Within this chapter, a basic theory will be presented to solve the problem of flow of incompressible fluid. 6.1 Continuity equation The equation of continuity is an analytic form of the law on the maintenance of mass. This law can be applied both to the elemental mass of the fluid particle...
When an incompressible liquid flows steadily over a solid surface, the liquid close to the surface experiences a significant retardation. The liquid velocity is zero at the surface (provided that the no-slip boundary condition holds) and gradually increases with distance from the surface, and a ve...
The two-dimensional free-surface waves due to a point force steadily moving beneath the capillary surface of an incompressible viscous fluid of infinite depth were analytically investigated. The unsteady Oseen equations were taken as the governing equations for the viscous flows. The kinematic and ...
CJ Koh,LG Leal - 《Physics of Fluids A Fluid Dynamics》 被引量: 49发表: 1990年 The onset of chaotic oscillations and rapid growth of a spherical bubble at subcritical conditions in an incompressible liquid Recently developed techniques of Wiggins [SIAM J. Appl. Math. 48, 262 (1988)] are...
The bulk gas motion in a circular-port rocket motor is described using a rotational, incompressible, and viscous flow model that incorporates the effect of... J Majdalani,GA Flandro,AB Vyas - 《Aiaa Journal》 被引量: 129发表: 2002年 On axisymmetric intrusive gravity currents in a stratified...
Fluid-Structure Interaction in Internal Physiological Flows ) in the deposited film thickness, which increases (decreases) the plug length, so the steadily propagating plug is expected to be stable (unstable). ... M Heil,AL Hazel - 《Annual Review of Fluid Mechanics》 被引量: 122发表: 2011年...
The mechanical energy conservation equation for fluids is also known as Bernoulli's equation. According to which, the total energy for a steady, incompressible, and irrotational flow remains constant.Answer and Explanation: Given data...
distribution of vorticity posterior to the patch (Fig.6i–l) which exhibits nearly zero value vorticity in the near wall region. This is mainly due to the sink of the vorticity as can be elaborated using the vorticity evolution equation for a two dimensional, viscous incompressible flows ...
which corresponds to the solution for a point sink with the flow rate Q located at the origin in an incompressible fluid. In region 2 we introduce the following representations for the flow functions and coordinates: x=εθ1/2x2,y=εθ1/2y2 ...
In Eq. (6.15), w is the element thickness; the product q⋅g represents the flow of incompressible fluid (per unit width) between parallel plates, i.e., plane Poiseuille flow; δpi is the fluid pressure at the fracture midplane; g is the fracture opening; dx is an infinitesimal length...