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compressible navier stokes coefficient form pde
Posted Feb 28, 2013, 6:59 p.m. EST 0 Replies
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I am trying to study the interaction of acoustic wave on a fluid. For this I model the compressible navier stokes equation using the coefficient form pde.....I have added two pde (physics) - one for the u and v momentum equations and the other one with dependent variable as rho (density).....
Now to close the system of equations I need to add an equation of state which relates pressure to density by p=co^2*rho where co is the acoustic wave speed in the fluid.........
But I am not sure, as to how I can input the equation of state....should I add another pde with pressure p as the dependent variable? or can I just replace the pressure term px or py appearing in the momentum equation with co^2*rho?
If someone could help me with this, it would really helpful....
Regards,
Rahul
Hello Rahul Kishor
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