A thin film of an incompressible, Newtonian liquid $\text{(density $\rho$, viscosity $\mu$)}$ with an uniform thickness $(h)$ is flowing down on a vertical plate. The flow is driven by gravity $(g)$ alone. Assume zero shear stress condition at the free surface.
The maximum velocity is given by
- $\frac{1}{2 \mu} \rho g h^{2}$
- $\frac{1}{4 \mu} \rho g h^{2}$
- $\frac{1}{\mu} \rho g h^{2}$
- $\frac{1}{8 \mu} \rho g h^{2}$
