changes.mady.by.user Arthur Aslanyan (Nafta College)
Saved on Nov 10, 2019
Saved on Jan 10, 2021
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The total multiphase volume:
V_f = \sum V_\alpha
where
The volume fraction of individual phase is defined as:
s_\alpha = \frac{V_\alpha}{V_f}
This leads to:
c_f = \frac{1}{V_f} \, \frac{\partial V_f}{\partial p} = \frac{1}{V_f} \sum_\alpha \frac{\partial V_\alpha}{\partial p} = \sum_\alpha \frac{V_\alpha}{V_f} \, \frac{1}{V_\alpha} \frac{\partial V_\alpha}{\partial p} = \sum_\alpha s_\alpha \, c_\alpha