In steady state condition, the lateral surfaces of the plate are insulated, and the bottom surface is heated with a uniform heat flux. The thermal conductivity coefficient of the plate is k, and its upper surface is cooled by convection. a) Find the temperature distribution inside the plate. b) Find the temperatures at x = 0 and x = L. c) Find the amount of heat transfer transferred.

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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.38P
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In steady state condition, the lateral surfaces of the plate are insulated, and the bottom
surface is heated with a uniform heat flux. The thermal conductivity coefficient of the plate is k, and its
upper surface is cooled by convection.
a) Find the temperature distribution inside the plate.
b) Find the temperatures at x = 0 and x = L.
c) Find the amount of heat transfer transferred.
NOTE: Assume one-dimensional heat conduction.
"ID" is the last two digits of your student number (For example, if your student number is
2028151001, your ID-01. So, you must multiply the related term with 1).
h = 27 W / m?.°C
q% = 19500 * ID W/m2
k =15 W/ m.°C
T = 22 °C
L =8* ID cm
h, T
X
9% (W/m²)
Transcribed Image Text:In steady state condition, the lateral surfaces of the plate are insulated, and the bottom surface is heated with a uniform heat flux. The thermal conductivity coefficient of the plate is k, and its upper surface is cooled by convection. a) Find the temperature distribution inside the plate. b) Find the temperatures at x = 0 and x = L. c) Find the amount of heat transfer transferred. NOTE: Assume one-dimensional heat conduction. "ID" is the last two digits of your student number (For example, if your student number is 2028151001, your ID-01. So, you must multiply the related term with 1). h = 27 W / m?.°C q% = 19500 * ID W/m2 k =15 W/ m.°C T = 22 °C L =8* ID cm h, T X 9% (W/m²)
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