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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
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Full-Range Proxy Model
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c(T, p) = \frac{c_0(T,p)}{1+c_0(T,p) \cdot LaTeX Math Block |
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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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| \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) \, p}{1+c_0(T,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) \, p_0}{1 + c_0(T,p) \, p}where
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