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The steady two-dimensional temperature (7) distribution in an isotropic heat conducting materials is given by Laplace equation, The side lengths of the domain are L=8 and H=6. Assuming consistent units are used, boundary conditions are shown in Figure 2. Use the grid indicated in Figure 2 to solve for the temperature distribution.

The steady two-dimensional temperature (7) distribution in an isotropic heat conducting materials is given by Laplace equation, The side lengths of the domain are L=8 and H=6. Assuming consistent units are used, boundary conditions are shown in Figure 2. Use the grid indicated in Figure 2 to solve for the temperature distribution.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The steady two-dimensional temperature (7) distribution in an isotropic heat conducting materials is given by Laplace equation, The side lengths of the domain are I=8 and H=6. Assuming consistent units are used, boundary conditions are shown in Figure 2. Use the grid indicated in Figure 2 to solve for the temperature distribution. H=6 T=100 T=50 T=50 T=100 L=8 T=40 T₁ T3 T=40 &T O'T Central finite difference formula f'(x)= f(x+h)-f(x-h) 2h ƒ"(x) = f(x+h)−2ƒ (x) + f(x−h) T=15 T₂ T₁ T=20 Figure 2 Finite difference nodal scheme बे -6 x
Transcribed Image Text:The steady two-dimensional temperature (7) distribution in an isotropic heat conducting materials is given by Laplace equation, The side lengths of the domain are I=8 and H=6. Assuming consistent units are used, boundary conditions are shown in Figure 2. Use the grid indicated in Figure 2 to solve for the temperature distribution. H=6 T=100 T=50 T=50 T=100 L=8 T=40 T₁ T3 T=40 &T O'T Central finite difference formula f'(x)= f(x+h)-f(x-h) 2h ƒ"(x) = f(x+h)−2ƒ (x) + f(x−h) T=15 T₂ T₁ T=20 Figure 2 Finite difference nodal scheme बे -6 x
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