We construct point vortex equilibria with strengths quantized by multiples of 2π in a fixed background vorticity field on the surface curved torus. The consists two terms: first, term exponentially related to stream function and second arising from curvature torus, which leads Liouville-type equation for function. By using stereographic projection torus onto an annulus complex plane, admits cla...

In this study, a numerical solution of 2D steady incompressible lid-driven cavity flow is presented. Three different numerical schemes were employed to make a comparison on the practicality of the methods. An alternating direction implicit scheme for the vorticity-stream function formulation, explicit and implicit schemes for the primitive variable formulation of governing Navier-Stokes equatio...

Tsuji burners, in which flames may be anchored the forward stagnation region of a cylindrical porous fuel injector placed uniform air stream, are addressed here for moderately large Reynolds numbers. Attention is focused on conditions under fuel-injection velocity not sufficiently small compared with outer boundary layer to remain attached part cylinder surface. In resulting flow, flame embedde...

This article presents a numerical investigation of the pulsatile flow non-Newtonian Casson fluid through rectangular channel with symmetrical local constriction on walls. The objective is to study heat transfer characteristics said under an applied magnetic field and thermal radiation. Such may find its application in devising treatments for stenosis blood arteries, designing biomechanical devi...

This article presented an analysis of the pulsatile flow non-Newtonian micropolar (MP) fluid under Lorentz force’s effect in a channel with symmetrical constrictions on walls. The governing equations were first converted into vorticity–stream function form, and finite difference-based solver was used to solve it numerically Cartesian grid. impacts different controlling parameters, including Har...

We investigate solutions of the 2d incompressible Euler equations, linearized around steady states which are radially decreasing vortices. Our main goal is to understand smoothness what we call spectral density function associated with operator, hope will be a step towards proving full nonlinear asymptotic stability The motivation for considering that it not possible describe vorticity or strea...

Steady, inviscid, axisymmetric vortex ows past a sphere are obtained numerically as solutions of a partial di erential equation for the stream function. The solutions found include vortex rings, bounded vortices attached to the sphere and in nite vortex tubes. Four families of attached vortices are described: vortex wakes behind the sphere, spherically annular vortices surrounding the spherical...