On the cooling of a free thin film at the presence of the van der waals forces

The cooling of a hot free thin viscous film attached to a rectangular colder frame is considered. The film is under the action of capillary and van der Waals forces and is symmetric with respect to a middle plane. The one@dimensional case of the corresponding non‐stationary nonlinear thermo‐dynamic problem is solved numerically by a finite difference scheme. The numerical results for the film shape, longitudinal velocity and temperature are obtained for different Reynolds numbers, dimensionless Hamaker constants and radiation numbers.

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