Modeling film flows down inclined planes
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A new model of film flow down an inclined plane is derived by a method combining results of the classical long wavelength expansion to a weighted-residuals technique. It can be expressed as a set of three coupled evolution equations for three slowly varying fields, the thickness h, the flow-rate q, and a new variable Ƭ that measures the departure of the wall shear from the shear predicted by a parabolic velocity profile. Results of a preliminary study are in good agreement with theoretical asymptotic properties close to the instability threshold, laboratory experiments beyond threshold and numerical simulations of the full Navier-Stokes equations.
- Modeling film flows down inclined planes
The European Physical Journal B - Condensed Matter and Complex Systems
Volume 6, Issue 2 , pp 277-292
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- EDP Sciences
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- PACS. 47.20M Interfacial instability - 47.20K Nonlinearity
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