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.