In this chapter, water is assumed to be an inviscid, incompressible fluid. Body force is the earth's gravity. From section 2.1.2, the conservation of mass and momentum yields {fy(3.1.1)|54-1} {fy(3.1.2)|54-1} {fy(3.1.3)|54-1} {fy(3.1.4)|54-1} These equations are valid ...
The water is modeled as an inviscid and incompressible fluid with constant density (set to be 1). Assuming that the flow is two-dimensional, the equations of motion are the Euler equations ut+uux+vuy=−Px,vt+uvx+vvy=−Py−g,ux+vy=0,}−d<y<η(t,x), (1.1a) where u ...
They describe the behaviour of a shallow homogeneous incompressible and inviscid fluid layer, and present the major difficulties found in the horizontal aspects of three-dimensional global atmospheric modelling. The SWEs on the sphere can be written in the flux form of (39)ht+∇⋅(hu)=0,...
In this study, we use potential theory to evaluate the effects of compressibility, elasticity and gravity on the calculated phase speed of tsunami. More specifically, water is treated as an inviscid, barotropic fluid with constant sound speed, \({c}_{l}\), and fluid motion is assumed to be...
The wave scattering problem of the structures is analyzed based on the linear water wave theory in which the fluid is assumed to be inviscid and incompressible and the flow is assumed to be irrotational. The seabed is assumed to be uniform and impermeable. The water depth keeps constant and ...
Consider an infinitely long, horizontal cylinder of arbitrary cross section, floating on the free surface of an inviscid, incompressible fluid of infinite depth. The fluid motion is assumed two-dimensional, irrotational and of small ampl... GA Athanassoulis - 《Journal of Engineering Mathematics》 ...
Virtual mass and drag in two-phase flow We study virtual mass and drag effects in a fluid suspension consisting of spherical particles immersed in an incompressible, nearly inviscid fluid. We derive average equations of motion for the fluid phase and the particle phase by the ... Felderhof,B...
BI-DIRECTIONAL WATER WAVES The irrotational incompressible flow of shallow layer of inviscid incompressible fluid moving under the influence of gravity as well as surface tension is studied. The wave regime is considered where the surface wave motion has small amplitude and long wavelength and the ...
It is assumed that the fluid is incompressible and inviscid, and irrotational flow so that linear potential theory can be used. The velocity potential and free-surface elevation can be expressed as shown in Eqs. (1), (2):(1)Φ(x,y,z,t)=Re{Aφ(x,y)coshk(z+h)coshkhe−iωt},...
Herein, the liquid is assumed to be inviscid, irrotational, and incompressible, which enables potential flow Parametric study In this section, a parametric study is conducted to assess how variations of the horizontal baffle's width, W and distance from the tank floor, D affect the equivalent ...