Abstract
The interaction patterns between doubly excited pulse waves on thin liquid films flowing down an inclined plane are studied both experimentally and numerically. The effect of varying the film flow rate, interpulse interval, and substrate inclination angle on the pulse interaction patterns is examined. Our results show that different interaction patterns exist for these binary pulses, which include solitary wave behavior, partial or complete pulse coalescence, and pulse noncoalescence. A regime map of these patterns is plotted for each inclination angle examined, parametrized by the film Reynolds number and interpulse interval. Finally, the individual effect of the system parameters mentioned above on the coalescence distance of binary pulses in the "complete pulse coalescence" mode is studied; the results are compared to numerical simulations of the two-dimensional Navier-Stokes equations yielding good agreement.
Highlights
Thin flowing films play a key role in the design and efficient maintenance of many types of process equipment in industry
Our results show that different interaction patterns exist for these binary pulses, which include solitary wave behavior, partial or complete pulse coalescence, and pulse noncoalescence
An in-depth analysis of the effect of film flow rate, interpulse interval, and substrate inclination angle on the merging distance of these binary pulses is provided for the “coalescence” mode
Summary
Thin flowing films play a key role in the design and efficient maintenance of many types of process equipment in industry. These include reactors, condensers, cooling systems, distillation towers, etc. Their application is seen in the intensification of both heat and mass transfer at the film interface and wall [2,3]. Other fields of application include nanofluidics, microfluidics, coating flows, lava flows, dynamics of continental ice sheets, tear-film rupture, and surfactant replacement therapy; this demonstrates that their importance is limited to engineering settings, and extends to cover geophysics, as well as biophysics [4]. We focus our attention on the dynamics of forced, thin films, flowing down an inclined plane with significant inertia
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