Discuss advantages and disadvantages of two methods for solving one-dimensional steady conduction problems.
What will be an ideal response?
The two methods for solving one-dimensional steady conduction problems are matrix inversion and
iteration.
Matrix inversion requires that we have some method (usually software) for inverting the matrix or for
solving a tridiagonal system of equations. The method is difficult to apply to problems with variable
thermal conductivity. If we have access to the required software, the method is simple and fast.
Iteration can handle variable thermal conductivity and does not require software for the inversion of a
matrix. In practice, we will likely need to write a program or use a spreadsheet to carry out iteration
and it may converge slowly.
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What will be an ideal response?