In the most general case (both reservoir and pipelines) the fluid velocity is proportional to a function of pressure and pressure gradient and can be written as: | LaTeX Math Block |
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| {\bf u}(t, {\bf r})= - MF({\bf r}, p, \nabla p) \nabla p |
with right side not dependent on time in stationary flow: | LaTeX Math Block |
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| \frac{\partial {\bf u}(t, {\bf r})}{\partial t}= 0 |
which leads to | LaTeX Math Block Reference |
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