Draining of a spherical tank

Input(s)

R: Radius of the Sphere (m)(m)

L: Length of the Pipe (m)(m)

A: A Constant Related to Length, Radius, and Height (m2/s)\left(\mathrm{m}^{2} / \mathrm{s}\right)

Output(s)

tefflux \boldsymbol{t}_{\text {efflux }}: Efflux Time (s)

Formula(s)

tefflux =(L2 A)((2RL(1+RL)(1+2RL)ln(1+2RL)))\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.


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