I have a query on equation of state for astrophysical fluids. What should be a realistic and appropriate form of the equation of state to describe astrophysical fluids?
It depends on which fluid and what you intend to do with the properties. As we know practically nothing about astrophysical fluids, this must be quite speculative. I started a project with a colleague on extremely high pressure water, but never finished. I have some Russian data for water at very high pressures. The IAPWS-SF95 doesn't cover such elevated pressures, so a new formulation would be required. I could finish that work if you're interested in water.