Challenge

Week 5.1 - Mid term project - Solving the steady and unsteady 2D heat conduction problem

S. No

CASE STUDY:

METHOD:

NO. OF ITERATIONS

1.

Implicit Steady State

Jacobi

208

Gauss Seidel

112

SOR

75

2.

Implicit Transient State

Jacobi

5454

3.

Gauss Seidel

4925

4.

SOR

1082

5.

Explicit Transient State

Jacobi

1400

implicit unsteady case:

explicit unsteady case:

implicit steady case:

1. We can see the results and found that the solution is converged for steady 2D heat transfer problem, in less number of iterations for SOR than Gauss Seidel and jacobi even time is also less taken.

2. To solve unsteady 2D heat transfer problem using explicit equation is less time taking than implicit forms whether the no. of iteration is kept high.

3. We can see the results and found that the solution is converged for unsteady 2D heat transfer problem using implicit equation, in less number of iterations for SOR than Gauss Seidel and jacobi even time is also less taken

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