Terminal velocity in a separator

Input(s)

g: Acceleration Due to Gravity (ft/s2)\left(\mathrm{ft} / \mathrm{s}^{2}\right)

Dp\mathrm{D}_{\mathrm{p}}: Particle Diameter (ft)(\mathrm{ft})

N\mathrm{N}: Drag Coefficient (fraction)

ρp\rho_{\mathrm{p}}: Particle Density (g/cc)(\mathrm{g} / \mathrm{cc})

ρf\rho_{\mathrm{f}}: Fluid Density (g/cc)(\mathrm{g} / \mathrm{cc})

A: Flow Regime Constant (dimensionless) (dimensionless)

μ\mu: Viscosity (cP)(\mathrm{cP})

Output(s)

vtv_{t}: Terminal Velocity of a Particle falling through a fluid by the pull of Gravity (ft/s)(\mathrm{ft} / \mathrm{s})

Formula(s)

vt=(4 g(DpN+1)(ρpρf)3 A(μN)(ρf1N))12N\mathrm{v}_{\mathrm{t}}=\left(\frac{4 * \mathrm{~g} *\left(\mathrm{D}_{\mathrm{p}}^{\mathrm{N}+1}\right) *\left(\rho_{\mathrm{p}}-\rho_{\mathrm{f}}\right)}{3 * \mathrm{~A} *\left(\mu^{\mathrm{N}}\right) *\left(\rho_{\mathrm{f}}^{1-\mathrm{N}}\right)}\right)^{\frac{1}{2-\mathrm{N}}}

Reference(s)

John M. Campbell, Gas Conditioning and Processing, Campbell Petroleum Series, Oklahoma, 1992, Vol. 2, Page: 71 .


Related

An unhandled error has occurred. Reload 🗙