Formulation
Consider a steady 2-D heat conduction problem in an arbitrary-shaped two dimensional domain which is subject to various types of boundary conditions as shown in Fig. 18.1. Considering a uniform heat generation rate per unit volume (Q) in the entire solution, the governing equation for heat transfer is
Figure 18.1 Arbitrary 2D domain. |
where T(x,y) is the exact distribution of temperature.
The boundary conditions are:
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