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Heat Transfer
Prof. S A Dahake
Basics of Heat Transfer
 Heat transfer is a discipline of thermal engineering that concerns the generation, use,
conversion, and exchange of thermal energy
 Heat is the energy which can transfer from one place to another due to temperature
difference
 Heat transfer is the study of rate of transfer of heat energy
Modes of Heat Transfer
Conduction
 It is the transfer of heat from one part to another part
of substance without transfer of molecules
 Conduction occurs in solid, liquid and gases
 Example is: when heat provide to metal rod from one
end it feels to other end
Fouriers Law
 The rate of heat flow through a simple homogeneous solid is directly
proportional to the area measured normal to the direction of heat flow
and the temperature gradient in the direction of heat flow.
 𝑄 ∝ A
𝑑𝑇
𝑑𝑥
 Q – heat transfer rate
 A – Area of heat flow normal to heat flow direction
 dT – Temperature difference between two faces of block thickness dx
 dx thickness of solid body

𝑑𝑇
𝑑𝑥
- Temperature gradient in the direction of heat flow
Cont…
 Thus, Q = -k A
𝑑𝑇
𝑑𝑥
 Heat flux q =
𝑄
𝐴
= −𝑘
𝑑𝑇
𝑑𝑥
 Where, k is sign of proportionality called coefficient of thermal
conductivity of material
 Negative sign indicate heat flow from higher to lower temperature body
Convection
 It is the process of heat transfer between a solid
surface to fluid in motion
 Heat energy is transfer by means of moving
matter
 Convection takes place in liquid and gases
 There are two types of convection
 Natural &
 Forced
 Natural convection or free convection
 It occurs due to temperature differences which affect the density
 Example of natural convection is the rise of smoke from a fire
 Forced convection
 It is a special type of heat transfer in which fluids are forced to move, in order to
the heat transfer
 This forcing can be done with a ceiling fan, a pump, suction device, or other
Cont…
Newtons law of cooling
 The rate of convective heat transfer between a surface and the fluid was first
suggested by Newtons law of cooling
 It states that the rate of heat transfer is proportional to heat flow direction and
temperature difference between watt surface temperature Tw in direction
perpendicular to heat flow direction
 Q ∝ A (Tw-T∞)
 Q = h A (𝑇𝑤 − 𝑇∞)
 Where, h is constant of proportionality called coefficient of convective heat
transfer
 Q =
(Tw−T∞)
1
ℎ𝐴
 Convective thermal resistance, R = 1
ℎ𝐴 =
(𝑇𝑤−𝑇∞)
𝑄
Radiation
 Radiation heat transfer is the energy that is emitted by matter in the form
of photons or electromagnetic waves.
Wiens law
 It states that wavelength λ corresponding to maximum energy is inversely
proportional to the absolute temperature of hot body
 λ =
1
𝑇
 λT = const = 0.0029 mK
Kirchoffs law
 It states that emmisivity of body at a particular temperature is equal to its
absorptivity from the body at same temperature
Stefan- Boltzman law
 This law states that emissive power of black body is directly proportional
to fourth power of its absolute temperature
 q ∝ T^4
 For area A, Q ∝ A. T^4
 Q = σ. A. T^4
 q – emissive power or heat flux
 A – radiating area
 Q – rate of heat energy radiated
 σ – Stefan boltzman constant = 5.67*10^-8 W/m^2k^4
THANK YOU
 Prof S A Dahake

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Heat Transfer

  • 2. Basics of Heat Transfer  Heat transfer is a discipline of thermal engineering that concerns the generation, use, conversion, and exchange of thermal energy  Heat is the energy which can transfer from one place to another due to temperature difference  Heat transfer is the study of rate of transfer of heat energy
  • 3. Modes of Heat Transfer
  • 4. Conduction  It is the transfer of heat from one part to another part of substance without transfer of molecules  Conduction occurs in solid, liquid and gases  Example is: when heat provide to metal rod from one end it feels to other end
  • 5. Fouriers Law  The rate of heat flow through a simple homogeneous solid is directly proportional to the area measured normal to the direction of heat flow and the temperature gradient in the direction of heat flow.  𝑄 ∝ A 𝑑𝑇 𝑑𝑥  Q – heat transfer rate  A – Area of heat flow normal to heat flow direction  dT – Temperature difference between two faces of block thickness dx  dx thickness of solid body  𝑑𝑇 𝑑𝑥 - Temperature gradient in the direction of heat flow
  • 6. Cont…  Thus, Q = -k A 𝑑𝑇 𝑑𝑥  Heat flux q = 𝑄 𝐴 = −𝑘 𝑑𝑇 𝑑𝑥  Where, k is sign of proportionality called coefficient of thermal conductivity of material  Negative sign indicate heat flow from higher to lower temperature body
  • 7. Convection  It is the process of heat transfer between a solid surface to fluid in motion  Heat energy is transfer by means of moving matter  Convection takes place in liquid and gases  There are two types of convection  Natural &  Forced
  • 8.  Natural convection or free convection  It occurs due to temperature differences which affect the density  Example of natural convection is the rise of smoke from a fire  Forced convection  It is a special type of heat transfer in which fluids are forced to move, in order to the heat transfer  This forcing can be done with a ceiling fan, a pump, suction device, or other Cont…
  • 9. Newtons law of cooling  The rate of convective heat transfer between a surface and the fluid was first suggested by Newtons law of cooling  It states that the rate of heat transfer is proportional to heat flow direction and temperature difference between watt surface temperature Tw in direction perpendicular to heat flow direction  Q ∝ A (Tw-T∞)  Q = h A (𝑇𝑤 − 𝑇∞)  Where, h is constant of proportionality called coefficient of convective heat transfer  Q = (Tw−T∞) 1 ℎ𝐴  Convective thermal resistance, R = 1 ℎ𝐴 = (𝑇𝑤−𝑇∞) 𝑄
  • 10. Radiation  Radiation heat transfer is the energy that is emitted by matter in the form of photons or electromagnetic waves.
  • 11. Wiens law  It states that wavelength λ corresponding to maximum energy is inversely proportional to the absolute temperature of hot body  λ = 1 𝑇  λT = const = 0.0029 mK
  • 12. Kirchoffs law  It states that emmisivity of body at a particular temperature is equal to its absorptivity from the body at same temperature
  • 13. Stefan- Boltzman law  This law states that emissive power of black body is directly proportional to fourth power of its absolute temperature  q ∝ T^4  For area A, Q ∝ A. T^4  Q = σ. A. T^4  q – emissive power or heat flux  A – radiating area  Q – rate of heat energy radiated  σ – Stefan boltzman constant = 5.67*10^-8 W/m^2k^4
  • 14. THANK YOU  Prof S A Dahake