Barenblatt-Chorin universal velocity distribution

Input(s)

$v *$: Velocity of Fluid $(\mathrm{ft} / \mathrm{s})$

Re: Reynolds Number (ft)

v: Molar Velocity (ft/s)

L: Length (ft)

Output(s)

$v_{x}$: Velocity in X-direction (dimensionless)

Formula(s)

$$ \frac{\mathrm{v}_{\mathrm{x}}}{\mathrm{v}_{*}}=\left(\left(\frac{1}{3^{0.5}}\right) * \ln (\mathrm{Re})+\frac{5}{2}\right) *\left(\left(\mathrm{~L} * \frac{\mathrm{v}_{*}}{\mathrm{v}}\right)^{\frac{3}{2 * \ln (\mathrm{Re})}}\right) $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 5, Page: 161.