Draining of a cylindrical tank
Input(s)
\(\mu\): Fluid Viscosity \((\mathrm{kg} /(\mathrm{ms}))\)
L: Height of the Pipe (m)
H: Height of the Cylindrical Tank (m)
D: Diameter of the Pipe (m)
\(\mathrm{R}\): Radius of the Cylindrical Tank (m)
\(\rho\): Fluid Density \(\left(\mathrm{kg} / \mathrm{m}^{3}\right)\)
g: Gravitational Acceleration \(\left(\mathrm{m} / \mathrm{s}^{2}\right)\)
Output(s)
\(\boldsymbol{t}_{\text {efflux }}\): Efflux Time (s)
Formula(s)
\[
\mathrm{t}_{\text {efflux }}=\frac{128 * \mu * \mathrm{~L} * \mathrm{R}^{2}}{\rho * \mathrm{~g} * \mathrm{D}^{4}} * \ln \left(1+\frac{\mathrm{H}}{\mathrm{L}}\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 7, Page: 228.