Modeling internal waves in a two-layer fluid flow
نویسندگان
چکیده
This study presents mathematical model of the internal waves and examines wave propagation in a two-layer fluid flow. Elements functional-analytical approach are used to develop model. A flat unsteady motion liquid under cover over bottom is considered. The assumed be ideal incompressible. Internal caused by external pressure application interface between layers, oscillation disturbances power source characterized dimensionless parameter ε. problem formulated, its solution based on asymptotic analysis for 0<ε<1.
منابع مشابه
Large-amplitude internal solitary waves in a two-fluid model
We compute solitary wave solutions of a Hamiltonian model for large-amplitude long internal waves in a two-layer stratification. Computations are performed for values of the density and depth ratios close to oceanic conditions, and comparisons are made with solutions of both weakly and fully nonlinear models. It is shown that characteristic features of highly nonlinear solitary waves such as br...
متن کاملScattering of oblique waves in a two-layer fluid
Abstract We consider problems based on linear water wave theory concerning the interaction of oblique waves with horizontal cylinders in a fluid consisting of a layer of finite depth bounded above by a free surface and below by an infinite layer of fluid of greater density. For such a situation time-harmonic waves can propagate with two different wavenumbers K and k. The particular problems of ...
متن کاملTwo-fluid Electrokinetic Flow in a Circular Microchannel (RESEARCH NOTE)
The two-fluid flow is produced by the combined effects of electroosmotic force in a conducting liquid and pressure gradient force in a non-conducting liquid. The Poisson-Boltzmann and Navier-Stokes equations are solved analytically; and the effects of governing parameters are examined. Poiseuille number increases with increasing the parameters involved. In the absence of pressure gradient, the ...
متن کاملAsymptotic Shallow Water Models for Internal Waves in a Two-Fluid System with a Free Surface
In this paper, we derive asymptotic models for the propagation of two and three-dimensional gravity waves at the free surface and the interface between two layers of immiscible fluids of different densities, over an uneven bottom. We assume the thickness of the upper and lower fluids to be of comparable size, and small compared to the characteristic wavelength of the system (shallow water regim...
متن کاملInternal waves in a three-layer bubbly waveguide
In many oceanic situations, clouds, or layers of bubbles are present which may influence the larger-scale dynamics. A two-dimensional model of a diluted locally monodisperse mixture of an incompressible fluid with gas bubbles is used to model and study such situations. The problem is simplified by ignoring the horizontal variability in the structure of the bubble layer and by focusing instead o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: E3S web of conferences
سال: 2021
ISSN: ['2555-0403', '2267-1242']
DOI: https://doi.org/10.1051/e3sconf/202128801027