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Heating and Cooling Load of a
Building
Objectives
1. Introduction to Thermal Comfort
2. Introduction to Heating and cooling load
calculations
3. Heating load calculations
4. Cooling load calculations using CLTD/CLF
method
5. Estimation of the cooling capacity of the system
2
Thermal comfort -Definition
• “A condition of mind that expresses satisfaction with
the thermal environment”
-ASHRAE
• The absence of discomfort: a person feels neither too
warm nor too cold”
- Mclntyre 1980
Thermal Comfort
• The human body has ways to adjust (increase or decrease)
its heat loss, for example by bringing more or less blood to
vessels right under the skin or by changing the total amount
of blood in the body, with more blood produced under
warmer conditions to expel heat more effectively.
• Sweating and the resulting evaporation is another
physiological mechanism to expel heat, but it is not one that
we would call comfortable.
• Thus, we can feel thermally comfortable within a range of
temperatures, but that this range is limited. Experience
reveals that the comfort range for most people extends from
68oF (20oC) to 78oF (25oC).
Parameter affecting Thermal comfort
• Air temperature
• Exchange of radiation
• Air movement
• Humidity
• Activity
• Clothing
Introduction:
• Heating and cooling load calculations are carried out to
estimate the required capacity of heating and cooling
systems, which can maintain the required conditions
(thermal comfort) in the conditioned space.
• To estimate the required cooling or heating capacities, one
has to have information regarding the design indoor and
outdoor conditions, specifications of the building,
specifications of the conditioned space (such as the
occupancy, activity level, various appliances and equipment
used etc.) and any special requirements of the particular
application.
• For comfort applications, the required indoor conditions are
fixed by the criterion of thermal comfort.
6
Heating versus cooling load calculations:
• As the name implies, heating load calculations are carried
out to estimate the heat loss from the building in winter so
as to arrive at required heating capacities.
• Normally during winter months the peak heating load
occurs before sunrise and the outdoor conditions do not
vary significantly throughout the winter season.
• In addition, internal heat sources such as occupants or
appliances are beneficial as they compensate some of the
heat losses.
• As a result, normally, the heat load calculations are carried
out assuming steady state conditions (no solar radiation and
steady outdoor conditions) and neglecting internal heat
sources.
7
• This is a simple but conservative approach that leads to
slight overestimation of the heating capacity. For more
accurate estimation of heating loads, one has to take into
the thermal capacity of the walls and internal heat sources,
which makes the problem more complicated.
• For estimating cooling loads, one has to consider the
unsteady state processes, as the peak cooling load occurs
during the day time and the outside conditions also vary
significantly throughout the day due to solar radiation.
• In addition, all internal sources add on to the cooling loads
and neglecting them would lead to underestimation of the
required cooling capacity and the possibility of not being
able to maintain the required indoor conditions.
8
Heating load calculations:
• There are two kinds of heat losses:
a) The heat transmitted through the walls, ceiling, floor,
glass, or other surfaces;
b) The heat required to warm outdoor air entering the space.
• One has to estimate only the sensible and latent heat losses
from the building walls, roof, ground, windows, doors, due to
infiltration and ventilation.
• The actual heat loss problem is transient because the outdoor
temperature, wind velocity, and sunlight are constantly
changing.
• However, the difference may not be very high as long as the
internal heat generation is not very large (i.e., when the
building is not internally loaded).
9
 External and Internal loads
10
Various Heat gain in a Building
11
• The various heat gains can also be organized into sensible and
latent heat gains.
• Sensible heat gains are those characterized by only a change in
temperature and no change in state.
12
• Latent heat gains are those characterized by moisture gains.
• It is important to note that in the table below, that ventilation,
infiltration, people and miscellaneous equipment both have
sensible and latent heat gains.
 Thermal mass and Time lag factor
• When completing load calculations it is important to
understand the time lag factor. When the sun shines
upon a wall-face early in the morning, although the
wall does experience a heat load, the amount of heat
load experienced IN the building at that time is
minimal. This is due to the thermal mass of the wall.
• Thermal mass is also known as heat capacity and is
defined as the ability of a material to absorb heat.
• The use of thermal mass is shown in buildings that
have high thermal mass walls that absorb heat during
the day, store the heat during occupied periods and
release the heat during the night when it is cool.
13
• The heat transferred through walls, ceilings, roof,
window glass, floors, and doors is all sensible heat
transfer, referred to as transmission heat loss and
computed from
Q = UA(ti -to )
o Where the area A is the net area for the given
component for which U was calculated.
• A separate calculation is made for each different
surface in each room of the structure.
14
 Transmission heat losses
 Infiltration
• Most structures have some air leakage or infiltration. This
results in a heat loss, because the cold dry outdoor air
must be heated to the inside design temperature and
moisture must be added to increase the humidity to the
design value.
• The sensible heat required (to increase the temperature) is
given by
𝑞s = 𝑚ocp (ti - to )
where:
𝑚o = mass flow rate of the infiltrating air, lbm/hr or kg/s
cp = specfic heat of the air, Btu/(lbm-F) or J/(kg-C)
15
• Infiltration is usually estimated on the basis of volume
flow rate at outdoor conditions.so the previous equation
becomes:
𝒒 =
𝑸𝒄𝒑(𝒕𝒊 − 𝒕𝒐)
𝒗𝒐
o where:
Q = volume flow rate, ft3/hr or m3/s
vo = specfic volume, ft3/lbm or m3/kg
• The latent heat required to humidify the air is given by
ql= mo(Wl - Wo)ifg
o where:
Wi − Wo = difference in design humidity ratio, lbmv/lbma or kgv/kga
ifg = latent heat of vaporization at indoor conditions, Btu/lbmv or J/kgv
16
• In terms of volume flow rate of air, above equation
becomes
𝒒𝒍 =
𝑸 𝑾𝒊 − 𝑾𝒐 𝒊𝒇𝒈
𝑽𝒐
• Another approach for estimating the air infiltration in
building structures are
a) Air-Change Method
b) Crack Method
17
 Air-Change Method
• It is based on an assumed number of air changes per hour
based on experience.
• Experienced engineers will often simply make an assumption
of the number of air changes per hour (ACH) that a building
will experience, based on their appraisal of the building type,
construction, and use.
• The range will usually be from 0.5 ACH (very low) to 2.0
ACH (very high).
• Modern office buildings may experience infiltration rates as
low as 0.1 ACH.
• This approach is usually satisfactory for design load
calculation but not recommended for the beginner.
18
• The infiltration rate is related to ACH and space volume
as follows:
Q = ACH (V)/CT
o Where
Q = infiltration rate, cfm or m3/s
ACH = number of air changes per hour, hr−1
V = gross space volume, ft3 or m3
CT = constant, 60 for English units and 3600 for SI
19
 Crack Method
• Outdoor air infiltrates the indoor space through cracks
around doors, windows, lighting fixtures, and joints
between walls and floor, and even through the building
material itself.
• The amount depends on the total area of the cracks, the
type of crack, and the pressure difference across the crack.
• The volume flow rate of infiltration may be calculated by
𝐐 = ACΔPn
o where:
A = effective leakage area of the cracks
C = flow coefficient, which depends on the type of crack and the nature of
the flow in the crack
ΔP = outside − inside pressure difference, Po − Pi
n = exponent that depends on the nature of the flow in the crack,
< 0.4 < n < 1.0.
20
 Variation of Wall averaged pressure
coefficients
21
Variation of wall averaged pressure coefficients for a low-rise building
(Source: ASHRAE Cooling and Heating Load Calculation Manual, 2nd ed., 1992.)
22
Variation of wall averaged pressure coefficients for a tall building
(Source: ASHRAE Cooling and Heating Load Calculation Manual, 2nd ed., 1992.)
23
Average roof pressure coefficients for a tall building.
(Source: ASHRAE Cooling and Heating Load Calculation Manual, 2nd ed., 1992.)
 Heat losses from air ducts
• The heat losses of a duct system can be considerable
when the ducts are not in the conditioned space. Proper
insulation will reduce these losses but cannot
completely eliminate them.
• The loss may be estimated using the following relation:
𝒒 = UAs Δtm
o where:
U = overall heat transfer coefficient, Btu/(hr-ft2-F) or W/(m2-C)
As = outside surface area of the duct, ft2 or m2
Δtm= mean temperature difference between the duct air and the
environment, F or °C
24
 Uncertainty
• Calculating heat gains and determining cooling loads has
very high uncertainty. This is because of the many
assumptions that must be made like occupant loads,
occupant, schedules, outdoor weather conditions,
equipment schedules and heat gains, etc.
25
 Cooling load-
• The cooling load is the amount of heat energy that would
need to be removed from a space (cooling) to maintain the
temperature in an acceptable range.
• Cooling load is the rate at which sensible and latent
heat must be removed from the space to maintain a
constant space dry-bulb air temperature and humidity.
• Sensible heat into the space causes its air temperature to
rise while latent heat is associated with the rise of the
moisture content in the space.
26
Cooling load calculations:
• Load calculations involve a systematic and stepwise
procedure that takes into account all the relevant building
energy flows.
• The cooling load experienced by a building varies in
magnitude from zero (no cooling required) to a maximum
value.
• The design cooling load is a load near the maximum
magnitude, but is not normally the maximum.
• Design cooling load takes into account all the loads
experienced by a building under a specific set of assumed
conditions.
27
28
Various cooling load Components
Methods of estimating cooling loads:
• Cooling load calculations are inherently more
complicated as it involves solving unsteady equations
with unsteady boundary conditions and internal heat
sources.
• Generally, cooling load calculations involve a
systematic, stepwise procedure, using which one can
arrive at the required system capacity by taking into
account all the building energy flows.
29
30
 Required Cooling Capacity for various buildings
• More accurate load estimation methods involve a
combination of analytical methods and empirical
results obtained from actual data, for example the use
of Cooling Load Temperature Difference (CLTD) for
estimating fabric heat gain and the use of Solar Heat
Gain Factor (SHGF) for estimating heat transfer
through fenestration.
• These methods are very widely used by air
conditioning engineers as they yield reasonably
accurate results and estimations can be carried out
manually in a relatively short time.
• ASHRAE suggests different methods for estimating
cooling and heating loads based on applications, such
as for residences, for commercial buildings etc.
31
The assumptions behind design cooling
load are as follows:
1. Design outside conditions are selected from a long-
term statistical database. The conditions will not
necessarily represent any actual year, but are
representative of the location of the building.
2. The load on the building due to solar radiation is
estimated for clear sky conditions.
3. The building occupancy is assumed to be at full
design capacity.
4. All building equipment and appliances are considered
to be operating at a reasonably representative
capacity.
32
 Cooling Load Calculations - Roof/Wall
• The loads from the roofs and walls are conductive
loads. Heat from the outdoors is conducted through the
roofing or wall materials as it enters the space.
• If the problem assumes no radiation loads or does not
take into account time, then the only load is the
conductive load from the temperature difference
between the outdoors and indoors, which is as shown
below.
33
34
Simplified heat gain through Wall and roof
𝑼 = 𝟏
𝟏
𝑹𝑪𝒐𝒏𝒄 +𝑹𝒊𝒏𝒔 + 𝑹𝒈𝒚𝒑
𝐐
= 𝐔 ∗ 𝐀 ∗ (𝐓𝐨𝐮𝐭𝐝𝐨𝐨𝐫
− 𝐓𝐢𝐧𝐝𝐨𝐨𝐫)
• However, the heat effect from the roofs and walls is not
this simple.
• The radiation from the sun onto the building and the time
it takes for the heat to transmit through the materials must
be taken in to account.
• In order to calculate the total effect of the difference
between the indoor and outdoor temperature, the effect of
the solar radiation onto the walls and roofs and the time
factor due to the heat storage of the roof/wall material, the
engineer should use the Cooling Load Temperature
Difference or CLTD.
• These values can be found in the ASHRAE Fundamentals
book 1997 edition and older. These tables are organized
by latitude, roof or wall type, month and wall facing
orientation direction.
35
36
• It is only important to understand what CLTD is and
how to use it when given it in a problem.
• It is also important to note that the CLTD is a simplified
approach to determining the heat load due to roofs and
walls. In actuality the heat load due to the roofs/walls
will also be dependent on many other conditions like the
indoor conditions and the heat radiated from the inner
wall/roof to the indoor space.
𝑸 = 𝑼 ∗ 𝑨 ∗ 𝑪𝑳𝑻𝑫
37
 Cooling Load Calculations -
Skylight/Window
• The heat loads form the skylights and windows can be
broken up into (2) types of loads, conductive and
radiation loads.
• The conductive loads for skylights and windows use
the same formula as that of the roofs and windows,
shown below again.
Conductive loads
Q=U*A*CLTD
38
• The radiation loads or solar transmission is calculated
by multiplying the area of the window or skylight by
the shading coefficient and the solar cooling load
factor.
Q=U*SC*SCL
o Wℎ𝑒𝑟𝑒
SC = shading coefficient
SCL = solar cooling load factor
• The shading coefficient is the ratio of the specific
window or skylight's solar transmission compared to
1/8" clear glass. The shading coefficient is typically
specific to the glass manufacturer and can be found in
the manufacturer's product data.
39
• In lieu of SC, the term Solar Heat Gain Coefficient
(SHGC) is being used by window/skylight
manufacturers. This term is simply found by dividing
the SC by 1.15.
• A lower SHGC or SC means that the glass lets in less
solar gain and a higher SHGC or SC means that the
glass allows more solar gain through.
• The National Fenestration Rating Council (NFRC)
rates glass and certifies the SHGC and U-Factor.
Additional values like Visible Transmittance, Air
Leakage and Condensation Resistance are also tested
and certified.
40
 Cooling Load Calculations - People
• The heat loads from a person depend on the activity
level of the person. ASHRAE has tabulated heat loads
both sensible and latent heat gains from people based on
their activity levels, refer to ASHRAE Fundamentals.
• The loads from people can be calculated using these
heat gain values, the number of people and the cooling
load factor, as shown in the equations below. The
cooling load factor takes into account the time lag factor
and if it is not given it should be assumed to be 1.0.
Sensible loads
Q = N* SHG*CLF
41
o Where
N = number of people, SHG = sensible heat gain, activity dependent
CLF = cooling load factor
• Latent loads
• R-Value stands for thermal resistance and it is
representative of a material’s ability to resist heat.
This is opposite of the U-Factor and thermal
conductance which are measures of a materials
ability to conduct heat. The relationship between
the R-Value, U-Factor and thermal conductance is
shown in the following formula.
Q =N*LHG*CLF
o Where
N = number of people, SHG = latent heat gain, activity dependent
CLF = cooling load factor
42
 Cooling Load Calculations - Lighting
• The heat load from lighting in a building is found by
summing up the number of lights of each type and
wattage, multiplying this number by the usage factor and
the special allowance factor, as shown in the below
equation.
𝑸 = 𝑵 ∗ 𝑾𝒂𝒕𝒕𝒔 ∗
𝟑. 𝟒𝟏𝟐
𝑩𝒕𝒖
𝒉𝒓
𝒘𝒂𝒕𝒕𝒔
∗ 𝑼𝑭 ∗ 𝑺𝑨𝑭 ∗ 𝑺𝑭
o Where
N = number of light type
UF = usage factor
SAF = special allowance factor
SF = space fraction
43
• The wattage of the light is based on the manufacturer
reported value for the lamps in the lighting fixture,
without taking into account the ballast.
• The lighting use factor is the ratio of the time the lights
will be in use. This factor is typically 1.0 for most
applications like offices, classrooms, stores, hospitals,
etc.
• The usage factor may vary for a movie theater or
inactive storage space.
• The special allowance factor takes into account the heat
from ballasts. This factor is typically 1.2 for fluorescent
lights and 1.0 for incandescent lights due to the lack of
ballasts in incandescent lights.
44
45
Lighting type space fractions
• Finally, the space fraction is the fraction of the total
heat from the lights that is transmitted to the space.
• Lights located at the ceiling may have a percentage of
its heat transmitted into the plenum and not into the
space. This means that the air conditioning system, if
the return is ducted, will not see the percentage of the
heat that is transmitted to the plenum. If the plenum is
used as a return, then the air conditioning will see the
total heat from the lighting.
• For example, the space fraction for a hung fluorescent
light (non-ceiling) will be 1.0, because the light is
completely into the space. On the other hand a ceiling
recessed light could have a space fraction of 0.5,
meaning that 50% of its heat is transmitted to the
plenum and the other 50% is transmitted to the space. 46
 Cooling Load Calculations - Miscellaneous
Equipment
• The heat gains from miscellaneous equipment can be
found by the following equations.
𝑸 = 𝟐𝟓𝟒𝟓
𝑩𝒕𝒖
𝒉𝒓
𝑯𝑷
∗
𝑷
ℰ𝒎𝒐𝒕𝒐𝒓
∗ 𝑭𝑼 ∗ 𝑭𝒍
o Where
P = horsepower of motor
ℰ𝒎𝒐𝒕𝒐𝒓 = efficiency of motor
FU= usage factor of the motor
FL = load factor of the motor
47
• The first equation is used for motors, where P is equal to
the nominal horsepower of the motor. Dividing the
horsepower of the motor by the efficiency of the motor
allows the heat gains due to the motor and the heat gains
due to the inefficiency of the motor to be taken into
account.
• If the motor is used continuously then the usage factor
will be 1.0. Otherwise the usage factor will be the
fraction of the time that it is used divided by the total
time the space is occupied.
• The load factor of the motor takes into account the fact
that motors rarely run at its nominally rated capacity. For
example, if a 1 HP motor actually operates at 0.75 HP
then the load factor will by 0.75.
48
• The second equation describes heat gain from everyday
appliances like microwaves, toasters, ranges, ovens and
computers.
• The input energy is found by researching the
manufacturer's product data or by referring to typical
values reported in ASHRAE Fundamentals. ASHRAE
Fundamentals also has typical usage factors and radiated
heat fractions for typical equipment.
• Also shown in ASHRAE Fundamentals are the sensible
heat gains for typical pieces of equipment, which
bypasses the formula below.
𝑸 = 𝒒𝒊𝒏𝒑𝒖𝒕 ∗ 𝑭𝑼 ∗ 𝑭R
49
o Where
qinput= input to the equipment
FU = usage factor
FR = fraction of the total heat heat that to the space
50
 Cooling Load Calculations - Infiltration
• Infiltration is described as outside air that leaks into a
building structure. These leaks could be through the
building construction or through entry doors.
Infiltration heat gains are found by the following
equations.
𝑸 = 𝟔𝟎
𝒎𝒊𝒏
𝒉𝒐𝒖𝒓
∗ 𝟎. 𝟎𝟕𝟓
𝒍𝒃
𝒇𝒕𝟑 ∗ 𝑪𝑭𝑴 ∗ ∆𝒉(
𝐵𝑡𝑢
𝑙𝑏
)
𝑸𝟒. 𝟓 ∗ 𝑪𝑭𝑴 ∗∗ ∆𝒉(
𝐵𝑡𝑢
𝑙𝑏
)
• The first equation is the total heat gains using
enthalpy. In this equation, the volumetric flow rate of
the infiltration or ventilation air must be known. This
value is converted and multiplied by the difference in
enthalpy between the outdoor air conditions and the
indoor air conditions. 51
• The following two equation split the total heat gain into
the sensible and latent heat loads.
• Sensible Heat Gains are calculated by multiplying the
CFM of the infiltrated air by the difference in the
temperatures of the indoor and outdoor air.
𝑸𝒔𝒆𝒏𝒔𝒊𝒃𝒍𝒆 = 𝟔𝟎
𝒎𝒊𝒏
𝒉𝒐𝒖𝒓
∗ 𝟎. 𝟎𝟕𝟓
𝒍𝒃
𝒇𝒕𝟑 ∗ 𝑪𝑭𝑴 ∗ ∆𝒉(
𝐵𝑡𝑢
𝑙𝑏∗𝐹
)(Toutdoor-Tindoor)
𝑸𝒔𝒆𝒏𝒔𝒊𝒃𝒍𝒆 = 𝟏. 𝟎𝟖 ∗ 𝑪𝑭𝑴 ∗∗ (𝑻𝒐𝒖𝒕𝒅𝒐𝒐𝒓 − 𝑻𝒊𝒏𝒅𝒐𝒐𝒓)
52
• Latent Heat Gains are calculated by multiplying the
CFM of infiltrated air by the difference in the humidity
ratio of the indoor air and the outdoor air.
𝑸𝒔𝒆𝒏𝒔𝒊𝒃𝒍𝒆 = 𝟒𝟖𝟒𝟎 ∗ 𝑪𝑭𝑴 ∗∗ (𝑾𝒐𝒖𝒕𝒅𝒐𝒐𝒓 −
𝑾𝒊𝒏𝒅𝒐𝒐𝒓)
W = humidity ratio [lbmwet/ lbmdry]
• It is important to note that these loads are not seen
directly by the cooling coil. These are indirect loads that
occur in each air conditioned space.
• Ventilation air is seen directly at the coil and thus this
air must be cooled down to the supply air distribution
temperature which is much lower than the room
condition air. 53
54
 Example:
An air conditioned room that stands on a well ventilated
basement measures 3 m wide, 3 m high and 6 m deep. One of
the two 3 m walls faces west and contains a double glazed glass
window of size 1.5 m by 1.5 m, mounted flush with the wall
with no external shading. There are no heat gains through the
walls other than the one facing west. Calculate the sensible,
latent and total heat gains on the room, room sensible heat factor
from the following information. What is the required cooling
capacity?
Inside conditions : 25oC dry bulb, 50 percent RH
Outside conditions : 43oC dry bulb, 24oC wet bulb
U-value for wall : 1.78 W/m2.K
U-value for roof : 1.316 W/m2.K
U-value for floor : 1.2 W/m2.K
Effective Temp. Difference (ETD) for wall: 25oC
Effective Temp. Difference (ETD) for roof: 30oC
U-value for glass ; 3.12 W/m2.K 55
Solar Heat Gain (SHG) of glass ; 300 W/m2
Internal Shading Coefficient (SC) of glass: 0.86
Occupancy : 4 (90 W sensible heat/person)
(40 W latent heat/person)
Lighting load : 33 W/m2 of floor area
Appliance load : 600 W (Sensible) + 300 W(latent)
Infiltration : 0.5 Air Changes per Hour(ACH)
Barometric pressure : 101 kPa
56
Solutions
From psychrometric chart,
• For the inside conditions of 250C dry bulb, 50 percent RH:
Wi = 9,9167 x 10-3 kgw/kgda
• For the outside conditions of 430C dry bulb, 240C wet bulb:
Wo = 0.0107 kgw/kgda,
density of dry air = 1.095 kg/m3
External loads:
a. Heat transfer rate through the walls: Since only west wall measuring
3m x 3m with a glass windows of 1.5m x 1.5m is exposed; the heat
transfer rate through this wall is given by:
Qwall = UwallAwallETDwall = 1.78 x (9-2.25) x 25 = 300.38 W (Sensible)
b. Heat transfer rate through roof:
Qroof = UroofAroofETDroof = 1.316 x 18 x 30 = 710.6 W (Sensible)
57
c. Heat transfer rate through floor: Since the room stands on a
well-ventilated basement, we can assume the conditions in
the basement to be same as that of the outside (i.e., 43oC
dry bulb and 24oC wet bulb), since the floor is not exposed
to solar radiation, the driving temperature difference for the
roof is the temperature difference between the outdoor and
indoor, hence:
Qfloor = UfloorAfloorETDfloor
= 1.2 x 18 x 18 = 388.8 W (Sensible)
d. Heat transfer rate through glass: This consists of the
radiative as well as conductive components. Since no
information is available on the value of CLF, it is taken as
1.0. Hence the total heat transfer rate through the glass
window is given by:
Qglass = Aglass [Uglass(To−Ti)+SHGFmaxSC]
=2.25[3.12 x 18 + 300 x 0.86] = 706.9 W (Sensible)
58
e. Heat transfer due to infiltration: The infiltration rate is 0.5
ACH, converting this into mass flow rate, the infiltration
rate in kg/s is given by:
• minf = density of air x (ACH x volume of the room)/3600
= 1.095 x (0.5 x 3x3x6)/3600 = 8.2125 x 10-3 kg/s
• Sensible heat transfer rate due to infiltration, Qs,inf;
Qs,inf = minfcpm(To−Ti)
= 8.2125 x 10-3 x 1021.6 x (43 – 25) = 151 W
(Sensible)
• Latent heat transfer rate due to infiltration, Ql,inf:
Ql,inf = minfhfg(Wo−Wi)
= 8.8125x10-3 x 2501x103(0.0107−0.0099)=16.4 W
(sensible)
59
Internal loads:
a. Load due to occupants: The sensible and latent load due to
occupants are:
Qs,occ = no.of occupants x SHG = 4 x 90 = 360 W
Ql,occ = no.of occupants x LHG = 4 x 40 = 160 W
b. Load due to lighting: Assuming a CLF value of 1.0, the load
due to lighting is:
Qlights = 33 x floor area = 33 x 18 = 594 W (Sensible)
c. Load due to appliance:
Qs,app = 600 W (Sensible)
Ql,app = 300 W (Latent)
60
Total sensible and latent loads are obtained by summing-up all the
sensible and latent load components (both external as well as
internal) as:
Qs,total = 300.38+710.6+388.8+706.9+151+360+594+600
=3811.68 W (Ans.)
Ql,total = 16.4+160+300 = 476.4 W (Ans.)
• Total load on the building is:
Qtotal = Qs,total + Ql,total = 3811.68 + 476.4 = 4288.08 W
(Ans.)
• Room Sensible Heat Factor (RSHF) is given by:
RSHF = Qs,total/Qtotal = 3811.68/4288.08 = 0.889
(Ans.)
61
• To calculate the required cooling capacity, one has to
know the losses in return air ducts.
• Ventilation may be neglected as the infiltration can take
care of the small ventilation requirement.
• Hence using a safety factor of 1.25, the required cooling
capacity is:
• Required cooling capacity = 4288.08 x 1.25 = 5360.1 W ≈
1.5 TR (Ans.)
62

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2021 heating and cooling loads

  • 1. Heating and Cooling Load of a Building
  • 2. Objectives 1. Introduction to Thermal Comfort 2. Introduction to Heating and cooling load calculations 3. Heating load calculations 4. Cooling load calculations using CLTD/CLF method 5. Estimation of the cooling capacity of the system 2
  • 3. Thermal comfort -Definition • “A condition of mind that expresses satisfaction with the thermal environment” -ASHRAE • The absence of discomfort: a person feels neither too warm nor too cold” - Mclntyre 1980
  • 4. Thermal Comfort • The human body has ways to adjust (increase or decrease) its heat loss, for example by bringing more or less blood to vessels right under the skin or by changing the total amount of blood in the body, with more blood produced under warmer conditions to expel heat more effectively. • Sweating and the resulting evaporation is another physiological mechanism to expel heat, but it is not one that we would call comfortable. • Thus, we can feel thermally comfortable within a range of temperatures, but that this range is limited. Experience reveals that the comfort range for most people extends from 68oF (20oC) to 78oF (25oC).
  • 5. Parameter affecting Thermal comfort • Air temperature • Exchange of radiation • Air movement • Humidity • Activity • Clothing
  • 6. Introduction: • Heating and cooling load calculations are carried out to estimate the required capacity of heating and cooling systems, which can maintain the required conditions (thermal comfort) in the conditioned space. • To estimate the required cooling or heating capacities, one has to have information regarding the design indoor and outdoor conditions, specifications of the building, specifications of the conditioned space (such as the occupancy, activity level, various appliances and equipment used etc.) and any special requirements of the particular application. • For comfort applications, the required indoor conditions are fixed by the criterion of thermal comfort. 6
  • 7. Heating versus cooling load calculations: • As the name implies, heating load calculations are carried out to estimate the heat loss from the building in winter so as to arrive at required heating capacities. • Normally during winter months the peak heating load occurs before sunrise and the outdoor conditions do not vary significantly throughout the winter season. • In addition, internal heat sources such as occupants or appliances are beneficial as they compensate some of the heat losses. • As a result, normally, the heat load calculations are carried out assuming steady state conditions (no solar radiation and steady outdoor conditions) and neglecting internal heat sources. 7
  • 8. • This is a simple but conservative approach that leads to slight overestimation of the heating capacity. For more accurate estimation of heating loads, one has to take into the thermal capacity of the walls and internal heat sources, which makes the problem more complicated. • For estimating cooling loads, one has to consider the unsteady state processes, as the peak cooling load occurs during the day time and the outside conditions also vary significantly throughout the day due to solar radiation. • In addition, all internal sources add on to the cooling loads and neglecting them would lead to underestimation of the required cooling capacity and the possibility of not being able to maintain the required indoor conditions. 8
  • 9. Heating load calculations: • There are two kinds of heat losses: a) The heat transmitted through the walls, ceiling, floor, glass, or other surfaces; b) The heat required to warm outdoor air entering the space. • One has to estimate only the sensible and latent heat losses from the building walls, roof, ground, windows, doors, due to infiltration and ventilation. • The actual heat loss problem is transient because the outdoor temperature, wind velocity, and sunlight are constantly changing. • However, the difference may not be very high as long as the internal heat generation is not very large (i.e., when the building is not internally loaded). 9
  • 10.  External and Internal loads 10 Various Heat gain in a Building
  • 11. 11 • The various heat gains can also be organized into sensible and latent heat gains. • Sensible heat gains are those characterized by only a change in temperature and no change in state.
  • 12. 12 • Latent heat gains are those characterized by moisture gains. • It is important to note that in the table below, that ventilation, infiltration, people and miscellaneous equipment both have sensible and latent heat gains.
  • 13.  Thermal mass and Time lag factor • When completing load calculations it is important to understand the time lag factor. When the sun shines upon a wall-face early in the morning, although the wall does experience a heat load, the amount of heat load experienced IN the building at that time is minimal. This is due to the thermal mass of the wall. • Thermal mass is also known as heat capacity and is defined as the ability of a material to absorb heat. • The use of thermal mass is shown in buildings that have high thermal mass walls that absorb heat during the day, store the heat during occupied periods and release the heat during the night when it is cool. 13
  • 14. • The heat transferred through walls, ceilings, roof, window glass, floors, and doors is all sensible heat transfer, referred to as transmission heat loss and computed from Q = UA(ti -to ) o Where the area A is the net area for the given component for which U was calculated. • A separate calculation is made for each different surface in each room of the structure. 14  Transmission heat losses
  • 15.  Infiltration • Most structures have some air leakage or infiltration. This results in a heat loss, because the cold dry outdoor air must be heated to the inside design temperature and moisture must be added to increase the humidity to the design value. • The sensible heat required (to increase the temperature) is given by 𝑞s = 𝑚ocp (ti - to ) where: 𝑚o = mass flow rate of the infiltrating air, lbm/hr or kg/s cp = specfic heat of the air, Btu/(lbm-F) or J/(kg-C) 15
  • 16. • Infiltration is usually estimated on the basis of volume flow rate at outdoor conditions.so the previous equation becomes: 𝒒 = 𝑸𝒄𝒑(𝒕𝒊 − 𝒕𝒐) 𝒗𝒐 o where: Q = volume flow rate, ft3/hr or m3/s vo = specfic volume, ft3/lbm or m3/kg • The latent heat required to humidify the air is given by ql= mo(Wl - Wo)ifg o where: Wi − Wo = difference in design humidity ratio, lbmv/lbma or kgv/kga ifg = latent heat of vaporization at indoor conditions, Btu/lbmv or J/kgv 16
  • 17. • In terms of volume flow rate of air, above equation becomes 𝒒𝒍 = 𝑸 𝑾𝒊 − 𝑾𝒐 𝒊𝒇𝒈 𝑽𝒐 • Another approach for estimating the air infiltration in building structures are a) Air-Change Method b) Crack Method 17
  • 18.  Air-Change Method • It is based on an assumed number of air changes per hour based on experience. • Experienced engineers will often simply make an assumption of the number of air changes per hour (ACH) that a building will experience, based on their appraisal of the building type, construction, and use. • The range will usually be from 0.5 ACH (very low) to 2.0 ACH (very high). • Modern office buildings may experience infiltration rates as low as 0.1 ACH. • This approach is usually satisfactory for design load calculation but not recommended for the beginner. 18
  • 19. • The infiltration rate is related to ACH and space volume as follows: Q = ACH (V)/CT o Where Q = infiltration rate, cfm or m3/s ACH = number of air changes per hour, hr−1 V = gross space volume, ft3 or m3 CT = constant, 60 for English units and 3600 for SI 19
  • 20.  Crack Method • Outdoor air infiltrates the indoor space through cracks around doors, windows, lighting fixtures, and joints between walls and floor, and even through the building material itself. • The amount depends on the total area of the cracks, the type of crack, and the pressure difference across the crack. • The volume flow rate of infiltration may be calculated by 𝐐 = ACΔPn o where: A = effective leakage area of the cracks C = flow coefficient, which depends on the type of crack and the nature of the flow in the crack ΔP = outside − inside pressure difference, Po − Pi n = exponent that depends on the nature of the flow in the crack, < 0.4 < n < 1.0. 20
  • 21.  Variation of Wall averaged pressure coefficients 21 Variation of wall averaged pressure coefficients for a low-rise building (Source: ASHRAE Cooling and Heating Load Calculation Manual, 2nd ed., 1992.)
  • 22. 22 Variation of wall averaged pressure coefficients for a tall building (Source: ASHRAE Cooling and Heating Load Calculation Manual, 2nd ed., 1992.)
  • 23. 23 Average roof pressure coefficients for a tall building. (Source: ASHRAE Cooling and Heating Load Calculation Manual, 2nd ed., 1992.)
  • 24.  Heat losses from air ducts • The heat losses of a duct system can be considerable when the ducts are not in the conditioned space. Proper insulation will reduce these losses but cannot completely eliminate them. • The loss may be estimated using the following relation: 𝒒 = UAs Δtm o where: U = overall heat transfer coefficient, Btu/(hr-ft2-F) or W/(m2-C) As = outside surface area of the duct, ft2 or m2 Δtm= mean temperature difference between the duct air and the environment, F or °C 24
  • 25.  Uncertainty • Calculating heat gains and determining cooling loads has very high uncertainty. This is because of the many assumptions that must be made like occupant loads, occupant, schedules, outdoor weather conditions, equipment schedules and heat gains, etc. 25
  • 26.  Cooling load- • The cooling load is the amount of heat energy that would need to be removed from a space (cooling) to maintain the temperature in an acceptable range. • Cooling load is the rate at which sensible and latent heat must be removed from the space to maintain a constant space dry-bulb air temperature and humidity. • Sensible heat into the space causes its air temperature to rise while latent heat is associated with the rise of the moisture content in the space. 26
  • 27. Cooling load calculations: • Load calculations involve a systematic and stepwise procedure that takes into account all the relevant building energy flows. • The cooling load experienced by a building varies in magnitude from zero (no cooling required) to a maximum value. • The design cooling load is a load near the maximum magnitude, but is not normally the maximum. • Design cooling load takes into account all the loads experienced by a building under a specific set of assumed conditions. 27
  • 29. Methods of estimating cooling loads: • Cooling load calculations are inherently more complicated as it involves solving unsteady equations with unsteady boundary conditions and internal heat sources. • Generally, cooling load calculations involve a systematic, stepwise procedure, using which one can arrive at the required system capacity by taking into account all the building energy flows. 29
  • 30. 30  Required Cooling Capacity for various buildings
  • 31. • More accurate load estimation methods involve a combination of analytical methods and empirical results obtained from actual data, for example the use of Cooling Load Temperature Difference (CLTD) for estimating fabric heat gain and the use of Solar Heat Gain Factor (SHGF) for estimating heat transfer through fenestration. • These methods are very widely used by air conditioning engineers as they yield reasonably accurate results and estimations can be carried out manually in a relatively short time. • ASHRAE suggests different methods for estimating cooling and heating loads based on applications, such as for residences, for commercial buildings etc. 31
  • 32. The assumptions behind design cooling load are as follows: 1. Design outside conditions are selected from a long- term statistical database. The conditions will not necessarily represent any actual year, but are representative of the location of the building. 2. The load on the building due to solar radiation is estimated for clear sky conditions. 3. The building occupancy is assumed to be at full design capacity. 4. All building equipment and appliances are considered to be operating at a reasonably representative capacity. 32
  • 33.  Cooling Load Calculations - Roof/Wall • The loads from the roofs and walls are conductive loads. Heat from the outdoors is conducted through the roofing or wall materials as it enters the space. • If the problem assumes no radiation loads or does not take into account time, then the only load is the conductive load from the temperature difference between the outdoors and indoors, which is as shown below. 33
  • 34. 34 Simplified heat gain through Wall and roof 𝑼 = 𝟏 𝟏 𝑹𝑪𝒐𝒏𝒄 +𝑹𝒊𝒏𝒔 + 𝑹𝒈𝒚𝒑 𝐐 = 𝐔 ∗ 𝐀 ∗ (𝐓𝐨𝐮𝐭𝐝𝐨𝐨𝐫 − 𝐓𝐢𝐧𝐝𝐨𝐨𝐫)
  • 35. • However, the heat effect from the roofs and walls is not this simple. • The radiation from the sun onto the building and the time it takes for the heat to transmit through the materials must be taken in to account. • In order to calculate the total effect of the difference between the indoor and outdoor temperature, the effect of the solar radiation onto the walls and roofs and the time factor due to the heat storage of the roof/wall material, the engineer should use the Cooling Load Temperature Difference or CLTD. • These values can be found in the ASHRAE Fundamentals book 1997 edition and older. These tables are organized by latitude, roof or wall type, month and wall facing orientation direction. 35
  • 36. 36 • It is only important to understand what CLTD is and how to use it when given it in a problem. • It is also important to note that the CLTD is a simplified approach to determining the heat load due to roofs and walls. In actuality the heat load due to the roofs/walls will also be dependent on many other conditions like the indoor conditions and the heat radiated from the inner wall/roof to the indoor space. 𝑸 = 𝑼 ∗ 𝑨 ∗ 𝑪𝑳𝑻𝑫
  • 37. 37
  • 38.  Cooling Load Calculations - Skylight/Window • The heat loads form the skylights and windows can be broken up into (2) types of loads, conductive and radiation loads. • The conductive loads for skylights and windows use the same formula as that of the roofs and windows, shown below again. Conductive loads Q=U*A*CLTD 38
  • 39. • The radiation loads or solar transmission is calculated by multiplying the area of the window or skylight by the shading coefficient and the solar cooling load factor. Q=U*SC*SCL o Wℎ𝑒𝑟𝑒 SC = shading coefficient SCL = solar cooling load factor • The shading coefficient is the ratio of the specific window or skylight's solar transmission compared to 1/8" clear glass. The shading coefficient is typically specific to the glass manufacturer and can be found in the manufacturer's product data. 39
  • 40. • In lieu of SC, the term Solar Heat Gain Coefficient (SHGC) is being used by window/skylight manufacturers. This term is simply found by dividing the SC by 1.15. • A lower SHGC or SC means that the glass lets in less solar gain and a higher SHGC or SC means that the glass allows more solar gain through. • The National Fenestration Rating Council (NFRC) rates glass and certifies the SHGC and U-Factor. Additional values like Visible Transmittance, Air Leakage and Condensation Resistance are also tested and certified. 40
  • 41.  Cooling Load Calculations - People • The heat loads from a person depend on the activity level of the person. ASHRAE has tabulated heat loads both sensible and latent heat gains from people based on their activity levels, refer to ASHRAE Fundamentals. • The loads from people can be calculated using these heat gain values, the number of people and the cooling load factor, as shown in the equations below. The cooling load factor takes into account the time lag factor and if it is not given it should be assumed to be 1.0. Sensible loads Q = N* SHG*CLF 41
  • 42. o Where N = number of people, SHG = sensible heat gain, activity dependent CLF = cooling load factor • Latent loads • R-Value stands for thermal resistance and it is representative of a material’s ability to resist heat. This is opposite of the U-Factor and thermal conductance which are measures of a materials ability to conduct heat. The relationship between the R-Value, U-Factor and thermal conductance is shown in the following formula. Q =N*LHG*CLF o Where N = number of people, SHG = latent heat gain, activity dependent CLF = cooling load factor 42
  • 43.  Cooling Load Calculations - Lighting • The heat load from lighting in a building is found by summing up the number of lights of each type and wattage, multiplying this number by the usage factor and the special allowance factor, as shown in the below equation. 𝑸 = 𝑵 ∗ 𝑾𝒂𝒕𝒕𝒔 ∗ 𝟑. 𝟒𝟏𝟐 𝑩𝒕𝒖 𝒉𝒓 𝒘𝒂𝒕𝒕𝒔 ∗ 𝑼𝑭 ∗ 𝑺𝑨𝑭 ∗ 𝑺𝑭 o Where N = number of light type UF = usage factor SAF = special allowance factor SF = space fraction 43
  • 44. • The wattage of the light is based on the manufacturer reported value for the lamps in the lighting fixture, without taking into account the ballast. • The lighting use factor is the ratio of the time the lights will be in use. This factor is typically 1.0 for most applications like offices, classrooms, stores, hospitals, etc. • The usage factor may vary for a movie theater or inactive storage space. • The special allowance factor takes into account the heat from ballasts. This factor is typically 1.2 for fluorescent lights and 1.0 for incandescent lights due to the lack of ballasts in incandescent lights. 44
  • 46. • Finally, the space fraction is the fraction of the total heat from the lights that is transmitted to the space. • Lights located at the ceiling may have a percentage of its heat transmitted into the plenum and not into the space. This means that the air conditioning system, if the return is ducted, will not see the percentage of the heat that is transmitted to the plenum. If the plenum is used as a return, then the air conditioning will see the total heat from the lighting. • For example, the space fraction for a hung fluorescent light (non-ceiling) will be 1.0, because the light is completely into the space. On the other hand a ceiling recessed light could have a space fraction of 0.5, meaning that 50% of its heat is transmitted to the plenum and the other 50% is transmitted to the space. 46
  • 47.  Cooling Load Calculations - Miscellaneous Equipment • The heat gains from miscellaneous equipment can be found by the following equations. 𝑸 = 𝟐𝟓𝟒𝟓 𝑩𝒕𝒖 𝒉𝒓 𝑯𝑷 ∗ 𝑷 ℰ𝒎𝒐𝒕𝒐𝒓 ∗ 𝑭𝑼 ∗ 𝑭𝒍 o Where P = horsepower of motor ℰ𝒎𝒐𝒕𝒐𝒓 = efficiency of motor FU= usage factor of the motor FL = load factor of the motor 47
  • 48. • The first equation is used for motors, where P is equal to the nominal horsepower of the motor. Dividing the horsepower of the motor by the efficiency of the motor allows the heat gains due to the motor and the heat gains due to the inefficiency of the motor to be taken into account. • If the motor is used continuously then the usage factor will be 1.0. Otherwise the usage factor will be the fraction of the time that it is used divided by the total time the space is occupied. • The load factor of the motor takes into account the fact that motors rarely run at its nominally rated capacity. For example, if a 1 HP motor actually operates at 0.75 HP then the load factor will by 0.75. 48
  • 49. • The second equation describes heat gain from everyday appliances like microwaves, toasters, ranges, ovens and computers. • The input energy is found by researching the manufacturer's product data or by referring to typical values reported in ASHRAE Fundamentals. ASHRAE Fundamentals also has typical usage factors and radiated heat fractions for typical equipment. • Also shown in ASHRAE Fundamentals are the sensible heat gains for typical pieces of equipment, which bypasses the formula below. 𝑸 = 𝒒𝒊𝒏𝒑𝒖𝒕 ∗ 𝑭𝑼 ∗ 𝑭R 49
  • 50. o Where qinput= input to the equipment FU = usage factor FR = fraction of the total heat heat that to the space 50
  • 51.  Cooling Load Calculations - Infiltration • Infiltration is described as outside air that leaks into a building structure. These leaks could be through the building construction or through entry doors. Infiltration heat gains are found by the following equations. 𝑸 = 𝟔𝟎 𝒎𝒊𝒏 𝒉𝒐𝒖𝒓 ∗ 𝟎. 𝟎𝟕𝟓 𝒍𝒃 𝒇𝒕𝟑 ∗ 𝑪𝑭𝑴 ∗ ∆𝒉( 𝐵𝑡𝑢 𝑙𝑏 ) 𝑸𝟒. 𝟓 ∗ 𝑪𝑭𝑴 ∗∗ ∆𝒉( 𝐵𝑡𝑢 𝑙𝑏 ) • The first equation is the total heat gains using enthalpy. In this equation, the volumetric flow rate of the infiltration or ventilation air must be known. This value is converted and multiplied by the difference in enthalpy between the outdoor air conditions and the indoor air conditions. 51
  • 52. • The following two equation split the total heat gain into the sensible and latent heat loads. • Sensible Heat Gains are calculated by multiplying the CFM of the infiltrated air by the difference in the temperatures of the indoor and outdoor air. 𝑸𝒔𝒆𝒏𝒔𝒊𝒃𝒍𝒆 = 𝟔𝟎 𝒎𝒊𝒏 𝒉𝒐𝒖𝒓 ∗ 𝟎. 𝟎𝟕𝟓 𝒍𝒃 𝒇𝒕𝟑 ∗ 𝑪𝑭𝑴 ∗ ∆𝒉( 𝐵𝑡𝑢 𝑙𝑏∗𝐹 )(Toutdoor-Tindoor) 𝑸𝒔𝒆𝒏𝒔𝒊𝒃𝒍𝒆 = 𝟏. 𝟎𝟖 ∗ 𝑪𝑭𝑴 ∗∗ (𝑻𝒐𝒖𝒕𝒅𝒐𝒐𝒓 − 𝑻𝒊𝒏𝒅𝒐𝒐𝒓) 52
  • 53. • Latent Heat Gains are calculated by multiplying the CFM of infiltrated air by the difference in the humidity ratio of the indoor air and the outdoor air. 𝑸𝒔𝒆𝒏𝒔𝒊𝒃𝒍𝒆 = 𝟒𝟖𝟒𝟎 ∗ 𝑪𝑭𝑴 ∗∗ (𝑾𝒐𝒖𝒕𝒅𝒐𝒐𝒓 − 𝑾𝒊𝒏𝒅𝒐𝒐𝒓) W = humidity ratio [lbmwet/ lbmdry] • It is important to note that these loads are not seen directly by the cooling coil. These are indirect loads that occur in each air conditioned space. • Ventilation air is seen directly at the coil and thus this air must be cooled down to the supply air distribution temperature which is much lower than the room condition air. 53
  • 54. 54
  • 55.  Example: An air conditioned room that stands on a well ventilated basement measures 3 m wide, 3 m high and 6 m deep. One of the two 3 m walls faces west and contains a double glazed glass window of size 1.5 m by 1.5 m, mounted flush with the wall with no external shading. There are no heat gains through the walls other than the one facing west. Calculate the sensible, latent and total heat gains on the room, room sensible heat factor from the following information. What is the required cooling capacity? Inside conditions : 25oC dry bulb, 50 percent RH Outside conditions : 43oC dry bulb, 24oC wet bulb U-value for wall : 1.78 W/m2.K U-value for roof : 1.316 W/m2.K U-value for floor : 1.2 W/m2.K Effective Temp. Difference (ETD) for wall: 25oC Effective Temp. Difference (ETD) for roof: 30oC U-value for glass ; 3.12 W/m2.K 55
  • 56. Solar Heat Gain (SHG) of glass ; 300 W/m2 Internal Shading Coefficient (SC) of glass: 0.86 Occupancy : 4 (90 W sensible heat/person) (40 W latent heat/person) Lighting load : 33 W/m2 of floor area Appliance load : 600 W (Sensible) + 300 W(latent) Infiltration : 0.5 Air Changes per Hour(ACH) Barometric pressure : 101 kPa 56
  • 57. Solutions From psychrometric chart, • For the inside conditions of 250C dry bulb, 50 percent RH: Wi = 9,9167 x 10-3 kgw/kgda • For the outside conditions of 430C dry bulb, 240C wet bulb: Wo = 0.0107 kgw/kgda, density of dry air = 1.095 kg/m3 External loads: a. Heat transfer rate through the walls: Since only west wall measuring 3m x 3m with a glass windows of 1.5m x 1.5m is exposed; the heat transfer rate through this wall is given by: Qwall = UwallAwallETDwall = 1.78 x (9-2.25) x 25 = 300.38 W (Sensible) b. Heat transfer rate through roof: Qroof = UroofAroofETDroof = 1.316 x 18 x 30 = 710.6 W (Sensible) 57
  • 58. c. Heat transfer rate through floor: Since the room stands on a well-ventilated basement, we can assume the conditions in the basement to be same as that of the outside (i.e., 43oC dry bulb and 24oC wet bulb), since the floor is not exposed to solar radiation, the driving temperature difference for the roof is the temperature difference between the outdoor and indoor, hence: Qfloor = UfloorAfloorETDfloor = 1.2 x 18 x 18 = 388.8 W (Sensible) d. Heat transfer rate through glass: This consists of the radiative as well as conductive components. Since no information is available on the value of CLF, it is taken as 1.0. Hence the total heat transfer rate through the glass window is given by: Qglass = Aglass [Uglass(To−Ti)+SHGFmaxSC] =2.25[3.12 x 18 + 300 x 0.86] = 706.9 W (Sensible) 58
  • 59. e. Heat transfer due to infiltration: The infiltration rate is 0.5 ACH, converting this into mass flow rate, the infiltration rate in kg/s is given by: • minf = density of air x (ACH x volume of the room)/3600 = 1.095 x (0.5 x 3x3x6)/3600 = 8.2125 x 10-3 kg/s • Sensible heat transfer rate due to infiltration, Qs,inf; Qs,inf = minfcpm(To−Ti) = 8.2125 x 10-3 x 1021.6 x (43 – 25) = 151 W (Sensible) • Latent heat transfer rate due to infiltration, Ql,inf: Ql,inf = minfhfg(Wo−Wi) = 8.8125x10-3 x 2501x103(0.0107−0.0099)=16.4 W (sensible) 59
  • 60. Internal loads: a. Load due to occupants: The sensible and latent load due to occupants are: Qs,occ = no.of occupants x SHG = 4 x 90 = 360 W Ql,occ = no.of occupants x LHG = 4 x 40 = 160 W b. Load due to lighting: Assuming a CLF value of 1.0, the load due to lighting is: Qlights = 33 x floor area = 33 x 18 = 594 W (Sensible) c. Load due to appliance: Qs,app = 600 W (Sensible) Ql,app = 300 W (Latent) 60
  • 61. Total sensible and latent loads are obtained by summing-up all the sensible and latent load components (both external as well as internal) as: Qs,total = 300.38+710.6+388.8+706.9+151+360+594+600 =3811.68 W (Ans.) Ql,total = 16.4+160+300 = 476.4 W (Ans.) • Total load on the building is: Qtotal = Qs,total + Ql,total = 3811.68 + 476.4 = 4288.08 W (Ans.) • Room Sensible Heat Factor (RSHF) is given by: RSHF = Qs,total/Qtotal = 3811.68/4288.08 = 0.889 (Ans.) 61
  • 62. • To calculate the required cooling capacity, one has to know the losses in return air ducts. • Ventilation may be neglected as the infiltration can take care of the small ventilation requirement. • Hence using a safety factor of 1.25, the required cooling capacity is: • Required cooling capacity = 4288.08 x 1.25 = 5360.1 W ≈ 1.5 TR (Ans.) 62