Flow of power law fluid through a narrow slit
Input(s)
W: Width \((\mathrm{cm})\)
B: Breadth \((\mathrm{cm})\)
L: Length \((\mathrm{cm})\)
\(\rho\): Density of Fluid \((\mathrm{g} / \mathrm{cc})\)
\(\boldsymbol{P}_{\boldsymbol{O}}\): Input Pressure \((\mathrm{Pa})\)
\(\boldsymbol{P}_{\boldsymbol{L}}\): Output Pressure \((\mathrm{Pa})\)
\(\mathrm{m}\): Power Law Constant (dimensionless)
n: Power Law Constant 2 (dimensionless)
Output(s)
w: Mass Rate of Flow \((\mathrm{g} / \mathrm{s})\)
Formula(s)
\[
\mathrm{w}=\left(\frac{2 * \mathrm{~W} *\left(\mathrm{~B}^{2}\right) * \rho}{\left(\frac{1}{\mathrm{n}}\right)+2}\right) *\left(\left(\frac{\left(\mathrm{P}_{\mathrm{O}}-\mathrm{P}_{\mathrm{L}}\right) * \mathrm{~B}}{\mathrm{~m} * \mathrm{~L}}\right)^{\frac{1}{\mathrm{n}}}\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 8, Page: 243 .