Total force of the fluid on the sphere in a creeping flow around a sphere

Input(s)

R: Radius (m)(\mathrm{m})

ρ\rho: Density (kg/m3)\left(\mathrm{kg} / \mathrm{m}^{3}\right)

μ\boldsymbol{\mu}: Viscosity (kg/(ms))(\mathrm{kg} /(\mathrm{ms}))

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

vs: Apparent Velocity (m/s)(\mathrm{m} / \mathrm{s})

Output(s)

F: Total Force of Fluid (N)

Formula(s)

F=43πR3ρg+6πμRvsF=\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 .


Related

An unhandled error has occurred. Reload 🗙