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heat equation through different media/problem with constant flux at

• To: mathgroup at smc.vnet.net
• Subject: [mg87787] heat equation through different media/problem with constant flux at
• From: Luigi B <L.Balzano at gmail.com>
• Date: Wed, 16 Apr 2008 22:33:59 -0400 (EDT)

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
with my own grid. The code (without the 'tedious' definition of the
time dependent boundary conditions) is:

\!\(NDSolve[{$B"_(B\_t u[x,
    t] == alfa[x]*$B"_(B\_{x, 2}u[x, t], u[
        x, 0] == TavSInt[0] + \(TavRInt[0] - TavSInt[0]\)\/L*
      x, u[0, t] == TavSInt[
        t], \([L, t]\) == TavRInt[
          t]}, u, {x, 0, L}, {t, 0, tmax}, MaxSteps -> 50000, Method -
> \
{"\<MethodOfLines\>", \ "\<SpatialDiscretization\>" -> {\ \
"\<TensorProductGrid\>", "\<Coordinates\>" -> {mygrid}}}]\)


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?

Thanks
Luigi

• Follow-Ups:
  • Re: heat equation through different media/problem with constant flux at
    • From: "W_Craig Carter" <ccarter@mit.edu>