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Boundary conditions of one domain embedded in another domain

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Hello
I have two domains, one is rectangle(domain 1) and another is ellipsoid void (domain 2) embedded in rectangular domain in 2D axisymmetric. I am doing transport of diluted species. My ICs are that domain 1 has higher concentration than domain 2 and lower diffusivity coefficient. My BCs are that outer boundaries of domain 1 has zero concentration. During time dependent study, concentration in domain 2 increases(that suppose to). My question is what is the BCs of the domain 2 since I did not specify. How do I know that the results are good?
Thank you for any help

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