Hagen-Poiseuille equation (2)

Input(s)

\(\boldsymbol{P}_{\boldsymbol{o}}\): Input Pressure (psi)

\(\boldsymbol{P}_{\boldsymbol{L}}\): Output Pressure (psi)

\(\mathrm{R}\): Radius \((\mathrm{ft})\)

w: Mass rate of Flow (lb/s)

\(\boldsymbol{\rho}\): Density (ppg)

L: Length (ft)

Output(s)

\(\boldsymbol{\mu}\): Viscosity \((\mathrm{cP})\)

Formula(s)

\[ \mu=\frac{\left(\mathrm{P}_{\mathrm{o}}-\mathrm{P}_{\mathrm{L}}\right) * \pi *\left(\mathrm{R}^{4}\right) * \rho}{8 * \mathrm{~W} * \mathrm{~L}} \]

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 2, Page: 51 .

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