76. All surfaces of an infinitely long heating element, having a cross section in the shape of a cross, are maintained at 300 C. Due to symmetry, only a quarter of the cross section is shown in the figure. Heat is uniformly produced in the ele- ment at a rate of 100 kW/m³. Find the temperature distribution in the element at the locations shown in the figure. The element thermal conductivity is 35 W/m-K. All surfaces are exposed to a convection boundary condition of T;= 40 C and h = 1200 W/m².C. T, 6 cm 1 cm Figure for Problem 74 Figure for Problem 75 Figure for Problem 76

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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FROM THE BOOK: ENGINEERING THERMOFLUIDS, M. MASSOUD. 

76. All surfaces of an infinitely long heating element, having a cross section in
the shape of a cross, are maintained at 300 C. Due to symmetry, only a quarter of
the cross section is shown in the figure. Heat is uniformly produced in the ele-
ment at a rate of 100 kW/m³. Find the temperature distribution in the element at
the locations shown in the figure. The element thermal conductivity is 35 W/m-K.
All surfaces are exposed to a convection boundary condition of T; = 40 C and h =
1200 W/m².C.
LL
T,
6 cm
1 cm
Figure for Problem 74
Figure for Problem 75
Figure for Problem 76
Transcribed Image Text:76. All surfaces of an infinitely long heating element, having a cross section in the shape of a cross, are maintained at 300 C. Due to symmetry, only a quarter of the cross section is shown in the figure. Heat is uniformly produced in the ele- ment at a rate of 100 kW/m³. Find the temperature distribution in the element at the locations shown in the figure. The element thermal conductivity is 35 W/m-K. All surfaces are exposed to a convection boundary condition of T; = 40 C and h = 1200 W/m².C. LL T, 6 cm 1 cm Figure for Problem 74 Figure for Problem 75 Figure for Problem 76
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