Finite-amplitude internal solitary waves in a shear flow of a two-layer fluid

IF 0.7 Q4 THERMODYNAMICS Interfacial Phenomena and Heat Transfer Pub Date : 2023-01-01 DOI:10.1615/interfacphenomheattransfer.2023049751

Viktoriia Ermishina, Alexander Chesnokov

引用次数: 0

Abstract

We consider a nonlinear system of equations that describes the propagation of finite-amplitude internal waves in a two-layer stratified shallow water under a cover in the Boussinesq approximation. Within the framework of this model, we study solitary waves taking into account the non-hydrostatic pressure distribution in one or both layers, and also consider the case of weakly nonlinear waves. In the class of traveling waves, this model is reduced to an ordinary differential equation for determining the profile of a solitary wave in a shear flow. This equation admits an analytical study. The conditions for the existence of solitary waves adjacent to a given constant flow are determined by two dimensionless parameters related to the wave speed and the velocity shear of the undisturbed flow. Examples of solitary waves are given. These examples demonstrate the effects of the velocity shear on the waveform.

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两层流体剪切流动中的有限振幅内孤立波

我们考虑了一个非线性方程组，它描述了有限振幅内波在覆盖下的两层分层浅水中的传播。在该模型的框架内，我们研究了考虑一层或两层非静水压力分布的孤立波，并考虑了弱非线性波的情况。在行波类中，该模型可简化为确定剪切流中孤波剖面的常微分方程。这个方程可以进行分析研究。在给定的恒定流附近存在孤立波的条件是由与无扰动流的波速和速度剪切有关的两个无量纲参数决定的。给出了孤立波的例子。这些例子说明了速度剪切对波形的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Interfacial Phenomena and Heat Transfer THERMODYNAMICS-

CiteScore

1.70

自引率

40.00%

发文量

期刊介绍： Interfacial Phenomena and Heat Transfer aims to serve as a forum to advance understanding of fundamental and applied areas on interfacial phenomena, fluid flow, and heat transfer through interdisciplinary research. The special feature of the Journal is to highlight multi-scale phenomena involved in physical and/or chemical behaviors in the context of both classical and new unsolved problems of thermal physics, fluid mechanics, and interfacial phenomena. This goal is fulfilled by publishing novel research on experimental, theoretical and computational methods, assigning priority to comprehensive works covering at least two of the above three approaches. The scope of the Journal covers interdisciplinary areas of physics of fluids, heat and mass transfer, physical chemistry and engineering in macro-, meso-, micro-, and nano-scale. As such review papers, full-length articles and short communications are sought on the following areas: intense heat and mass transfer systems; flows in channels and complex fluid systems; physics of contact line, wetting and thermocapillary flows; instabilities and flow patterns; two-phase systems behavior including films, drops, rivulets, spray, jets, and bubbles; phase change phenomena such as boiling, evaporation, condensation and solidification; multi-scaled textured, soft or heterogeneous surfaces; and gravity dependent phenomena, e.g. processes in micro- and hyper-gravity. The Journal may also consider significant contributions related to the development of innovative experimental techniques, and instrumentation demonstrating advancement of science in the focus areas of this journal.