Efflux time for draining a conical tank
Input(s)
\(z_{0}\): Vertical Coordinate at the Top of the Cone (m)
\(z_{2}\): Vertical Coordinate just Above the Datum Plane for Potential Energy \((\mathrm{m})\)
g: Gravitational Acceleration \(\left(\mathrm{m} / \mathrm{s}^{2}\right)\)
Output(s)
\(t_{\text {efflux }}\): Efflux Time (s)
Formula(s)
\[
\mathrm{t}_{\mathrm{efflux}}=\left(\frac{1}{5}\right) *\left(\frac{\mathrm{z}_{0}}{\mathrm{z}_{2}}\right)^{2} *\left(2 * \frac{\mathrm{z}_{0}}{\mathrm{~g}}\right)^{0.5}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 7, Page: 229.