Compressible Liquids

Compressible liquids whose density depends on pressure and temperature can be considered within the following approximations:
  • obeying the logarithmic law:



    (1)

    where ρ0 is the liquid's density under the reference pressure P0, C, B are coefficients, here ρ0, C, and B can depend on temperature, P is the calculated pressure;

  • obeying the power law:



    (2)

    where, in addition to the above-mentioned designations, n is a power index which can be temperature dependent.

Also if the liquid dynamic viscosity depends on pressure, it can be considered within the following approximation:



(3)

where, in addition to the above-mentioned designations, μ0 is the liquid’s dynamic viscosity under the reference pressure P0, a is a coefficient which can be temperature dependent and P' = 105 Pa is a constant.