Efflux time for draining a conical tank

Input(s)

z0z_{0}: Vertical Coordinate at the Top of the Cone (m)

z2z_{2}: Vertical Coordinate just Above the Datum Plane for Potential Energy (m)(\mathrm{m})

g: Gravitational Acceleration (m/s2)\left(\mathrm{m} / \mathrm{s}^{2}\right)

Output(s)

tefflux t_{\text {efflux }}: Efflux Time (s)

Formula(s)

tefflux=(15)(z0z2)2(2z0 g)0.5\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.

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