Nonlinear waves in a rivulet falling down a vertical plate

被引：1
|
作者：
Aktershev, S. P. [1 ,2 ,3 ]
Alekseenko, S. V. [1 ,2 ]
机构：
[1] Kutateladze Inst Thermophys SB RAS, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
[3] Kutateladze Inst Thermophys SB RAS, Novosibirsk 630090, Russia
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2023年 / 156卷
基金：
俄罗斯科学基金会;
关键词：
Rivulet flow; Stationary traveling nonlinear waves; Theoretical model; Spatial development of forced waves; MOVING CONTACT LINES; OUTER SURFACE; FLOW; FILM; INSTABILITIES; STABILITY; DYNAMICS; DRIVEN; SHEAR;
D O I：
10.1016/j.ijnonlinmec.2023.104479
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Nonlinear waves in a rectilinear rivulet flowing down a vertical plate are studied based on the developed theoretical model. The model equations are derived by the weighted residual method through projecting the Navier-Stokes equations onto the constructed system of basic orthogonal polynomials. Stability of the rivulet flow is analyzed and dispersion dependences for linear waves are obtained. Nonlinear wave regimes of a rivulet flow are numerically studied within the framework of two different problems, namely, the problem of stationary traveling waves with a given wavelength and the problem of spatial development of forced waves with a given frequency. Characteristics of nonlinear quasi-two-dimensional stationary traveling waves are obtained, and spatial development of forced waves is studied. Waves of various families are identified. It is shown that in a certain narrow range of excitation frequency, there are no stationary traveling waves, but a pulsating regime of flow occurs.
引用
收藏
页数：12
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