Maximum velocity of a falling film

Input(s)

ρ\rho: Density (kg/m3)\left(\mathrm{kg} / \mathrm{m}^{3}\right)

g: Gravitational Acceleration (m/s2)\left(\mathrm{m} / \mathrm{s}^{2}\right)

δ\delta: Film Thickness (m)

β\beta: Angle of Inclination w.r.t. Direction of Gravity (rad)

μ\mu: Viscosity (kg/(ms))(\mathrm{kg} /(\mathrm{ms}))

Output(s)

Vzmax V_{\text {zmax }}: Maximum Velocity (m/s)(\mathrm{m} / \mathrm{s})

Formula(s)

Vzmax=ρ g(δ2)cos(β)2μ\mathrm{V}_{\mathrm{zmax}}=\frac{\rho * \mathrm{~g} *\left(\delta^{2}\right) * \cos (\beta)}{2 * \mu}

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 2, Page: 45.


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