7918821.docx - (a Given data Thermal conductivity of the...

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(a) Given data Thermal conductivity of the material, 1 W/m K k Convection coefficient, 2 100 W/m K h Temperature at exposed surface (having convection process), 100 C T Temperature at remaining surfaces, 50 C s T Consider the convection effect at only one side of the element Use Gauss-Seidel iteration to find temperature distribution. Assuming 3 nodes each at 30 mm distance Schematic diagram of node 1 Write the finite differential equation at node 1 as 2 1 1 2 2 1 2 s s h x h x T T T T k k h x T T T T h x k k     Substitute the value in above equation. 1 2 1 2 1 100 0.030 50 100 100 0.030 1 2 1 1 50 300 5 T T T T 1 2 1 350 5 T T …… (1) Consider the schematic diagram of node 2.
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  • Summer '17
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