@wikipedia
Synonyms: Compressibility Z-factor = Z-factor
Dimensionless multiplier in real gas equation of state which describes the deviation of a real gas from ideal gas behaviour:
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Z = \frac{p V}{\nu \, R \, T} = \frac{p}{\rho} \cdot \frac{M}{R \, T} |
where
It is related to fluid compressibility
as:
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| c(p) = \frac{1}{p} - \frac{1}{Z} \frac{dZ}{dp} |
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| Z(p) = \frac{Z_0}{p_0} \cdot p \cdot \exp \left[ - \int_{p_0}^p c(p) dp \right] |
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| Expand |
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| c = - \frac{1}{V} \frac{dV}{dp} = - \frac{d}{dp} \left( \ln V \right) \rightarrow \ln \frac{V}{V_0} = - \int_{p_0}^p c(p) dp |
Substituting from | LaTeX Math Block Reference |
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into | LaTeX Math Block Reference |
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one arrives to | LaTeX Math Block Reference |
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. |
The Z-factor value is trending towards
for incompressible fluids and | LaTeX Math Inline |
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| body | Z \rightarrow a \cdot p |
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for strongly compressible Fluids.
See also
Natural Science / Physics / Thermodynamics / Equation of State
[ Fluid Compressibility ][ Gas compressibility ]
References
