Solution Procedure
The steady state energy equation, neglecting the dissipation term, may be written in the following conservative form as
Equation (36.4) may be written as
Where  is the discretized convective terms on the left-hand side of Equation (36.4) and  stands for the iterative counter. To start with, we can assume any guess value of  throughout the flow field. Since  are known from the solution of momentum equation hence Equation 36.4 is now a linear equation. However, from the guess value of  and known correct values of  and  the left-hand side of Equation 36.4 is evaluated. A weighted average scheme or QUICK scheme may be adapted for discretization of the convective terms. After discretizing and evaluating right-hand side of Equation (36.5) we obtain a Poisson equation for the temperature with a source terms on the right hand side. Now, we shall follow SOR technique for solving Equation (36.5). Consider the discretized equation as
where
or
where
 in Equation (36.6) may be assumed to be the most recent value and it may be written as  In order to accelerate the speed of computation we introduce an overrelaxation factor  . Thus
where  is the previous value,  the most recent value and  the calculated better guess. The procedure will continue till the required convergence is achieved. This is equivalent to Gauss-Seidel procedure for solving a system of linear equations.
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