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Solving steady-state two-phase creeping flow

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Hi,

I am trying to simulate steady-state two-phase flow of air and water in a conduit which has an air water interface. The flow is pressure gradient driven and is steady and uniform. At the air water interface, the velocity as well as shear stress should be continuous but the pressure should be discontinuous. I tried simulating the flow giving two creep flow in air as well as water domain. But the obtained velocity profile was not uniform throughout. And the pressure at the interface was continuous. I also tried simulating the flow by giving a single creep flow with different fluid properties at the air and water domain. Still the result was same. Requesting you to please help me in giving the above boundary conditions at the air-water interface so as to get the correct result. Thanks.


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