Numerical solutions enclosure

A number of approximate analytical solutions to Eqs. (10.205) and (10.206) have been obtained. However, those solutions are of limited applicability and it is now usual to obtain a numerical solution to the equations. A very simple finite-difference numerical procedure, basically identical to that used before to solve for the flow in a fluid-filled enclosure, will be discussed here. 

Thus, for each case, we end up with a set of N algebraic equations in terms of the unknown radiosities, B, B%,..., Bn. These equations can be solved by using a numerical iteration method as shown in the following example. For convenience, the solution procedure for enclosure radiation problems by the method of net radiation is summarized in Table 9.2 in terms of five steps. 

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