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Old   October 28, 2013, 05:38
Question Boundary condition at material interface
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Andreas P
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Hi everyone!

I am stuck formulating the correct boundary condition at a material interface in a pure mass transport (diffusion) problem.

I have two domains with different diffusion coefficients. At their interface, I want to ensure both continuity of the concentration profile and of diffusive fluxes:

c_1 = c_2

\mathbf{n}_1 \cdot (D_1 \nabla c_1) = \mathbf{n}_2 \cdot (D_2 \nabla c_2)

Currently I am pretty confused, so I have different questions:
1.) Are these conditions correct (in a physical sense)?
2.) Can I really enforce both at the same time? Wouldn't this result in an overdetermined system?
3.) Or does enforcing one of these automatically result in the other one being fulfilled as well?

Thanks in advance for any help!

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Old   March 11, 2016, 07:08
Thomas Oliveira
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[it is an old discussion, but may be useful for someone]

Hi Andreas,

Shouldn't the conditions be the following?

c_1 = c_2

D_1 \nabla c_1 =D_2 \nabla c_2
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boundary conditions, mass transport, material interface

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