Long nonlinear waves in fluid flows
Web1 de mai. de 2013 · Surface and interfacial weakly-nonlinear ring waves in a two-layer fluid are modelled numerically, within the framework of the recently derived 2 + 1-dimensional … WebSci-Hub Long Non-Linear Waves in Fluid Flows. Journal of Mathematics and Physics, 45 (1-4), 52–63 10.1002/sapm196645152. Benney, D. J. (1966). Long Non-Linear Waves …
Long nonlinear waves in fluid flows
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WebThe fractional solitons have demonstrated many new phenomena, which cannot be explained by the traditional solitary wave theory. This paper studies some famous fractional wave equations including the fractional KdV–Burgers equation and the fractional approximate long water wave equation by a modified tanh-function method. The solving … WebShareable Link. Use the link below to share a full-text version of this article with your friends and colleagues. Learn more.
Web6 de abr. de 2024 · In addition, there have been many attempts to model the morning-glory phenomenon based on existing nonlinear wave equations, such as the Korteweg–de Vries or Benjamin–Ono equations—see [21,22] for a discussion of geophysical flows for which these equations have been adopted as the phenomenological model of choice. WebWe propose a mathematical model describing the mixing and propagation of nonlinear long waves in a shear three-layer flow of a stratified fluid under a lid. The shallow water …
Web7 de jan. de 2024 · David J. Benney (1930–2015) was an applied mathematician and fluid dynamicist whose highly original work has shaped our understanding of nonlinear wave and instability processes in fluid flows. WebThe surface fluid flows coupled with porous media flows in substrates occur in many circumstances in industry and natural settings. In this paper, we investigate the long wave solutions for the surface flows on inclined porous media. The important feature is that such flows are derived by the Navier-Stokes equations governing the clear flows in the …
WebThe influences of basic stratification and shear to the nonlinear, dispersive, and non-Boussinesq effects are found. Numerical solutions to this KdV-type equation for a variety of different conditions are then presented to demonstrate the relative importance of nonlinearity and dispersion on the generation of large amplitude internal waves in the breakdown of …
WebAbout this book. This volume offers an overview of the area of waves in fluids and the role they play in the mathematical analysis and numerical simulation of fluid flows. Based on lectures given at the summer school “Waves in Flows”, held in Prague from August 27-31, 2024, chapters are written by renowned experts in their respective fields. microsoft visual c++ runtime soft98WebSimon P. Neill, M. Reza Hashemi, in Fundamentals of Ocean Renewable Energy, 2024 Nonlinear Wave-Wave Interactions. Nonlinear wave-wave interactions redistribute … news from harwich essex todayWeb4 de jun. de 2016 · The study of waves can be traced back to antiquity where philosophers, such as Pythagoras (c. 560-480 BC), studied the relation of pitch and length of string in … microsoft visual c++ redistribution有什么用Web18 de fev. de 2011 · We then analyse the liquid film flow under the influence of these perturbations and derive a hierarchy of model equations describing the dynamics of the … microsoft visual c++ runtime library エラーWebBoth solitary waves of elevation and depression are shown to exist, even for the same flow, depending on the Richardson number. The results suggest a qualitative difference in … news from harry and meghanWebEvolution equations for long, nonlinear internal waves are derived when the basic stratified shear flow has a slow temporal and spatial variation as well as the usual dependence on the vertical coordinate. ... while in the deep fluid case the evolution equation is a variable coefficient Benjamin-Davis-Ono equation. news from gujarat indiaWeb5 de jul. de 2024 · We propose a mathematical model describing the mixing and propagation of nonlinear long waves in a shear three-layer flow of a stratified fluid under a lid. The shallow water equations describe the fluid flow in the outer almost potential homogeneous layers. In the intermediate mixing layer, the fluid is inhomogeneous and its flow is … microsoft visual c++ runtime free download