Hagen-Poiseuille equation (2)

Input(s)

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

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

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

w: Mass rate of Flow (lb/s)

ρ\boldsymbol{\rho}: Density (ppg)

L: Length (ft)

Output(s)

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

Formula(s)

μ=(PoPL)π(R4)ρ8 W L\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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