Stability and nonlinear wavy regimes in downward film flows on a corrugated surface
The linear and nonlinear stability of downward viscous film flows on a corrugated surface to freesurface perturbations is analyzed theoretically. The study is performed with the use of an integral approach in ranges of parameters where the calculated results and the corresponding solutions of Navier-Stokes equations (downward wavy flow on a smooth wall and waveless flow along a corrugated surface) are in good agreement. It is demonstrated that, for moderate Reynolds numbers, there is a range of corrugation parameters (amplitude and period) where all linear perturbations of the free surface decay. For high Reynolds numbers, the waveless downward flow is unstable. Various nonlinear wavy regimes induced by varying the corrugation amplitude are determined.
Key wordsviscous film flow corrugated surfaces stability nonlinear wavy regimes
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- 1.W. Nusselt, “Die Oberflächenkondensation des Wasserdampfes,” Z. VDI, 60, 541–546 (1916).Google Scholar
- 2.V. Ya. Shkadov, “Wavy modes of gravity-driven viscous thin-film flow,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 43–51 (1967).Google Scholar
- 3.S. V. Alekseenko, V. E. Nakoryakov, and B. G. Pokusaev, Wavy Liquid Film Flow [in Russian], Nauka, Novosibirsk (1992).Google Scholar
- 6.Yu. Ya. Trifonov, “Biperiodic and quasi-periodic wavy regimes in a liquid film flow down an inclined plane, their stability and bifurcations,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 4, 98–107 (1992).Google Scholar
- 16.J. R. Fair and J. R. Bravo, “Distillation columns containing structure packing,” Chem. Eng. Progr., 86, 19–29 (1990).Google Scholar