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Boundary condition for compressible flow ( cavity lid problem)

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Old   May 3, 2012, 00:50
Default Boundary condition for compressible flow ( cavity lid problem)
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pawan goyal
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Hey all
I have been working on CFD modelling for compressible flow. I have flour parameters at each node ( density,velocity in x& y direction,temperature). I have taken advantage of ideal gas low. I have assumed isothermal wall. So i have boundary condition for velocities, temperature but I could not derived the boundary condition for density. Could anyone please let me know the derivation for boundary condition for density.

Thanks in advance and looking forward for reply.

Regards
Pawan Goyal
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Old   June 2, 2012, 16:58
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Rahul Verma
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Quote:
Originally Posted by pike@91 View Post
Hey all
I have been working on CFD modelling for compressible flow. I have flour parameters at each node ( density,velocity in x& y direction,temperature). I have taken advantage of ideal gas low. I have assumed isothermal wall. So i have boundary condition for velocities, temperature but I could not derived the boundary condition for density. Could anyone please let me know the derivation for boundary condition for density.

Thanks in advance and looking forward for reply.

Regards
Pawan Goyal
Hey pawan i am also working in compressible area. I have solved two dimensional shock tube problems with implicit scheme and i took full navier stokes equation as governing equation. you can use neumann boundary condition for boundary or you can extrapolate boundary density from nearest density value. Both thing will work.

I have one question for you. do you have any journal paper in which this lid cavity problem has been solved for compressible case.
I solved this lid driven cavity problem for incompressible case and it is perfectly working. But i am not sure about any benchmark or any paper for compressible cavity problem.
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Old   June 2, 2012, 17:04
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Filippo Maria Denaro
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Quote:
Originally Posted by pike@91 View Post
Hey all
I have been working on CFD modelling for compressible flow. I have flour parameters at each node ( density,velocity in x& y direction,temperature). I have taken advantage of ideal gas low. I have assumed isothermal wall. So i have boundary condition for velocities, temperature but I could not derived the boundary condition for density. Could anyone please let me know the derivation for boundary condition for density.

Thanks in advance and looking forward for reply.

Regards
Pawan Goyal

you can try solving the continuity equation on the wall-node, of course considering the bc.s for the velocity field
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