Draining of a spherical tank
Input(s)
R: Radius of the Sphere \((m)\)
L: Length of the Pipe \((m)\)
A: A Constant Related to Length, Radius, and Height \(\left(\mathrm{m}^{2} / \mathrm{s}\right)\)
Output(s)
\(\boldsymbol{t}_{\text {efflux }}\): Efflux Time (s)
Formula(s)
\[
\mathrm{t}_{\text {efflux }}=\left(\frac{\mathrm{L}^{2}}{\mathrm{~A}}\right) *\left(\left(2 * \frac{\mathrm{R}}{\mathrm{L}} *\left(1+\frac{\mathrm{R}}{\mathrm{L}}\right)-\left(1+2 * \frac{\mathrm{R}}{\mathrm{L}}\right) * \ln \left(1+2 * \frac{\mathrm{R}}{\mathrm{L}}\right)\right)\right)
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 7, Page: 200.