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Old 01-04-2007, 07:13 PM
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Coupled PDEs

I am solving a coupled system of heat equations, with the first equation with a heat source and the second one without, but it depends on the first equation. boundary condition assigned are at the top of the system (x = L), where we have the second equation, k*dT/dx = -h(T - T_ambient). however, at x = 0, where we have the first, and hence the heat source, i have assumed symmetry, and thus assigned dT/dx = 0; On the interface of the coupled system,i assume continuity of heat flux, and ignore resistance.The results look quite fine, but the Bc at x =0, is not givng me the correct results.also am a bit lost on how to check if a coupled system of pdes is well posed. some hints will be welcome.
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