Film on an Inclined Plane

Recently, the criterion of nonbreaking film flow was thermodynamically substantiated with the aid of Prigogine s principle of minimum entropy production including the case of a double film flow [88], 

In practice, Qmin can be reduced by wall hydrophilization [54], that is, by treating the surface by alcohol, which decreases the wetting angle. 

These assumptions result in the one-dimensional velocity and pressure profiles V = V(Y) and P - P(Y), where Y is the coordinate measured along the normal to the film surface. The corresponding hydrodynamic equations of thin films express the balance of viscous and gravity forces [41,441]  

The volume rate of flow per unit width is given by the formula 

The mean flow rate velocity (V) is equal to 2/3 of the maximum velocity, 

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Figure 1.3. Steady waveless laminar flow in thin film on an inclined plane...

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