@wikipedia
Fluid Compressibility is a function of temperature and pressure :
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c = c(T, p) |
The multi-phase fluid compressibility is a linear sum of compressibilities of its phases (see multi-phase fluid compressibility @ model).
There is no universal 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 Compressibility Proxy Model |
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| Slightly compressible fluid | Ideal Gas |
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| c(T, p) = 0 |
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| c(T, p) = c_0 = \rm const |
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| c(T, p) = \frac{1}{p} |
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| c(T, p) = \frac{c_0(T)}{1+c_0(T) \cdot p} |
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| \rho(T, p) = \rho_0(T) |
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| \rho(T, p) = \rho_0 \cdot \exp \left[ c_0 \cdot (p-p_0) \right] |
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| \rho(T, p) = \frac{\rho_0(T)}{p_0} \cdot p |
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| \rho(T, p) = \rho_0(T) \cdot \frac{1+c_0 \, p}{1+c_0 \, p_0} |
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| Z(T, p) = \frac{p}{p_0} |
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| Z(T, p) =\frac{p}{p_0}\cdot \exp \left[ - c_0 \cdot (p-p_0) \right] |
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| Z(T, p) = 1 |
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| Z(T, p) = \frac{p}{p_0} \cdot \frac{1+c_0 \, p_0}{1 + c_0 \, p} |
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See also
Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Statics / Fluid Compressibility
[Compressibility] [Multi-phase compressibility @model]
