13.13 A large plate of stainless steel with thickness of 5 cm and thermal conductivity of k = 15 W/m-°C is subjected to an internal uniform heat generation throughout the plate at constant rate of Q = 10 x 106 W/m³. One side of the plate is maintained at 0°C by ice water, and the other side is subjected to convection to an environment at Tx = 35°C, with heat transfer coefficient h = 40 W/m2- C, as shown in Figure P13–13. Use three elements in a finite element model to estimate the temperatures at each surface and in the middle of the plate's thickness. Assume a one-dimensional heat transfer through the plate. 13 Heat Transfer and Mass Transport Stainless steel W 0°C Q = 10 x 106 3 m Figure P13-13 5 cm

Elements Of Electromagnetics
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13.13 A large plate of stainless steel with thickness of 5 cm and thermal conductivity of
k = 15 W/m-°C is subjected to an internal uniform heat generation throughout the
plate at constant rate of Q = 10 x 106 W/m³. One side of the plate is maintained at
0°C by ice water, and the other side is subjected to convection to an environment at
T = 35°C, with heat transfer coefficient h = 40 W/m²-°C, as shown in Figure P13-13.
Use three elements in a finite element model to estimate the temperatures at each
surface and in the middle of the plate's thickness. Assume a one-dimensional heat
transfer through the plate.
13 Heat Transfer and Mass Transport
Stainless steel
h
W
Q = 10 x 106
m²
0°C
T
Figure P13-13
5 cm
Transcribed Image Text:13.13 A large plate of stainless steel with thickness of 5 cm and thermal conductivity of k = 15 W/m-°C is subjected to an internal uniform heat generation throughout the plate at constant rate of Q = 10 x 106 W/m³. One side of the plate is maintained at 0°C by ice water, and the other side is subjected to convection to an environment at T = 35°C, with heat transfer coefficient h = 40 W/m²-°C, as shown in Figure P13-13. Use three elements in a finite element model to estimate the temperatures at each surface and in the middle of the plate's thickness. Assume a one-dimensional heat transfer through the plate. 13 Heat Transfer and Mass Transport Stainless steel h W Q = 10 x 106 m² 0°C T Figure P13-13 5 cm
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