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Boundary condition is a PDE, rather than a constant!

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Dear all:

In my model for fluid flow in porous media, I want to set gas pressure as boundary condition at one end of the soil specimen. In the experiment, the gas pressure is applied on the specimen by compressing a certain amount of gas, just like a syringe. At the same time the gas will flow through the specimen following Darcy's law.

According to the condition, I derived a differential equation to solve the gas pressure, but I have no ideas how to applied it on the specimen in Comsol. The equation is like: d(PV)=APv, where P is the gas pressure, V is the gas volume, A is the area of the cross-section of the specimen, v is the Darcy's velocity, which is v=k*grad(P). This seems complicated to apply it on the boundary. If you have any ideas or any experience about such a problem, could you please share them with me? I really appreciate your assistance and time.

Thank you!


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