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Heat Transfer It is that area of mechanical engineering that deals with the different principles and mechanisms involved in transferring heat from one point to another. Heat Transfer
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Conduction fire Metal rod t 1 Hotter body t 2 Colder body
Convection 2   t 2 t 1 1  Fluid surface
Radiation Hot body Cold body
Conduction L 1 2 k A Q t 1 t 2 Where: L – thickness, meters A – surface area, m 2 k – thermal conductivity, Q – conductive heat flow, Watts
Thermal Circuit Diagram 1 2 R Q
Conduction through a Composite Plane Wall L 1 L 2 L 3 k 1 k 2 k 3 1 A 2 3 4 Q
Thermal Circuit   Diagram 1 2 R 1 Q 4 3 R 2 R 3
A furnace is constructed with 20 cm of firebrick, k = 1.36 W/m-  K, 10 cm of insulating  brick, k = 0.26 W/m-  K, and 20 cm of building brick, k = 0.69 W/m-  K. The inside  surface temperature is 650  C. The heat loss from the furnace wall is 56 W/m 2 .  Determine a. the interface temperature and the outside wall temperature,   C b. the total resistance R t,  for 1 m 2 Given: L 1  =0.20 m ; L 2  = 0.10 m ; L 3  = 0.20 m k 1  = 1.46 ; k 2  = 0.26 ; k 3  = 0.69 t 1  = 650  C  Q/A = 56 W/m 2 L 1 L 2 L 3 1 2 3 4 Q A 1 2 R 1 Q 4 3 R 2 R 3
At 1 to 2 At 1 to 3 At 1 to 4
Convection Where: Q – convective heat flow, Watts A – surface area in contact with the fluid, m 2 h – convective coefficient, W/m 2 -  C or W/m 2 -K t 1 , t 2  – temperature,   C Fluid A 1  2  Q t 2 t 1 h
Conduction from Fluid to Fluid separated by a composite plane wall L 1 L 2 L 3 k 1 k 2 k 3 1 A 2 3 4 Q i    h i   t i o    h o , t o
Thermal Circuit Diagram 1 2 R 1 Q 4 3 R 2 R 3 i o R i R o
Overall Coefficient of Heat Transfer Where: U – overall coefficient of heat transfer, W/m 2 -  C  or W/m 2 -K
CONDUCTION THROUGH CYLINDRICAL COORDINATES Where: r 1  – inside radius, m r 2  – outside radius, m L – length of pipe, m k – thermal conductivity of material, W/m-  C r 1 r 2 1 2 t 1 t 2 Q k
For composite cylindrical pipes (Insulated pipe) r 1 r 2 1 2 t 1 t 2 Q k 1 3 r 3 t 3 k 2
Heat Flow from fluid to fluid separated by a composite cylindrical wall r 1 r 2 1 2 t 1 t 2 Q k 1 3 r 3 t 3 k 2 i h i t i o h o t o
Overall Coefficient of Heat Transfer
Heat Exchangers Types of  Heat  Exchangers 1. Direct Contact Type: The same fluid at  different states are mixed. 2. Shell and Tube Type: One fluid flows inside the tubes and the other fluid on the outside.  Direct Contact m 1 , h 1 m 2 , h 2 m 3 , h 3
 
Shell  and Tube Type m c m c m h m h 1 2 A B t wA t wB h 1 h 2
By energy balance Heat rejected by the hot fluid = Heat absorbed by the cold fluid  Where: m c  – mass flow rate of cold fluid, kg/sec m h  – mass flow rate of hot fluid, kg/sec h – enthalpy, kj/kg t – temperature,  C C pc  – specific heat of the cold fluid, KJ/kg-  C Q – heat transfer, KW h, c – refers to hot and cold, respectively 1, 2 – refers to entering and leaving conditions of hot fluid A, B – refers to entering and leaving conditions of cold fluid
Heat Transfer in terms of OVERALL COEFFICIENT Of HEAT TRANSFER U
Log Mean Temperature Difference (LMTD) Where:  1  – small terminal temperature difference,   C  2  – large terminal temperature diffrence,  C
 

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Heat Transfer

  • 1. Heat Transfer It is that area of mechanical engineering that deals with the different principles and mechanisms involved in transferring heat from one point to another. Heat Transfer
  • 2.
  • 3. Conduction fire Metal rod t 1 Hotter body t 2 Colder body
  • 4. Convection 2  t 2 t 1 1  Fluid surface
  • 5. Radiation Hot body Cold body
  • 6. Conduction L 1 2 k A Q t 1 t 2 Where: L – thickness, meters A – surface area, m 2 k – thermal conductivity, Q – conductive heat flow, Watts
  • 8. Conduction through a Composite Plane Wall L 1 L 2 L 3 k 1 k 2 k 3 1 A 2 3 4 Q
  • 9. Thermal Circuit Diagram 1 2 R 1 Q 4 3 R 2 R 3
  • 10. A furnace is constructed with 20 cm of firebrick, k = 1.36 W/m-  K, 10 cm of insulating brick, k = 0.26 W/m-  K, and 20 cm of building brick, k = 0.69 W/m-  K. The inside surface temperature is 650  C. The heat loss from the furnace wall is 56 W/m 2 . Determine a. the interface temperature and the outside wall temperature,  C b. the total resistance R t, for 1 m 2 Given: L 1 =0.20 m ; L 2 = 0.10 m ; L 3 = 0.20 m k 1 = 1.46 ; k 2 = 0.26 ; k 3 = 0.69 t 1 = 650  C Q/A = 56 W/m 2 L 1 L 2 L 3 1 2 3 4 Q A 1 2 R 1 Q 4 3 R 2 R 3
  • 11. At 1 to 2 At 1 to 3 At 1 to 4
  • 12. Convection Where: Q – convective heat flow, Watts A – surface area in contact with the fluid, m 2 h – convective coefficient, W/m 2 -  C or W/m 2 -K t 1 , t 2 – temperature,  C Fluid A 1  2  Q t 2 t 1 h
  • 13. Conduction from Fluid to Fluid separated by a composite plane wall L 1 L 2 L 3 k 1 k 2 k 3 1 A 2 3 4 Q i  h i t i o  h o , t o
  • 14. Thermal Circuit Diagram 1 2 R 1 Q 4 3 R 2 R 3 i o R i R o
  • 15. Overall Coefficient of Heat Transfer Where: U – overall coefficient of heat transfer, W/m 2 -  C or W/m 2 -K
  • 16. CONDUCTION THROUGH CYLINDRICAL COORDINATES Where: r 1 – inside radius, m r 2 – outside radius, m L – length of pipe, m k – thermal conductivity of material, W/m-  C r 1 r 2 1 2 t 1 t 2 Q k
  • 17. For composite cylindrical pipes (Insulated pipe) r 1 r 2 1 2 t 1 t 2 Q k 1 3 r 3 t 3 k 2
  • 18. Heat Flow from fluid to fluid separated by a composite cylindrical wall r 1 r 2 1 2 t 1 t 2 Q k 1 3 r 3 t 3 k 2 i h i t i o h o t o
  • 19. Overall Coefficient of Heat Transfer
  • 20. Heat Exchangers Types of Heat Exchangers 1. Direct Contact Type: The same fluid at different states are mixed. 2. Shell and Tube Type: One fluid flows inside the tubes and the other fluid on the outside. Direct Contact m 1 , h 1 m 2 , h 2 m 3 , h 3
  • 21.  
  • 22. Shell and Tube Type m c m c m h m h 1 2 A B t wA t wB h 1 h 2
  • 23. By energy balance Heat rejected by the hot fluid = Heat absorbed by the cold fluid Where: m c – mass flow rate of cold fluid, kg/sec m h – mass flow rate of hot fluid, kg/sec h – enthalpy, kj/kg t – temperature,  C C pc – specific heat of the cold fluid, KJ/kg-  C Q – heat transfer, KW h, c – refers to hot and cold, respectively 1, 2 – refers to entering and leaving conditions of hot fluid A, B – refers to entering and leaving conditions of cold fluid
  • 24. Heat Transfer in terms of OVERALL COEFFICIENT Of HEAT TRANSFER U
  • 25. Log Mean Temperature Difference (LMTD) Where:  1 – small terminal temperature difference,  C  2 – large terminal temperature diffrence,  C
  • 26.  

Editor's Notes

  1. Modes of Heat Transfer