Re: heat equation through different media/problem with constant flux
- To: mathgroup at smc.vnet.net
- Subject: [mg87847] Re: heat equation through different media/problem with constant flux
- From: Luigi B <L.Balzano at gmail.com>
- Date: Fri, 18 Apr 2008 07:10:49 -0400 (EDT)
- References: <200804170233.WAA21115@smc.vnet.net> <fu7aia$eus$1@smc.vnet.net>
On Apr 17, 12:59 pm, "W_Craig Carter" <ccar... at mit.edu> wrote: > 2008/4/16 Luigi B <L.Balz... 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 medi= a > > 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. Yes, but how to do this? Do you have an example? Luigi > -- > 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