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Unit- II
HEATTRANSFER
Akanksha Patel
Asst Prof.
Contents-
• Objectives,
• Applications,
• Heat transfer mechanisms,
• Fourier’s law,
• Heat transfer by conduction, convection & radiation,
• Heat interchangers & heat exchangers.
HEATTRANSFER
• Classification of heat flow process:- When two objects at different
temperatures are brought into thermal contact, heat flows from the object at
higher temperature to the object at lower temperature.
Or
• Heat transfer is the movement of heat energy from one substance to another.
• Heat (energy) always moves from a warmer substance to a Cooler substance.
cold warm
Mechanism-
• The mechanisms by which the heat may flow are;
• (i) conduction,
• (ii) convection and
• (iii) Radiation.
i. Conduction- When heat flow through a body
without any observable motion of matter,
the type of heat flow is called conduction.
• Mechanism: In metallic solids, thermal conduction results from the unbound electrons (which is
similar to the electrical conductivity). In solids that are poor conductor of heat and in liquids the
heat is conducted by the transport of momentum of the individual molecules along the
temperature gradient. In gases the conduction occurs by the random motion of the molecules,
so that heat is “diffused” from hotter regions to the colder ones.
• Examples: Heat flow through the brick wall of a furnace or the metal wall of a tube.
Convection-
• When heat flows by the transfer of matter, the type of heat flow is called convection. In this case the heat flows
by actual mixing of warmer portions with the cooler portions of the same material. Convection is restricted to
the flow of heat in fluids. Heat flows through fluid by both conduction and convection and it is difficult to
separate the two methods because of the eddies set up by the change of density with temperature.
• Examples, Transfer of heat by the bodies of turbulent flow and by the current of warm air from a room heater
flowing across the room.
• The forces used to create convection currents in fluids are two types.
• Natural convection: When a fluid is heated the warmer part becomes lighter than the cooler part. Due to this
difference in density the cooler (higher density) fluid moves down wards and the warmer (lighter density)
move upwards and thus forming convection current. Thus heat is transferred with mass. This method of heat
transfer is called natural convection.
• Forced convection: If the current (or movement of fluid) is caused not by the density difference but by some
agitator or by some mechanical devices then the type of heat flow associated with it is called forced
convection.
Radiation-
• Heat transfer by radiation is the transfer of heat through electromagnetic waves.
• When radiation is passing through empty space, it is not transformed into heat or any other form , neither
energy, nor it is diverted from its path, means there is no direct contact between substances.
• If the radiation falls on a matter the radiation energy will be transmitted (i.e. pass through the matter),
reflected or absorbed. Only the energy that is absorbed is converted into heat energy.
Fourier’s law
Fourier’s law states that “the rate of heat flow through a uniform material is proportional to the area
(A), the temperature drop (dt) and inversely proportional to the length of the path of flow (x).
Consider an area A of a wall of thickness x.”
then Fourier’s law may be represented by the equation:
dQ/d = kAdt/dx
Where k = proportionality constant If the temperature gradient dt/dx does not vary with time (this
case is observed at steady state of heat flow) then the rate of heat flow is constant with time
dθ /dQ =constant = KAdt/dx
Since normally we know only the temperature at the two faces of the wall hence integrating the
Fourier’s equation: q dx/A = -kdt
On integration, if t1 is the higher temperature than t2. by rearranging we get
q = kA Δ dt/x
BLACK BODY
• Definition: A ‘black body is defined as that body which radiates maximum possible amount of energy at a given
temperature.
• Example: It has been shown that the inside of an enclosed space, at a constant temperature throughout, viewed through an
opening so small that the amount of energy escaping through the opening is negligible, corresponds to a black body.
• Rates of radiation: If the radiation energy emitted by a hot body is plotted against the wave lengths emitted then graphs of
the nature shown in the fig will be obtained. The total amount of radiation emitted by a black body would be given by
integrating the curves of the figure (Effect of temperature on amount and distribution of black-body radiation) The result is
the
Stefan-Boltzmann law q = b AT4 .
• where q = energy radiated per hour (BTU/hr) A = area of radiating surface (sqft)
• T = absolute temperature of the radiating surface
• R (Rankine) = t 0F + 460 For black bodies the value of b = 0.174 x 10 –8 Btu / (hr sqft 0F 4) No actual body radiates quite as
much as the black body. The radiation by any actual body can be expressed as b A T4bq = where b is the emissivity of the
body.
• GREY BODY- as that body whose absorptivity is constant at all wavelength of radiation at a given temperature.
q = b A (T1 4–T2 4 )
HEAT EXCHANGER
• Heat exchanger are the devices that are used to transfer heat flow from hot gas to
liquid through metal wall.
A. shell and tube heater
B. multi-pass heater
C. two pass floating head heater.
HEAT INTERCHANGER
Heat interchanger are the devices that are used to transfer heat flow from one liquid
to another liquid or from one gas to another gas through a metal wall.
a. Baffles
b. Liquid to liquid interchanger
c. Double pipe heat interchanger
d. Finned tubes
TUBULAR HEATER
• Tubular heaters consists of circular tubes, one fluid flows through the inner
tube, while the other flows through the outside space. The heat transfer takes
place across the wall of the tube.
• Advantages: Large heating surface is packed into a small volume.
• Disadvantages: (a) The velocities of the fluid flowing through these tubes are
low because of large cross-sectional area or surface area.
• (b) The expansion of the tubes and shell takes place due to difference in
temperatures.This may lead to loosening of the tube sheets form the casing.
• Initial cost and maintenance costs are very high.
• Construction: It consists of a bundle of parallel tubes,
which are relatively thin-walled. The ends of these tubes
are fitted to two tube-sheets B1 and B2. The bundles of
parallel tubes are enclosed in a cylindrical shell or casing
(C, made of cast iron) to which the tube-sheets (B1 and
B2) are fitted. Two distribution chambers D1 and D2 are
provided at each end of the casing (C). Cold fluid inlet
(H) is fitted with distribution chamber D2 and hot fluid
outlet (I) is fitted with the distribution chamber D1. Steam
inlet F, steam outlet K(called vent) and condensate outlet
G are fitted to the shell.
• Working: Steam is introduced through the steam inlet F
into the space surrounding the parallel tubes. Heat is
transferred to the cold liquid inside the tubes and steam is
condensed. The condensate is removed through
condensate outlet G placed at the bottom of the casing.
Non-condensable gases, if any, escapes through the vent
K provided at the top of the shell. The fluid to be heated
is pumped through the cold fluid inlet (H) in to
distribution chamber D1, flows through the tubes and
collects in the distribution chamber D2. Heat is
transferred from the steam to the cold fluid through the
metal wall. The hot fluid leaves the heater through outlet.
Double pipe heat interchanger
• They often have U-tube structure to
accommodate thermal expansion of the tube
without necessitating expansion joints, it
referred as tube in tube interchanger on fluid
flows through the inner pipe while the other
flow through outer pipe which surround the
inner pipe.
• In a liquid-to-liquid heat interchanger, the fluid
to be heated is passed only once through the
tubes before it is discharged, i.e. single pass. The
heat transfer in this case is not efficient. In
double-pipe heat interchanger number of pass
can be increased as desired.
HEAT INTERCHANGER
• Construction: In this case two pipes are used – one is inserted into the other.
Cold fluid is passed though inner tube. The outer pipe acts as a jacket for the
circulation of hot fluid. All jacketed sections are interconnected Normally the
number of pipe-sections are few. The length of the pipe is also less. The inner
tubes may be made of glass and standard iron. The pipes are connected with
standard return bends and the pipes are stacked vertically. The pipes may have
longitudinal fins on its outer surface for better heat transfer.
• Working: The hot liquid is pumped into the jacketed section. It is circulated
through the annular spaces between them and carried from one section to the
next section. Finally it leaves the jacket. In this process the pipes get heated.
The liquid to be heated is pumped through the inlet of the inner tube. The
liquid gets heat up and flows through the bend tube into the next tube-section
and finally leaves the exchanger.
• Limitation: Double-pipe heat interchanger is economical when the heating
surface area is less than 9 m2.
HEAT INTERCHANGER
Thank you!

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Objectives, applications & mechanisms of Heat transfer

  • 2. Contents- • Objectives, • Applications, • Heat transfer mechanisms, • Fourier’s law, • Heat transfer by conduction, convection & radiation, • Heat interchangers & heat exchangers.
  • 3. HEATTRANSFER • Classification of heat flow process:- When two objects at different temperatures are brought into thermal contact, heat flows from the object at higher temperature to the object at lower temperature. Or • Heat transfer is the movement of heat energy from one substance to another. • Heat (energy) always moves from a warmer substance to a Cooler substance. cold warm
  • 4. Mechanism- • The mechanisms by which the heat may flow are; • (i) conduction, • (ii) convection and • (iii) Radiation. i. Conduction- When heat flow through a body without any observable motion of matter, the type of heat flow is called conduction. • Mechanism: In metallic solids, thermal conduction results from the unbound electrons (which is similar to the electrical conductivity). In solids that are poor conductor of heat and in liquids the heat is conducted by the transport of momentum of the individual molecules along the temperature gradient. In gases the conduction occurs by the random motion of the molecules, so that heat is “diffused” from hotter regions to the colder ones. • Examples: Heat flow through the brick wall of a furnace or the metal wall of a tube.
  • 5. Convection- • When heat flows by the transfer of matter, the type of heat flow is called convection. In this case the heat flows by actual mixing of warmer portions with the cooler portions of the same material. Convection is restricted to the flow of heat in fluids. Heat flows through fluid by both conduction and convection and it is difficult to separate the two methods because of the eddies set up by the change of density with temperature. • Examples, Transfer of heat by the bodies of turbulent flow and by the current of warm air from a room heater flowing across the room. • The forces used to create convection currents in fluids are two types. • Natural convection: When a fluid is heated the warmer part becomes lighter than the cooler part. Due to this difference in density the cooler (higher density) fluid moves down wards and the warmer (lighter density) move upwards and thus forming convection current. Thus heat is transferred with mass. This method of heat transfer is called natural convection. • Forced convection: If the current (or movement of fluid) is caused not by the density difference but by some agitator or by some mechanical devices then the type of heat flow associated with it is called forced convection. Radiation- • Heat transfer by radiation is the transfer of heat through electromagnetic waves. • When radiation is passing through empty space, it is not transformed into heat or any other form , neither energy, nor it is diverted from its path, means there is no direct contact between substances. • If the radiation falls on a matter the radiation energy will be transmitted (i.e. pass through the matter), reflected or absorbed. Only the energy that is absorbed is converted into heat energy.
  • 6. Fourier’s law Fourier’s law states that “the rate of heat flow through a uniform material is proportional to the area (A), the temperature drop (dt) and inversely proportional to the length of the path of flow (x). Consider an area A of a wall of thickness x.” then Fourier’s law may be represented by the equation: dQ/d = kAdt/dx Where k = proportionality constant If the temperature gradient dt/dx does not vary with time (this case is observed at steady state of heat flow) then the rate of heat flow is constant with time dθ /dQ =constant = KAdt/dx Since normally we know only the temperature at the two faces of the wall hence integrating the Fourier’s equation: q dx/A = -kdt On integration, if t1 is the higher temperature than t2. by rearranging we get q = kA Δ dt/x
  • 7. BLACK BODY • Definition: A ‘black body is defined as that body which radiates maximum possible amount of energy at a given temperature. • Example: It has been shown that the inside of an enclosed space, at a constant temperature throughout, viewed through an opening so small that the amount of energy escaping through the opening is negligible, corresponds to a black body. • Rates of radiation: If the radiation energy emitted by a hot body is plotted against the wave lengths emitted then graphs of the nature shown in the fig will be obtained. The total amount of radiation emitted by a black body would be given by integrating the curves of the figure (Effect of temperature on amount and distribution of black-body radiation) The result is the Stefan-Boltzmann law q = b AT4 . • where q = energy radiated per hour (BTU/hr) A = area of radiating surface (sqft) • T = absolute temperature of the radiating surface • R (Rankine) = t 0F + 460 For black bodies the value of b = 0.174 x 10 –8 Btu / (hr sqft 0F 4) No actual body radiates quite as much as the black body. The radiation by any actual body can be expressed as b A T4bq = where b is the emissivity of the body. • GREY BODY- as that body whose absorptivity is constant at all wavelength of radiation at a given temperature. q = b A (T1 4–T2 4 )
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  • 9. HEAT EXCHANGER • Heat exchanger are the devices that are used to transfer heat flow from hot gas to liquid through metal wall. A. shell and tube heater B. multi-pass heater C. two pass floating head heater. HEAT INTERCHANGER Heat interchanger are the devices that are used to transfer heat flow from one liquid to another liquid or from one gas to another gas through a metal wall. a. Baffles b. Liquid to liquid interchanger c. Double pipe heat interchanger d. Finned tubes
  • 10. TUBULAR HEATER • Tubular heaters consists of circular tubes, one fluid flows through the inner tube, while the other flows through the outside space. The heat transfer takes place across the wall of the tube. • Advantages: Large heating surface is packed into a small volume. • Disadvantages: (a) The velocities of the fluid flowing through these tubes are low because of large cross-sectional area or surface area. • (b) The expansion of the tubes and shell takes place due to difference in temperatures.This may lead to loosening of the tube sheets form the casing. • Initial cost and maintenance costs are very high.
  • 11. • Construction: It consists of a bundle of parallel tubes, which are relatively thin-walled. The ends of these tubes are fitted to two tube-sheets B1 and B2. The bundles of parallel tubes are enclosed in a cylindrical shell or casing (C, made of cast iron) to which the tube-sheets (B1 and B2) are fitted. Two distribution chambers D1 and D2 are provided at each end of the casing (C). Cold fluid inlet (H) is fitted with distribution chamber D2 and hot fluid outlet (I) is fitted with the distribution chamber D1. Steam inlet F, steam outlet K(called vent) and condensate outlet G are fitted to the shell. • Working: Steam is introduced through the steam inlet F into the space surrounding the parallel tubes. Heat is transferred to the cold liquid inside the tubes and steam is condensed. The condensate is removed through condensate outlet G placed at the bottom of the casing. Non-condensable gases, if any, escapes through the vent K provided at the top of the shell. The fluid to be heated is pumped through the cold fluid inlet (H) in to distribution chamber D1, flows through the tubes and collects in the distribution chamber D2. Heat is transferred from the steam to the cold fluid through the metal wall. The hot fluid leaves the heater through outlet.
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  • 13. Double pipe heat interchanger • They often have U-tube structure to accommodate thermal expansion of the tube without necessitating expansion joints, it referred as tube in tube interchanger on fluid flows through the inner pipe while the other flow through outer pipe which surround the inner pipe. • In a liquid-to-liquid heat interchanger, the fluid to be heated is passed only once through the tubes before it is discharged, i.e. single pass. The heat transfer in this case is not efficient. In double-pipe heat interchanger number of pass can be increased as desired. HEAT INTERCHANGER
  • 14. • Construction: In this case two pipes are used – one is inserted into the other. Cold fluid is passed though inner tube. The outer pipe acts as a jacket for the circulation of hot fluid. All jacketed sections are interconnected Normally the number of pipe-sections are few. The length of the pipe is also less. The inner tubes may be made of glass and standard iron. The pipes are connected with standard return bends and the pipes are stacked vertically. The pipes may have longitudinal fins on its outer surface for better heat transfer. • Working: The hot liquid is pumped into the jacketed section. It is circulated through the annular spaces between them and carried from one section to the next section. Finally it leaves the jacket. In this process the pipes get heated. The liquid to be heated is pumped through the inlet of the inner tube. The liquid gets heat up and flows through the bend tube into the next tube-section and finally leaves the exchanger. • Limitation: Double-pipe heat interchanger is economical when the heating surface area is less than 9 m2.