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- W3100293313 abstract "A thin liquid film falling on a uniformly heated horizontal plate spreads into fingering ripples that can display a complex dynamics ranging from continuous waves, nonlinear spatially localized periodic wave patterns (i.e., rivulet structures) to modulated nonlinear wavetrain structures. Some of these structures have been observed experimentally; however, conditions under which they form are still not well understood. In this work, we examine profiles of nonlinear wave patterns formed by a thin liquid film falling on a uniformly heated horizontal plate. For this purpose, the Benney model is considered assuming a uniform temperature distribution along the film propagation on the horizontal surface. It is shown that for strong surface tension but a relatively small Biot number, spatially localized periodic-wave structures can be analytically obtained by solving the governing equation under appropriate conditions. In the regime of weak nonlinearity, a multiple-scale expansion combined with the reductive perturbation method leads to a complex Ginzburg-Landau equation: the solutions of which are modulated periodic pulse trains which amplitude and width and period are expressed in terms of characteristic parameters of the model." @default.
- W3100293313 created "2020-11-23" @default.
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- W3100293313 date "2018-05-01" @default.
- W3100293313 modified "2023-09-26" @default.
- W3100293313 title "Nonlinear periodic wavetrains in thin liquid films falling on a uniformly heated horizontal plate" @default.
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- W3100293313 doi "https://doi.org/10.1063/1.5027370" @default.
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