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Heat Transfer
Ms Nadia Junaid
Temperature & Heat
• Difference between Heat and Temperature
• What is Heat?
• Heat is a form of energy.
• Energy is capacity of a body to do work.
• How to quantify energy?
• Heat Energy is quantified (measured) in
• Calories, kilo Calories, BTU (British thermal
Unit) or in other energy units.
• What is a Calorie
• Calorie is the amount of heat which is
required to raise the temperature of unit mass
of water (1gm) upto a unit degree (1
centigrade)
Temperature ?
• Temperature is indication of heat energy.
• There are units for indicating temperature like
• Centigrade, Fahren heit, Kelvin, Rankine.
• Temperature scales and their inetrconversion.
• Mercury filled thermometer : Its location in a
capillry at temperature of freezing point of
water is marked as zero, and at boiling
temperature its expansion (location in
capillary marked as 100)
Heat Transfer
• Heat can be transferred from one
location/substance to an other.
• How heat is transferred?
• 1- There must be a difference in temperature
between the location/substances which is
called as temperature gradient
• Temperature gradient is the basic driving force
for transfer of heat.
• Temperature difference is denoted by ΔT
Quantity of heat Transfer and
Rate of heat Transfer
• Quantity of Heat transfer is denoted by Q and
units are Calories, or BTUs.
• Rate of heat transfer is amount of heat
transferred per unit time
• Calories/sec, BTU/hr etc
Question?
• Tell me any other
unit of
Heat/energy?
Answer
• Watt,
• Kilowatt
• Horsepower
• etc.
Conductivity
• Heat Conductivity is the measure of ease of
flow of energy from a substance.
How Heat is Transferred?
• Heat is transferred by three different Modes.
• Conduction
• Convection
• Radiation
Heat Transfer
Modes of Heat Transfer
CONDUCTION
• Heat is transferred from one particle of matter
to another in an object without the
movement of the object.
• Conduction = CONTACT
Conduction
• Stir your hot soup with a metal spoon
• Pretty soon you need a pot holder because
the end of the spoon you are holding gets hot
• This is heat transfer by conduction
• Energy travels up the spoon from the end in
the hot soup to the end in your hand
Have you ever…
• Touched a metal spoon sitting in a pan of boiling
water only to be surprised by HOW hot it is??
Think back to what you know about metals and
nonmetals. What conducts heat better, metal or
nonmetal? Why?
Example of Conduction• Think of a metal spoon in a pot of
water being heated.
• The fast-moving particles of the
fire collide with the slow-moving
particles of the cool pot.
• Because of these collisions, the
slower particles move faster and
heat is transferred.
• Then the particles of the pot
collide with the particles in the
water, which collide with the
particles at one end of the spoon.
• As the particles move faster, the
metal spoon gets hotter. This
process of conduction is
repeated all along the metal until
the entire spoon is hot.
18
Heat Conduction
Conduction is heat transfer by means of
molecular agitation within a material
without any motion of the material as a
whole.
If one end of a metal rod is at a higher
temperature, then energy will be
transferred down the rod toward the colder
end because the higher speed particles will
collide with the slower ones with a net
transfer of energy to the slower ones. TH
TC
conduction though glass
Q
Q
Formula for heat transfer by
conduction
Q = K.A. ΔT
• Where K= Thermal conductivity (
• A= Area
• T = Temperature difference
Thermal Conductivity
21
Material Thermal
conductivity k
(W.m-1.K-1)
diamond 2450
Cu 385
Al 205
Brick 0.2
Glass 0.8
Body fat 0.2
Water 0.6
Wood 0.2
Styrofoam 0.01
Thermal conductivity, k
property of the material
kdiamond very high: perfect heat sink, e.g.
for high power laser diodes
khuman low: core temp relatively
constant (37 oC)
kair very low: good insulator
* home insulation
* woolen clothing
* windows double
glazing
Metals – good conductors:
electrons transfer energy from
hot to cold
22
For conduction between two plane surfaces (eg heat loss through
the wall of a house) the rate of heat transfer is
energy
transferred
through
slab
Q
TH
TC
L
H CQ T T
k A
t L
 


dQ dT
k A
dt dx
 
Thermal conductivity k (W.m-1.K-1)
steady-state
heat current H = dQ/dt
Q QA
Convection
• Energy transfer through movement of fluids at
different temperatures (fluids - liquids and
gases)
• Examples
– Camp fire
• See soot, embers rise & swirl
• Rise upwards – warm air expands
– Why?
CONVECTION
• Convection is the movement that transfers heat within
fluids and air (gas)
• Heat is transferred by currents within the fluid or gas
• Convection = VENTS (through air and liquid particles)
• Convection moves in
a circular pattern
Examples of Convection:
Have you ever noticed that the air near the ceiling is
warmer than the air near the floor? Or that water in a
pool is cooler at the deep end?
Examples: air movement in a home, pot of heating
water.
Pick one of these examples and draw the circular pattern
in your notes.
26
Heat Convection
Convection is heat transfer by mass motion of a fluid such
as air or water when the heated fluid is caused to move
away from the source of heat, carrying energy with it.
Convection above a hot surface occurs because hot air
expands, becomes less dense and rises (natural or free).
Convection assisted by breeze, pump or fan – forced
convection.
Hot water is likewise less dense than cold water and rises,
causing convection currents which transport energy.
Convection coefficient, h
T between surface and air way from surface2 1~ ( )
dQ
h A T T
dt

27
28
Sea & Land Breezes, Monsoons
35 oC 20 oC 17 oC11 oC
What is the role of
heat capacity, c of water and soil?
Radiation
Key Question:
How does heat from
the sun get to Earth?
Radiation
• Transfer of Energy by electromagnetic waves
• No movement of matter – will work in vacuum
or outer space
• No contact or movement of fluid
• Infrared, visible light, UV rays
• Example
– Fire emits radiation (infrared), skin absorbs E,
increase in temperature
RADIATION
• Radiation is the transfer of energy by
electromagnetic waves
• Radiation does NOT require matter to transfer
thermal energy
• Radiation = Radiates (heat escaping the sun)
Radiation
• Radiation can be absorbed and emitted
• Color
– Summer day: wear light or dark clothes?
– Winter day: wear light or dark clothes?
– Why?
Examples of RADIATION
1. Fire
2. Heat Lamps
3. Sun
34
RADIATION
Energy transferred by electromagnetic waves
All materials radiate thermal energy in amounts
determined by their temperature, where the energy is
carried by photons of light in the infrared and visible
portions of the electromagnetic spectrum.
Thermal radiation wavelength ranges:
IR ~ 100 - 0. 8 m
Visible ~ 0.8 - 0.4 m 800 – 400 nm
UV ~0.4 - 0.1 m
For exam: more detail than in the textbook
35
A blackbody absorbs all the radiation incident upon it and emits the max possible
radiation at all wavelengths
(e = a = 1)
A graybody is a surface that absorbs a certain proportion of the energy of a
blackbody, the constant being constant over the entire band of wavelengths
(0  e = a < 1)
emissivity e
absorption coefficient (absorptivity) a
Stefan-Boltzmann constant  = 5.6710-8 W.m-2.K-4
Stefan-Boltzmann formula
P =  AT4
Surface area (m2)
Stefan-Boltzmann constant
5.67 x 10-8 watts/m2K4)
Power
(watts)
Absolute temperature
(K)
Power radiated from the surface of an object
A, e, T
Qrad
4rad
rad
dQ
P Ae T
dt
 
net rad absPP P 
Emission & Stefan-Boltzmann Law
Pnet > 0 net heat transfer out of system
• Surface Area, A
• Emissivity, e = 0 to 1
• Stefan-Boltzmann constant
σ = 5.67 x 10-8 W.m-2.K-4
Problem 1: Estimate the Sun’s temperature
Assume e = 1
Distance from Sun to Earth: RSE = 1.5 x 1011 m
Radius of the Sun: RS = 6.9 x 108 m
Solar radiation at Earth’s surface: I = 103 W.m-2
 = 5.67 x 10-8 W.m-2.K-4
Solution
Power radiated by Sun
Prad = I A = I 4pRSE
2 = (103)(4p)(1.5x1011)2 W = 2.83 x 1026 W
Surface area of the Sun, ASun = 4pRS
2 = 5.98 x 1018 m2
T 4 = Prad / (ASun e  )  T = 5.4 x 103 K
RSE
RS
4
radP Ae T
Problem .2 Estimate the Earth’s surface Temperature TE
(assume NO atmosphere)
Solar constant Io= 1360 W.m-2
AE = 4pRE
2
Pabs = Prad  TE = 255 K = -18 oCe = 1
Earth
Earth albedo (reflectivity) aE = 0.3
Adisk = pRE
2
What is natural greenhouse effect?
Power absorbed by Earth:
Pabs = (1-aE) AdiskIo
Power radiated by Earth:
Prad = AE  TE
4
RSE
radiation emitted from
the surface of a sphere

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Heat transfer

  • 2. Temperature & Heat • Difference between Heat and Temperature • What is Heat? • Heat is a form of energy. • Energy is capacity of a body to do work. • How to quantify energy?
  • 3. • Heat Energy is quantified (measured) in • Calories, kilo Calories, BTU (British thermal Unit) or in other energy units. • What is a Calorie • Calorie is the amount of heat which is required to raise the temperature of unit mass of water (1gm) upto a unit degree (1 centigrade)
  • 4. Temperature ? • Temperature is indication of heat energy. • There are units for indicating temperature like • Centigrade, Fahren heit, Kelvin, Rankine. • Temperature scales and their inetrconversion. • Mercury filled thermometer : Its location in a capillry at temperature of freezing point of water is marked as zero, and at boiling temperature its expansion (location in capillary marked as 100)
  • 5. Heat Transfer • Heat can be transferred from one location/substance to an other. • How heat is transferred? • 1- There must be a difference in temperature between the location/substances which is called as temperature gradient • Temperature gradient is the basic driving force for transfer of heat. • Temperature difference is denoted by ΔT
  • 6. Quantity of heat Transfer and Rate of heat Transfer • Quantity of Heat transfer is denoted by Q and units are Calories, or BTUs. • Rate of heat transfer is amount of heat transferred per unit time • Calories/sec, BTU/hr etc
  • 7. Question? • Tell me any other unit of Heat/energy?
  • 8. Answer • Watt, • Kilowatt • Horsepower • etc.
  • 9. Conductivity • Heat Conductivity is the measure of ease of flow of energy from a substance.
  • 10. How Heat is Transferred? • Heat is transferred by three different Modes. • Conduction • Convection • Radiation
  • 12. Modes of Heat Transfer
  • 13.
  • 14. CONDUCTION • Heat is transferred from one particle of matter to another in an object without the movement of the object. • Conduction = CONTACT
  • 15. Conduction • Stir your hot soup with a metal spoon • Pretty soon you need a pot holder because the end of the spoon you are holding gets hot • This is heat transfer by conduction • Energy travels up the spoon from the end in the hot soup to the end in your hand
  • 16. Have you ever… • Touched a metal spoon sitting in a pan of boiling water only to be surprised by HOW hot it is?? Think back to what you know about metals and nonmetals. What conducts heat better, metal or nonmetal? Why?
  • 17. Example of Conduction• Think of a metal spoon in a pot of water being heated. • The fast-moving particles of the fire collide with the slow-moving particles of the cool pot. • Because of these collisions, the slower particles move faster and heat is transferred. • Then the particles of the pot collide with the particles in the water, which collide with the particles at one end of the spoon. • As the particles move faster, the metal spoon gets hotter. This process of conduction is repeated all along the metal until the entire spoon is hot.
  • 18. 18 Heat Conduction Conduction is heat transfer by means of molecular agitation within a material without any motion of the material as a whole. If one end of a metal rod is at a higher temperature, then energy will be transferred down the rod toward the colder end because the higher speed particles will collide with the slower ones with a net transfer of energy to the slower ones. TH TC conduction though glass Q Q
  • 19. Formula for heat transfer by conduction Q = K.A. ΔT • Where K= Thermal conductivity ( • A= Area • T = Temperature difference
  • 21. 21 Material Thermal conductivity k (W.m-1.K-1) diamond 2450 Cu 385 Al 205 Brick 0.2 Glass 0.8 Body fat 0.2 Water 0.6 Wood 0.2 Styrofoam 0.01 Thermal conductivity, k property of the material kdiamond very high: perfect heat sink, e.g. for high power laser diodes khuman low: core temp relatively constant (37 oC) kair very low: good insulator * home insulation * woolen clothing * windows double glazing Metals – good conductors: electrons transfer energy from hot to cold
  • 22. 22 For conduction between two plane surfaces (eg heat loss through the wall of a house) the rate of heat transfer is energy transferred through slab Q TH TC L H CQ T T k A t L     dQ dT k A dt dx   Thermal conductivity k (W.m-1.K-1) steady-state heat current H = dQ/dt Q QA
  • 23. Convection • Energy transfer through movement of fluids at different temperatures (fluids - liquids and gases) • Examples – Camp fire • See soot, embers rise & swirl • Rise upwards – warm air expands – Why?
  • 24. CONVECTION • Convection is the movement that transfers heat within fluids and air (gas) • Heat is transferred by currents within the fluid or gas • Convection = VENTS (through air and liquid particles) • Convection moves in a circular pattern
  • 25. Examples of Convection: Have you ever noticed that the air near the ceiling is warmer than the air near the floor? Or that water in a pool is cooler at the deep end? Examples: air movement in a home, pot of heating water. Pick one of these examples and draw the circular pattern in your notes.
  • 26. 26 Heat Convection Convection is heat transfer by mass motion of a fluid such as air or water when the heated fluid is caused to move away from the source of heat, carrying energy with it. Convection above a hot surface occurs because hot air expands, becomes less dense and rises (natural or free). Convection assisted by breeze, pump or fan – forced convection. Hot water is likewise less dense than cold water and rises, causing convection currents which transport energy. Convection coefficient, h T between surface and air way from surface2 1~ ( ) dQ h A T T dt 
  • 27. 27
  • 28. 28 Sea & Land Breezes, Monsoons 35 oC 20 oC 17 oC11 oC What is the role of heat capacity, c of water and soil?
  • 29. Radiation Key Question: How does heat from the sun get to Earth?
  • 30. Radiation • Transfer of Energy by electromagnetic waves • No movement of matter – will work in vacuum or outer space • No contact or movement of fluid • Infrared, visible light, UV rays • Example – Fire emits radiation (infrared), skin absorbs E, increase in temperature
  • 31. RADIATION • Radiation is the transfer of energy by electromagnetic waves • Radiation does NOT require matter to transfer thermal energy • Radiation = Radiates (heat escaping the sun)
  • 32. Radiation • Radiation can be absorbed and emitted • Color – Summer day: wear light or dark clothes? – Winter day: wear light or dark clothes? – Why?
  • 33. Examples of RADIATION 1. Fire 2. Heat Lamps 3. Sun
  • 34. 34 RADIATION Energy transferred by electromagnetic waves All materials radiate thermal energy in amounts determined by their temperature, where the energy is carried by photons of light in the infrared and visible portions of the electromagnetic spectrum. Thermal radiation wavelength ranges: IR ~ 100 - 0. 8 m Visible ~ 0.8 - 0.4 m 800 – 400 nm UV ~0.4 - 0.1 m For exam: more detail than in the textbook
  • 35. 35 A blackbody absorbs all the radiation incident upon it and emits the max possible radiation at all wavelengths (e = a = 1) A graybody is a surface that absorbs a certain proportion of the energy of a blackbody, the constant being constant over the entire band of wavelengths (0  e = a < 1) emissivity e absorption coefficient (absorptivity) a Stefan-Boltzmann constant  = 5.6710-8 W.m-2.K-4
  • 36. Stefan-Boltzmann formula P =  AT4 Surface area (m2) Stefan-Boltzmann constant 5.67 x 10-8 watts/m2K4) Power (watts) Absolute temperature (K)
  • 37. Power radiated from the surface of an object A, e, T Qrad 4rad rad dQ P Ae T dt   net rad absPP P  Emission & Stefan-Boltzmann Law Pnet > 0 net heat transfer out of system • Surface Area, A • Emissivity, e = 0 to 1 • Stefan-Boltzmann constant σ = 5.67 x 10-8 W.m-2.K-4
  • 38. Problem 1: Estimate the Sun’s temperature Assume e = 1 Distance from Sun to Earth: RSE = 1.5 x 1011 m Radius of the Sun: RS = 6.9 x 108 m Solar radiation at Earth’s surface: I = 103 W.m-2  = 5.67 x 10-8 W.m-2.K-4 Solution Power radiated by Sun Prad = I A = I 4pRSE 2 = (103)(4p)(1.5x1011)2 W = 2.83 x 1026 W Surface area of the Sun, ASun = 4pRS 2 = 5.98 x 1018 m2 T 4 = Prad / (ASun e  )  T = 5.4 x 103 K RSE RS 4 radP Ae T
  • 39. Problem .2 Estimate the Earth’s surface Temperature TE (assume NO atmosphere) Solar constant Io= 1360 W.m-2 AE = 4pRE 2 Pabs = Prad  TE = 255 K = -18 oCe = 1 Earth Earth albedo (reflectivity) aE = 0.3 Adisk = pRE 2 What is natural greenhouse effect? Power absorbed by Earth: Pabs = (1-aE) AdiskIo Power radiated by Earth: Prad = AE  TE 4 RSE radiation emitted from the surface of a sphere