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Re: heat equation through different media/problem with constant flux at
*To*: mathgroup at smc.vnet.net
*Subject*: [mg87799] Re: [mg87787] heat equation through different media/problem with constant flux at
*From*: "W_Craig Carter" <ccarter at mit.edu>
*Date*: Thu, 17 Apr 2008 06:57:37 -0400 (EDT)
*References*: <200804170233.WAA21115@smc.vnet.net>
2008/4/16 Luigi B <L.Balzano at gmail.com>:
> Dear All,
> I am trying to solve the heat conduction problem in a sequence of
> three media with different properties. For that I am using NDSolve
> However, i still do not get a satisfactory result. Probably because I
> am not including the condition that at the interface between two media
> the heat flux is constant. How can I do this?
I suspect your hypothesis is correct. I've never tried including a a
constant flux condition (kleft D[u[x],x]/.x->a == kright
D[u[x],x]/.x->a) into NDSolve. I'll be interested
to see if someone has a method.
But, why not solve the equations in each of the three domains using
DSolve, and then enforce continuity of u and continuity of flux with
Solve to determine the solution symboilicaly. If the thermal
conductivity is uniform in each sublayer, this should be fairly
straightforward---I think you'll end up matching Fourier coefficients
at the interfaces.
--
W. Craig Carter
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