This paper aims to study the evolution of interfaces of a jet stream flowing in a stationary medium. The medium and the jet stream have been considered inviscid, surface tension effects have been neglected and there is a density jump across the interface between the stream and the media, within the jet stream and outside in the surrounding media density remains uniform. Due to discontinuity in ...

In this work, the dynamics of bioconvection process gravitactic microorganisms enclosed in a rectangular cavity, is analyzed. The dimensionless cell and energy conservation equations are coupled with vorticity-stream function formulation. Then, effects Rayleigh number heating source on discussed. results based streamlines, concentration temperature contours obtained through numerical simulation...

In this paper, a new algorithm for solving the Navier–Stokes equations (NSE) on quantum device is presented. For fluid flow equations, stream function-vorticity formulation adopted, while lattice Boltzmann method (LBM) utilized corresponding system of numerically one time step. Following nature method, proposed consists five major sections: initialization, collision, propagation, boundary condi...

This work aimed to analyze the heat transfer of micropolar fluid flow in a constricted channel influenced by thermal radiation and Lorentz force. A finite difference-based solver, on Cartesian grid, is used for numerical solution after transforming governing equations into vorticity-stream function form. The impact various emerging parameters wall shear stress, axial velocity, micro-rotation ve...

The motion of a sphere moving along the axis of a rotating viscous fluid is studied at high Reynolds numbers and moderate values of Taylor number. The Higher Order Compact Scheme is used to solve the governing Navier-Stokes equations. The equations are written in the form of Stream function, Vorticity function and angular velocity which are highly non-linear, coupled and elliptic partial differ...

A numerical technique is devised to solve a problem of the steady laminar fluid motion in straight plane hard-walled duct with two local axisymmetric rectangular constrictions. It uses stream function, vorticity and pressure as basic variables, has second order accuracy spatial first temporal coordinates, provides high stability solution, needs significantly less computational time obtain resul...

this paper reports a cfd modeling study on the possibility of using high temperature and low oxygen content exhaust gases as oxidant for combustion in an industrial furnace by a written computer program. under these conditions,the predicted results for the flow and heat transfer properties are compared with those under the several cases of conventional and highly preheated and diluted air combu...

We investigate the stability of a barotropic vorticity monopole whose stream function is a Gaussian function of the radial coordinate. The model is based on the inviscid Boussinesq equations. The vortex is assumed to exist on an f -plane, in an environment with constant, stable density stratification. In the unstratified, nonrotating case, we find growth rates that increase monotonically with i...

This paper is aimed at eliciting consistency conditions for the existence of unsteady incompressible axisymmetric swirling viscous Beltrami vortices and explicitly constructing solutions that obey as well Navier–Stokes equations. By flow, it meant vorticity, i.e., curl velocity, proportional to velocity any local point in space time. The are derived proportionality coefficient, field external f...

This paper describes the effects of induced magnetic field and partial slip on the peristaltic flow of a couple stress fluids in an asymmetric channel. The two dimensional equation of couple stress fluid are simplified by making the assumptions of long wave length and low Reynolds number. The exact solutions of reduced momentum equation and magnetic force function have been computed in wave...