Modified Van Driest equation

Input(s)

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

$V_{m}$: Friction Velocity $(\mathrm{ft} / \mathrm{s})$

$y$: Length $(\mathrm{ft})$

Output(s)

L: Mixing Length (ft)

Formula(s)

$$ \mathrm{L}=0.4 * \mathrm{y} *\left(\frac{1-\left(-\mathrm{y} * \frac{\mathrm{v}}{26} * \mathrm{~V}_{\mathrm{m}}\right)}{\left(1-\left(-0.26 * \mathrm{y} * \frac{\mathrm{v}}{\mathrm{V}_{\mathrm{m}}}\right)\right)^{0.5}}\right) $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 5, Page: 164.