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
- References:
- heat equation through different media/problem with constant flux at
- From: Luigi B <L.Balzano@gmail.com>
- heat equation through different media/problem with constant flux at