EXAMPLE 10.2 Consider the following body in which the inner face is at 200°C and the outer face is at 100°C. The body is very long so that heat transfer takes place in two dimensions only. The thermal conductivity of the body is 1.21 W/m-K. The dimensions of the 1 = 4y=²2/₁ body are shown in Fig. 10.4. Take Ar = Ay m.

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Chapter4: Numerical Analysis Of Heat Conduction
Section: Chapter Questions
Problem 4.35P
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EXAMPLE 10.2 Consider the following body in which the inner face is at 200°C and the
outer face is at 100°C. The body is very long so that heat transfer takes place in two
dimensions only. The thermal conductivity of the body is 1.21 W/m-K. The dimensions of the
body are shown in Fig. 10.4. Take Ar = Ay=;
= Ay= 11/12
m.
3 m
Im
3 m
Im
200°C
5
4
2
3
100°C
Using the Gauss-Seidel method, solve for the temperatures at nodes 1 to 5.
Transcribed Image Text:EXAMPLE 10.2 Consider the following body in which the inner face is at 200°C and the outer face is at 100°C. The body is very long so that heat transfer takes place in two dimensions only. The thermal conductivity of the body is 1.21 W/m-K. The dimensions of the body are shown in Fig. 10.4. Take Ar = Ay=; = Ay= 11/12 m. 3 m Im 3 m Im 200°C 5 4 2 3 100°C Using the Gauss-Seidel method, solve for the temperatures at nodes 1 to 5.
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