Q) The temperature of a heated plate is 88°C which is cooled by using pin-fins having a length of 5-cm, diameter of 1-cm, and thermal conductivity of (k=201 W/m-°C). The number of pins is (N=1800) and the temperature of the atmosphere is 10°C, while the convection heat transfer coefficient on the surfaces is 37 W/m2.°C. Assuming steady one-dimensional heat transfer along the fin and taking the nodal spacing to be 2.5-cm, determine (a) the temperature at the nodes along the fins, (b) the heat transfer rate from a single fin, (c) the heat transfer rate from all fins, and (d) the overall heat transfer rate from the heated plate which has dimensions of 0.6-m x 0.5-m with the fins.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter7: Forced Convection Inside Tubes And Ducts
Section: Chapter Questions
Problem 7.29P
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Q) The temperature of a heated plate is 88°C which is cooled by using pin-fins
having a length of 5-cm, diameter of 1-cm, and thermal conductivity of (k=201
W/m-°C). The number of pins is (N=1800) and the temperature of the atmosphere
is 10°C, while the convection heat transfer coefficient on the surfaces is 37
W/m2.°C. Assuming steady one-dimensional heat transfer along the fin and
taking the nodal spacing to be 2.5-cm, determine (a) the temperature at the
nodes along the fins, (b) the heat transfer rate from a single fin, (c) the heat
transfer rate from all fins, and (d) the overall heat transfer rate from the heated
plate which has dimensions of 0.6-m x 0.5-m with the fins.
Transcribed Image Text:Q) The temperature of a heated plate is 88°C which is cooled by using pin-fins having a length of 5-cm, diameter of 1-cm, and thermal conductivity of (k=201 W/m-°C). The number of pins is (N=1800) and the temperature of the atmosphere is 10°C, while the convection heat transfer coefficient on the surfaces is 37 W/m2.°C. Assuming steady one-dimensional heat transfer along the fin and taking the nodal spacing to be 2.5-cm, determine (a) the temperature at the nodes along the fins, (b) the heat transfer rate from a single fin, (c) the heat transfer rate from all fins, and (d) the overall heat transfer rate from the heated plate which has dimensions of 0.6-m x 0.5-m with the fins.
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