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Incompressible fluid | Compressible fluid |
Full-Range Proxy Model |
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| Slightly compressible fluid | Strongly Compressible Fluid |
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| Real Gas | 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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... |
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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(T) \cdot (p-p_0) \right] |
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... |
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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(T) \, p}{1+c_0(T) \, 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(T) \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(T) \, p_0}{1 + c_0(T) \, p} |
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where
See also
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Physics / Mechanics / Continuum mechanics / Fluid Mechanics / Fluid Statics / Fluid Compressibility
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