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 T₁ = 40 C and h = 1200 W/m³ C.

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter3: Torsion
Section: Chapter Questions
Problem 3.3.3P: Repeat Problem 3.3-1, but now use a circular tube with outer diameter d0= 2.5 in. and inner diameter...
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FROM BOOK: ENGINEERING THERMOFLUIDS, M. MASSOUD

78. One side of the bar of Problem 76 is now insulated. Find the temperature dis-
tribution in the bar. (please refer to the images uploaded)

Insulated Boundary
cm
T,- 20 C
T- 20 C
1 cm
T,- 200 C
Figure for Problem 78
Transcribed Image Text:Insulated Boundary cm T,- 20 C T- 20 C 1 cm T,- 200 C Figure for Problem 78
paf
76. All surfaces of an infinitely käg 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/m. 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/m C.
IVa. Heat Transfer: Conduction
516
Figure for Problem 74
Figure for Problem 75
Figure for Problem 76
Transcribed Image Text:paf 76. All surfaces of an infinitely käg 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/m. 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/m C. IVa. Heat Transfer: Conduction 516 Figure for Problem 74 Figure for Problem 75 Figure for Problem 76
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