Modified Van Driest equation

Input(s)

vv: Velocity (ft/s)(\mathrm{ft} / \mathrm{s})

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

yy: Length (ft)(\mathrm{ft})

Output(s)

L: Mixing Length (ft)

Formula(s)

L=0.4y(1(yv26 Vm)(1(0.26yvVm))0.5)\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.


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