Total force of the fluid on the sphere in a creeping flow around a sphere
Input(s)
R: Radius \((\mathrm{m})\)
\(\rho\): Density \(\left(\mathrm{kg} / \mathrm{m}^{3}\right)\)
\(\boldsymbol{\mu}\): Viscosity \((\mathrm{kg} /(\mathrm{ms}))\)
g: Gravitational Acceleration \(\left(\mathrm{m} / \mathrm{s}^{2}\right)\)
vs: Apparent Velocity \((\mathrm{m} / \mathrm{s})\)
Output(s)
F: Total Force of Fluid (N)
Formula(s)
\[
F=\frac{4}{3} * \pi * R^{3} * \rho * g+6 * \pi * \mu * R * v s
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Page: 60 .