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.