plumes will 
be dispersed away from their source.
24. a. True 
A high pressure system can cause an elevated temperature inversion to form 
(subsidence inversion). 
25. Anticyclones 
The subsidence inversion is associated with anticyclones because it usually forms 
high above the surface during the day. 
26. b. Long 
A subsidence inversion generally tends to last for a relatively long period of time 
compared to a radiation inversion. 
27. c. Advection 
Surface-based inversions associated with horizontal air flow, such as when warm air 
moves over a cold surface, are called advection inversions. 
28. c. Coning 
The coning plume is characteristic of neutral or slightly stable atmospheric 
conditions. 
29. Looping 
A looping plume is depicted in this illustration. 
30. Lofting 
A lofting plume is represented by this lapse rate and stack height. 
31. b. Stable 
A fanning plume will occur when atmospheric conditions are generally stable. 
32. High 
The looping plume can cause high ground-level concentrations of air pollutants. 
33. a. Under 
If a plume is released just under an inversion layer, a serious air pollution situation 
could develop. 
34. c. Fumigation 
The plume in this drawing is an example of fumigation.

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Bradley witham lesson 4

  • 1. Lesson 4 Vertical Motion and Atmospheric Stability This lesson describes the vertical structure of the atmosphere, atmospheric stability and the corresponding vertical motion. Adiabatic diagrams are introduced to help explain atmospheric conditions affecting pollutant dispersion. Goal To familiarize you with the vertical temperature structure of the atmosphere and to introduce its relationship to plume dispersion. Objectives Upon completing this lesson, you will be able to do the following: 1. Explain the concept of buoyancy 2. Define lapse rate and distinguish between dry adiabatic, wet adiabatic, and environmental lapse rates 3. Describe stable, unstable and neutral conditions 4. Given an adiabatic diagram, identify the atmospheric stability category represented 5. Describe how atmospheric stability and inversions affect air pollutant dispersion 6. Describe how four different types of inversions form 7. List five types of plume behavior and relate each to atmospheric conditions Introduction The previous lesson discusses horizontal motion of the atmosphere. Vertical motion is equally important in air pollution meteorology, for the degree of vertical motion helps to determine how much air is available for pollutant dispersal. Vertical motions can be attributed to high and low pressure systems, air lifting over terrain or fronts and convection. There are a number of basic principles related to vertical motion that you
  • 2. must be familiar with before you can understand the mechanics and conditions of vertical motion. These principles are presented first and are followed by discussions of instability, stability, and plume behavior. Inversion, where the temperature of the air increases with height, is also discussed. Principles Related to Vertical Motion Parcel Throughout this lesson we will be discussing a parcel of air. This theoretically infinitesimal parcel is a relatively well-defined body of air (a constant number of molecules) that acts as a whole. Self-contained, it does not readily mix with the surrounding air. The exchange of heat between the parcel and its surroundings is minimal, and the temperature within the parcel is generally uniform. The air inside a balloon is an analogy for an air parcel. Buoyancy Factors Atmospheric temperature and pressure influence the buoyancy of air parcels. Holding other conditions constant, the temperature of air (a fluid) increases as atmospheric pressure increases, and conversely decreases as pressure decreases. With respect to the atmosphere, where air pressure decreases with rising altitude, the normal temperature profile of the troposphere is one where temperature decreases with height. An air parcel that becomes warmer than the surrounding air (for example, by heat radiating from the earth's surface), begins to expand and cool. As long as the parcel's temperature is greater that the surrounding air, the parcel is less dense than the cooler surrounding air. Therefore, it rises, or is buoyant. As the parcel rises, it expands thereby decreasing its pressure and, therefore, its temperature decreases as well. The initial cooling of an air parcel has the opposite effect. In short, warm air rises and cools, while cool air descends and warms. The extent to which an air parcel rises or falls depends on the relationship of its temperature to that of the surrounding air. As long as the parcel's temperature is greater, it will rise; as long as the parcel’s temperature is cooler, it will descend. When the temperatures of the parcel and the surrounding air are the same, the parcel will neither rise nor descend unless influenced by wind flow.
  • 3. Lapse Rates The lapse rate is defined as the rate at which air temperature changes with height. The actual lapse rate in the atmosphere is approximately −6 to −7oC per km (in the troposphere) but it varies widely depending on location and time of day. We define a temperature decrease with height as a negative lapse rate and a temperature increase with height as a positive lapse rate. How the atmosphere behaves when air is displaced vertically is a function of atmospheric stability. A stable atmosphere resists vertical motion; air that is displaced vertically in a stable atmosphere tends to return to its original position. This atmospheric characteristic determines the ability of the atmosphere to disperse pollutants emitted into it. To understand atmospheric stability and the role it plays in pollution dispersion, it is important to understand the mechanics of the atmosphere as they relate to vertical atmospheric motion. Dry Adiabatic For the most part, a parcel of air does not exchange heat across its boundaries. Therefore, an air parcel that is warmer than the surrounding air does not transfer heat to the atmosphere. Any temperature changes that occur within the parcel are caused by increases or decreases of molecular activity within the parcel. Such changes, occur adiabatically, and are due only to the change in atmospheric pressure as a parcel moves vertically. An adiabatic process is one in which there is no transfer of heat or mass across the boundaries of the air parcel. In an adiabatic process, compression results in heating and expansion results in cooling. A dry air parcel rising in the atmosphere cools at the dry adiabatic rate of 9.8°C/1000m and has a lapse rate of −9.8°C/1000m. Likewise, a dry air parcel sinking in the atmosphere heats up at the dry adiabatic rate of 9.8°C/1000m and has a lapse rate of 9.8°C/1000m. Air is considered dry, in this context, as long as any water in it remains in a gaseous state. The dry adiabatic lapse rate is a fixed rate, entirely independent of ambient air temperature. A parcel of dry air moving upward in the atmosphere, then, will always cool at the rate of 9.8°C/1000 m, regardless of its initial temperature or the temperature of the surrounding air. You will see later that the dry adiabatic lapse rate is central to the definition of atmospheric stability. A simple adiabatic diagram demonstrates the relationship between elevation and temperature. The dry adiabatic lapse rate is indicated by a broken line, as shown in Figure 4-1, beginning at various temperatures along the horizontal axis. Remember that the slope of the line remains constant, regardless of its initial temperature on the diagram.
  • 4. 10 20 30 40 50 Temperature, °C Figure 4-1. Dry adiabatic lapse rate Wet Adiabatic 2 1 A rising parcel of dry air containing water vapor will continue to cool at the dry adiabatic lapse rate until it reaches its condensation temperature, or dew point. At this point the pressure of the water vapor equals the saturation vapor pressure of the air, and some of the water vapor begins to condense. Condensation releases latent heat in the parcel, and thus the cooling rate of the parcel slows. This new rate, called the wet adiabatic lapse rate, is shown in Figure 4-2. Unlike the dry adiabatic lapse rate, the wet adiabatic lapse rate is not constant but depends on temperature and pressure. In the middle troposphere, however, it is assumed to be approximately −6 to −7oC/1000 m.
  • 5. Wet adiabatic lapse rate Dry adiabatic lapse rate 10 20 30 40 50 Temperature, °C Figure 4-2. Wet adiabatic lapse rate 2 1 Environmental As mentioned previously, the actual temperature profile of the ambient air shows the environmental lapse rate. Sometimes called the prevailing or atmospheric lapse rate, it is the result of complex interactions of meteorological factors, and is usually considered to be a decrease in temperature with height. It is particularly important to vertical motion since surrounding air temperature determines the extent to which a parcel of air rises or falls. As Figure 4-3 shows, the temperature profile can vary considerably with altitude, sometimes changing at a rate greater than the dry adiabatic lapse rate and some times changing less. The condition when temperature actually increases with altitude is referred to as a temperature inversion. In Figure 4-4, the temperature inversion occurs at elevations of from 200 to 350 m. This situation is particularly important in air pollution, because it limits vertical air motion.
  • 6. 10 20 30 40 50 Figure 4-3. Environmental lapse rate Temperature inversion 2 4 6 8 10 Figure 4-4. Temperature inversion 2 1 Temperature, °C Dry adiabatic lapse rate Environmental lapse rate 2 1 Temperature, °C
  • 7. Mixing Height Remember the analogy of the air parcel as a balloon. Figure 4-5 shows three ways in which the adiabatic lapse rate affects buoyancy. In each situation assume that the balloon is filled at ground level with air at 20oC, then lifted manually to a height of 1 km (for example, lifted by the wind over a mountain ridge). The air in the balloon will expand and cool to about 10oC. Whether the balloon rises or falls upon release depends on the surrounding air temperature and density. In situation "A," the balloon will rise because it remains warmer and less dense than the surrounding air. In situation "B," it will sink because it is cooler and more dense. In situation "C," however, it will not move at all, because the surrounding air is the same temperature and density. 1 10° 5° 10° 13° 10° 10° 20° 20° 20° 20° 20° 20° B C Temperature, °C A Figure 4-5. Relationship of adiabatic lapse rate to air temperature The same principles apply in real atmospheric conditions when an air parcel is heated near the surface and rises, and a cool parcel descends to take its place. The relationship of the adiabatic lapse rate and the environmental lapse rate should now be apparent. The latter controls the extent to which a parcel of air can rise or descend. In an adiabatic diagram, as shown in Figure 4-6, the point at which the air parcel cooling at the dry adiabatic lapse rate intersects the ambient temperature profile “line” is known as the mixing height. This is the air parcel's maximum level of ascendance. In cases where no intersection occurs (when the environmental lapse rate is consistently greater than the adiabatic lapse rate), the mixing height may extend to great heights in the atmosphere. The air below the mixing height is the mixing layer. The deeper the mixing layer, the greater the volume of air into which pollutants can be dispersed.
  • 8. Environmental lapse rate Mixing height Air parcel with surface temperature of 30° Dry adiabatic lapse rate 10 20 30 40 50 Temperature, °C Figure 4-6. Mixing height 2 1 Atmospheric Stability The degree of stability of the atmosphere is determined by the temperature difference between an air parcel and the air surrounding it. This difference can cause the parcel to move vertically (i.e., it may rise or fall). This movement is characterized by four basic conditions that describe the general stability of the atmosphere. In stable conditions, this vertical movement is discouraged, whereas in unstable conditions the air parcel tends to move upward or downward and to continue that movement. When conditions neither encourage nor discourage air movement beyond the rate of adiabatic heating or cooling, they are considered neutral. When conditions are extremely stable, cooler air near the surface is trapped by a layer of warmer air above it. This condition, called an inversion, allows virtually no vertical air motion. These conditions are directly related to pollutant concentrations in the ambient air. Unstable Conditions Remember that an air parcel that begins to rise will cool at the dry adiabatic lapse rate until it reaches the dew point at which point it will cool at the wet adiabatic lapse rate. This assumes that the surrounding atmosphere has a lapse rate greater than the adiabatic lapse rate (cooling at more than 9.8oC/1000 m), so that the rising parcel will continue to be warmer than the surrounding air. This is a superadiabatic lapse rate. As Figure 4-7 shows, the temperature difference between the actual environmental lapse rate and the dry adiabatic lapse rate actually increases with height, and buoyancy is enhanced.
  • 9. Dry adiabatic lapse rate 10 20 30 40 50 Figure 4-7. Enhanced buoyancy associated with instability (superadiabatic lapse rate) As the air rises, cooler air moves underneath. It, in turn, may be heated by the earth's surface and begin to rise. Under such conditions, vertical motion in both directions is enhanced, and considerable vertical mixing occurs. The degree of instability depends on the degree of difference between the environmental and dry adiabatic lapse rates. Figure 4-8 shows both slightly unstable and very unstable conditions. Dry adiabatic lapse rate 10 20 30 40 50 Figure 4-8. Unstable conditions 2 1 Temperature, °C Environmental lapse rate Temperature difference 2 1 Temperature, °C Very unstable Slightly unstable
  • 10. Unstable conditions most commonly develop on sunny days with low wind speeds where strong insolation is present. The earth rapidly absorbs heat and transfers some of it to the surface air layer. There may be one buoyant air mass if the thermal properties of the surface are uniform, or there may be numerous parcels if the thermal properties vary. The air warms, becomes less dense than the surrounding air and rises. Another condition that may lead to instability is the cyclone (low pressure system), which is characterized by rising air, clouds, and precipitation. Neutral Conditions When the environmental lapse rate is the same as the dry adiabatic lapse rate, the atmosphere is in a state of neutral stability (Figure 4-9). Vertical air movement is neither encouraged nor hindered. The neutral condition is important as the dividing line between stable and unstable conditions. Neutral stability occurs on windy days or when there is cloud cover such that strong heating or cooling of the earth's surface is not occurring. 10 20 30 40 50 Figure 4-9. Neutral conditions 2 1 Temperature, °C
  • 11. Stable Conditions When the environmental lapse rate is less than the adiabatic lapse rate (cools at less than 9.8oC/1000 m), the air is stable and resists vertical motion. This is a subadiabatic lapse rate. Air that is lifted vertically will remain cooler, and therefore more dense than the surrounding air. Once the lifting force is removed, the air that has been lifted will return to its original position (Figure 4-10). Stable conditions occur at night when there is little or no wind. 10 20 30 40 50 Figure 4-10. Stable conditions 2 1 Temperature, °C Very stable Slightly stable Dry adiabatic lapse rate
  • 12. Conditional Stability and Instability In the previous discussion of stability and instability, we have assumed that a rising air parcel cools at the dry adiabatic lapse rate. Very often, however, the air parcel becomes saturated (reaches its dew point) and begins to cool more slowly, at the wet adiabatic lapse rate. This change in the rate of cooling may change the conditions of stability. Conditional instability occurs when the environmental lapse rate is greater than the wet adiabatic lapse rate but less than the dry rate. This is illustrated in Figure 4-11. Stable conditions occur up to the condensation level and unstable conditions occur above it. Wet adiabatic lapse rate (-6 °C /km) Dry adiabatic lapse rate (-9.8 °C/km) Environmental lapse rate (-7 °C/km) 10 20 30 40 50 Temperature, °C Figure 4-11. Conditional stability 2 1 Illustration of Atmospheric Stability Conditions Unstable atmosphere Stable atmosphere Figure 4-12 illustrates the various stability categories. These analogies are intended to illustrate the different atmospheric stability conditions. Figure 4-12 (a) depicts stable atmospheric conditions. Notice that when the lifting force is removed, the car eventually returns to its original position. Since the car resists displacement from its original position, it is in a stable environment. Figure 4-12 (b) depicts neutral conditions. When a force is applied to the car it moves as long as the force is maintained. When the force is removed, the car stops and remains in its new position. This condition represents neutral stability. Figure 4-12 (c) depicts unstable conditions. Once a force is applied to the car it will continue to move even after the force is removed.
  • 13. Roller coaster track Car at rest Figure 4-12. Atmospheric stability conditions 1. Roller coaster track 2. 3. 4. Car at rest An outside force moves car up track Force removed, car oscillates Car eventually returns to original position (a) Stable conditions 1. 2. 3. 4. Car at rest on flat section of track Force moves car up track Force removed, car stops Car remains in new position (b) Neutral conditions (c) Unstable conditions 1. 4. Slightest push and car rolls down track 2. 3. Car continues to roll Car will continue to roll Roller coaster track
  • 14. Inversions An inversion occurs when air temperature increases with altitude. This situation occurs frequently but is generally confined to a relatively shallow layer. Plumes emitted into air layers that are experiencing an inversion (inverted layer) do not disperse very much as they are transported with the wind. Plumes that are emitted above or below an inverted layer do not penetrate that layer, rather these plumes are trapped either above or below that inverted layer. An example of the lapse rate for an inversion is depicted in Figure 4-13. High concentrations of air pollutants are often associated with inversions since they inhibit plume dispersion. The four major types of inversions are caused by different atmospheric interactions and can persist for different amounts of time. Dry adiabatic lapse rate Environmental lapse rate 10 20 30 40 50 Temperature, °C Figure 4-13. Temperature inversion Radiation 2 1 The radiation inversion is the most common form of surface inversion and occurs when the earth's surface cools rapidly. As the earth cools, so does the layer of air close to the surface. If this air cools to a temperature below that of the air above, it becomes very stable, and the layer of warmer air impedes any vertical motion. Radiation inversions usually occur in the late evening through the early morning under clear skies with calm winds, when the cooling effect is greatest. The same conditions that are conducive to nocturnal radiation inversions are also conducive to instability during the day. Diurnal cycles of daytime instability and nighttime inversions are relatively common. Therefore, the effects of radiation inversions are often short-lived. Pollutants trapped by the inversions are dispersed by vigorous vertical mixing after the
  • 15. inversion breaks down shortly after sunrise. Figure 4-14 illustrates this diurnal cycle. Dry adiabatic lapse rate Daytime instability Nocturnal inversion 10 20 30 40 50 Temperature, °C Figure 4-14. Diurnal cycle 2 1 In some cases, however, the daily warming that follows a nocturnal radiation inversion may not be strong enough to erode the inversion layer. For example, thick fog may accompany the inversion and reduce the effect of sunlight the next day. Under the right conditions, several days of radiation inversion, with increasing pollutant concentrations, may result. This situation is most likely to occur in an enclosed valley, where nocturnal, cool, downslope air movement can reinforce a radiation inversion and encourage fog formation. In locations where radiation inversions are common and tend to be relatively close to the surface, tall stacks that emit pollutants above the inversion layer can help reduce surface-level pollutant concentrations. Subsidence The subsidence inversion (Figure 4-15) is almost always associated with anticyclones (high pressure systems). Recall that air in an anticyclone descends and flows outward in a clockwise rotation. As the air descends, the higher pressure at lower altitudes compresses and warms it at the dry adiabatic lapse rate. Often this warming occurs at a rate faster than the environmental lapse rate. The inversion layer thus formed is often elevated several hundred meters above the surface during the day. At night, because of the surface air cooling, the base of a subsidence inversion often descends, perhaps to the ground. In fact, the clear, cloudless days characteristic of
  • 16. anticyclones encourage radiation inversions, so that there may be a surface inversion at night and an elevated inversion during the day. Although the mixing layer below the inversion may vary diurnally, it will never become very deep. Subsiding air Inversion layer Top Figure 4-15. Subsidence inversion Base Mixing layer Subsidence inversions, unlike radiation inversions, last a relatively long time. This is because they are associated with both the semipermanent anticyclones centered on each ocean and the slow-moving migratory anticyclones moving generally west to east in the United States. When an anticyclone stagnates, pollutants emitted into a mixing layer cannot be diluted. As a result, over a period of days, pollutant concentrations may rise. The most severe air pollution episodes in the United States have occurred either under a stagnant migratory anticyclone (for example, New York in November, 1966 and Pennsylvania in October, 1948) or under the eastern edge of the Pacific semipermanent anticyclone (Los Angeles). Frontal Lesson 3 mentions frontal trapping, the inversion that is usually associated with both cold and warm fronts. At the leading edge of either front, the warm air overrides the cold, so that little vertical motion occurs in the cold air layer closest to the surface (Figure 4-16). The strength of the inversion depends on the temperature difference between the two air masses. Because fronts are moving horizontally, the effects of the inversion are usually short-lived, and the lack of vertical motion is often compensated by the winds associated with the frontal passage.
  • 17. However, when fronts become stationary, inversion conditions may be prolonged. Warm air Inversion layer Cold air Figure 4-16. Frontal inversion (cold front) Advection Advection inversions are associated with the horizontal flow of warm air. When warm air moves over a cold surface, conduction and convection cools the air closest to the surface, causing a surface-based inversion (Figure 4-17). This inversion is most likely to occur in winter when warm air passes over snow cover or extremely cold land. Inversion layer Cooler air Warm air Cold ground Figure 4-17. Surface-based advection inversion
  • 18. Another type of advection inversion develops when warm air is forced over the top of a cooler air layer. This kind of inversion is common on the eastern slopes of mountain ranges (Figure 4-18), where warm air from the west overrides cooler air on the eastern side of the mountains. Denver often experiences such inversions. Both kinds of advection inversions are vertically stable but may have strong winds under the inversion layer. Warm air Inversion layer Cool air Figure 4-18. Terrain-based advection inversion Stability and Plume Behavior The degree of atmospheric stability and the resulting mixing height have a large effect on pollutant concentrations in the ambient air. Although the discussion of vertical mixing did not include a discussion of horizontal air movement, or wind, you should be aware that horizontal motion does occur under inversion conditions. Pollutants that cannot be dispersed upward may be dispersed horizontally by surface winds. The combination of vertical air movement and horizontal air flow influences the behavior of plumes from point sources (stacks). Lesson 6 will discuss plume dispersion in greater detail. However, this lesson will describe several kinds of plumes that are characteristic of different stability conditions. The looping plume of Figure 4-19 occurs in highly unstable conditions and results from turbulence caused by the rapid overturning of air. While unstable conditions are generally favorable for pollutant dispersion, momentarily high ground-level concentrations can occur if the plume loops downward to the surface.
  • 19. 10 20 30 40 50 Figure 4-19. Looping plume The fanning plume (Figure 4-20) occurs in stable conditions. The inversion lapse rate discourages vertical motion without prohibiting horizontal motion, and the plume may extend downwind from the source for a long distance. Fanning plumes often occur in the early morning during a radiation inversion. Stable 10 20 30 40 50 Figure 4-20. Fanning plume 2 1 Temperature, °C 2 1 Temperature, °C Unstable
  • 20. The coning plume (Figure 4-21) is characteristic of neutral conditions or slightly stable conditions. It is likely to occur on cloudy days or on sunny days between the breakup of a radiation inversion and the development of unstable daytime conditions. 10 20 30 40 50 Figure 4-21. Coning plume Obviously a major problem for pollutant dispersion is an inversion layer, which acts as a barrier to vertical mixing. The height of a stack in relation to the height of the inversion layer may often influence ground-level pollutant concentrations during an inversion. When conditions are unstable above an inversion (Figure 4-22), the release of a plume above the inversion results in effective dispersion without noticeable effects on ground-level concentrations around the source. This condition is known as lofting. Inversion 10 20 30 40 50 Figure 4-22. Lofting plume 2 1 Temperature, °C 2 1 Temperature, °C Neutral
  • 21. If the plume is released just under an inversion layer, a serious air pollution situation could develop. As the ground warms in the morning, air below an inversion layer becomes unstable. When the instability reaches the level of the plume that is still trapped below the inversion layer, the pollutants can be rapidly transported down toward the ground (Figure 4-23). This is known as fumigation. Ground-level pollutant concentrations can be very high when fumigation occurs. Sufficiently tall stacks can prevent fumigation in most cases. Inversion 10 20 30 40 50 Temperature, °C Figure 4-23. Fumigation 2 1 Thus far you have learned the basic meteorological conditions and events that influence the movement and dispersal of air pollutants in the atmosphere. Lesson 6 explores more fully the behavior of pollutants around point sources, while the next lesson discusses the instrumentation used for meteorological measurement.
  • 22. Review Exercise 1. An infinitesimally small, well-defined body of air that does not readily mix with the surrounding air is a(n): a. Air column b. Air mass c. Air parcel d. Hot air balloon e. b and c 2. The temperature of air ____________________ as atmospheric pressure increases. a. Increases b. Decreases 3. What two atmospheric factors influence the buoyancy of an air parcel? ________________________________________ ________________________________________ 4. If the temperature of an air parcel is cooler than the surrounding air, it will usually: a. Ascend b. Descend c. Stay in the same place 5. The environmental, or prevailing, lapse rate can be determined from the: a. Rate of pressure change in the atmosphere b. Rate of wet air vs. pressure change c. Temperature profile of the atmosphere d. Rate of frontal system passage 6. Changes in the temperature of an air parcel that are due to changes in atmospheric pressure are called: a. Advective b. Adiabatic c. Slope d. Prevailing 7. The dry adiabatic lapse rate is: a. −6°C/1000 m b. < 1°C/1000 m c. −9.8°C/1000 m d. −7.5°C/1000 m
  • 23. 8. True or False? The dry adiabatic lapse rate is fixed and entirely independent of ambient air temperature. a. True b. False 9. A displaced air parcel cools at the wet adiabatic lapse rate once it becomes ____________________. 10. At the wet adiabatic lapse rate, the cooling rate of the air parcel is usually: a. The same as at the dry rate b. Slower than at the dry rate c. Faster than at the dry rate 11. The actual temperature profile of the ambient air can be used to determine the ____________________ lapse rate. 12. True or False? The environmental lapse rate influences the extent to which a parcel of air can rise or descend. a. True b. False 13. The maximum level to which a parcel of air will ascend under a given set of conditions is known as the: a. Ascend/descend level b. Mixing trough c. Mixing height d. Mixing layer 14. The adiabatic lapse rate for a given air parcel will intersect the environmental lapse rate at the: a. Mixing trough b. Moisture rate c. Mixing height d. None of the above 15. A large mixing layer implies that air pollutants have a ___________________ volume of air for dilution. a. Greater b. Lesser 16. True or False? A stable atmosphere resists vertical motion. a. True b. False
  • 24. 17. Vertical mixing due to buoyancy is increased when atmospheric conditions are: a. Unstable b. Neutral c. Stable d. Extremely stable 18. Unstable atmospheric conditions most commonly develop: a. On cloudy days b. On sunny days c. On cloudy nights d. On clear nights 19. On cloudy days with no strong surface heating, atmospheric conditions are likely to be: a. Unstable b. Neutral c. Stable d. Extremely stable 20. In this diagram, a displaced air parcel becomes saturated at an elevation of 2 km. Which of the following stability conditions does the diagram depict? 4 2 Wet adiabatic lapse rate (-6 °C /km) Dry adiabatic lapse rate (-9.8 °C/km) Environmental lapse rate (-7 °C/km) 10 20 30 40 50 Temperature, °C a. Stable below 1 km b. Conditional stability above 1 km c. Neutral from 0 to 2 km d. Conditional instability above 2 km Unstable atmosphere Stable atmosphere 21. A(n) ____________________ acts as a lid on vertical air movement.
  • 25. 22. When the earth's surface cools rapidly, such as between late night and early morning under clear skies, a(n) ____________________ inversion is likely to occur. 23. When vigorous vertical mixing follows a radiation inversion, pollutant plumes will: a. Be trapped near the surface b. Be dispersed away from their source 24. True or False? A high pressure system can cause an elevated temperature inversion to form. a. True b. False 25. The subsidence inversion is associated with ____________________ because it usually forms high above the surface during the day. 26. A subsidence inversion generally tends to last for a relatively ____________________ period of time compared to a radiation inversion. a. Short b. Long 27. Surface-based inversions associated with horizontal air flow, such as when warm air moves over a cold surface, are called ____________________ inversions. a. Subsidence b. Frontal c. Advection d. Adiabatic 28. The ____________________ plume is characteristic of neutral or slightly stable atmospheric conditions. a. Fanning b. Looping c. Coning d. Lofting 29. What is the name of the plume depicted in this illustration? ____________________
  • 26. 2 1 Inversion 10 20 30 40 50 Temperature, °C 30. Which plume is represented by this lapse rate and stack height?____________________ 31. A fanning plume will occur when atmospheric conditions are generally: a. Highly unstable b. Stable c. Neutral 32. The looping plume can cause ____________________ ground-level concentrations of air pollutants. 33. If a plume is released just ____________________ an inversion layer, a serious air pollution situation could develop. a. Under b. Over
  • 27. 34. The plume in this drawing is an example of ____________________. a. Coning b. Looping c. Fumigation d. Lofting
  • 28. Review Exercise Answers 1. c. Air parcel An infinitesimally small, well-defined body of air that does not readily mix with the surrounding air is called an air parcel. 2. a. Increases The temperature of air increases as atmospheric pressure increases. 3. Temperature and pressure Temperature and pressure are two atmospheric factors that influence the buoyancy of an air parcel. 4. b. Descend If the temperature of an air parcel is cooler than the surrounding air, it will usually descend. 5. c. Temperature profile of the atmosphere The environmental, or prevailing, lapse rate can be determined from the temperature profile of the atmosphere. 6. b. Adiabatic Changes in the temperature of an air parcel that are due to changes in atmospheric pressure are called adiabatic. 7. c. −9.8°C/1000 m The dry adiabatic lapse rate is −9.8°C/1000 m. 8. a. True The dry adiabatic lapse rate is fixed and entirely independent of ambient air temperature. 9. Saturated A displaced air parcel cools at the wet adiabatic lapse rate once it becomes saturated. 10. b. Slower than at the dry rate At the wet adiabatic lapse rate, the cooling rate of the air parcel is usually slower than at the dry rate. 11. Environmental The actual temperature profile of the ambient air can be used to determine the environmental lapse rate.
  • 29. 12. a. True The environmental lapse rate influences the extent to which a parcel of air can rise or descend. 13. c. Mixing height The maximum level to which a parcel of air will ascend under a given set of conditions is known as the mixing height. 14. c. Mixing height The adiabatic lapse rate for a given air parcel will intersect the environmental lapse rate at the mixing height. 15. a. Greater A large mixing layer implies that air pollutants have a greater volume of air for dilution. 16. a. True A stable atmosphere resists vertical motion. 17. a. Unstable Vertical mixing due to buoyancy is increased when atmospheric conditions are unstable. 18. b. On sunny days Unstable atmospheric conditions most commonly develop on sunny days. 19. b. Neutral On cloudy days with no strong surface heating, atmospheric conditions are likely to be neutral. 20. d. Conditional instability above 2 km The diagram depicts conditional instability above 2 km. 21. Inversion An inversion acts as a lid on vertical air movement. 22. Radiation When the earth's surface cools rapidly, such as between late night and early morning under clear skies, a radiation inversion is likely to occur. 23. b. Be dispersed away from their source When vigorous vertical mixing follows a radiation inversion, pollutant plumes will be dispersed away from their source.
  • 30. 24. a. True A high pressure system can cause an elevated temperature inversion to form (subsidence inversion). 25. Anticyclones The subsidence inversion is associated with anticyclones because it usually forms high above the surface during the day. 26. b. Long A subsidence inversion generally tends to last for a relatively long period of time compared to a radiation inversion. 27. c. Advection Surface-based inversions associated with horizontal air flow, such as when warm air moves over a cold surface, are called advection inversions. 28. c. Coning The coning plume is characteristic of neutral or slightly stable atmospheric conditions. 29. Looping A looping plume is depicted in this illustration. 30. Lofting A lofting plume is represented by this lapse rate and stack height. 31. b. Stable A fanning plume will occur when atmospheric conditions are generally stable. 32. High The looping plume can cause high ground-level concentrations of air pollutants. 33. a. Under If a plume is released just under an inversion layer, a serious air pollution situation could develop. 34. c. Fumigation The plume in this drawing is an example of fumigation.