Viscous flow¶

Volume flux density of the viscous flow \(q_{vf}\) (\(m\) \(s^{-1}\))

\[q_{vf}(F, L_c)=\frac{g}{3 \eta} L_c F^3\]

where \(F_{vf}\) is the film thickness of the viscous flow (m), \(L_c\) is the length of the film contact (\(m^2 \)), \(g\) is the the acceleration of gravity (\(m\) \(s^{-s}\)) and \(\eta\) is the kinematic viscosity of water.