Compressibility of the fluid with density
\rho and molar volume
V_m as a function of temperature
T and pressure
p:
(1) | c(T,p) = \frac{1}{\rho} \left( \frac{\partial \rho}{\partial p} \right)_T = - \frac{1}{V_m} \left( \frac{\partial V_m}{\partial p} \right)_T |
There is no universal ffull-range analytical model for Fluid Compressibility but there is a good number of approximations which can be effectively used in engineering practice.
Approximations
Incompressible fluid | Compressible fluid | Full-Range Proxy Model | ||||||||||
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Slightly compressible fluid | Strongly Compressible Fluid | |||||||||||
Real Gas | Ideal Gas | |||||||||||
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where
Mathematical models of Fluid Compressibility are reviewed in Fluid Compressibility @model.
The multi-phase fluid compressibility is a linear sum of compressibilities of its phases (see multi-phase fluid compressibility @ model).
See also
Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Statics
[Compressibility] [ Z-factor ]
[Multi-phase compressibility @model] [ Fluid Compressibility @model ]
[ Incompressible fluid ] [ Slightly Compressible Fluid ] [ Strongly Compressible Fluid ] [ Ideal Gas ]