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EN
This article analyses the influence of viscous dissipation and thermoporesis effects on the viscous fluid flow over a porous sheet stretching exponentially by applying convective boundary condition. The numerical solutions to the governing equations are evaluated using a local similarity and non-similarity approach along with a successive linearisation procedure and Chebyshev collocation method. The influence of the pertinent parameters on the physical quantities are displayed through graphs.
EN
The creeping motion of a porous approximate sphere at the instant it passes the center of an approximate spherical container with Ochoa-Tapia and Whitaker’s stress jump boundary condition has been investigated analytically. The Brinkman’s model for the flow inside the porous approximate sphere and the Stokes equation for the flow in an approximate spherical container were used to study the motion. The stream function (and thus the velocity) and pressure (both for the flow inside the porous approximate sphere and inside an approximate spherical container) are calculated. The drag force experienced by the porous approximate spherical particle and wall correction factor are determined in closed forms. The special cases of porous sphere in a spherical container and oblate spheroid in an oblate spheroidal container are obtained from the present analysis. It is observed that drag not only changes with the permeability of the porous region, but as the stress jump coefficient increases, the rate of change in behavior of drag increases.
EN
The oscillatory flow of an incompressible couple stress fluid through an annulus with mild constriction at the outer wall is considered. The mean pressure drops and the mean wall shear stress are calculated across the constricted region. The steady streaming effect on the flow is presented. The variations in the mean pressure drop and wall shear stress with the size of the catheter, the velocity of the catheter and couple stress fluid parameter, are studied through graphs.
4
Content available remote Hall and ion-slip effects on the flow of micropolar fluid between parallel plates
EN
The steady flow of an incompressible and electrically conducting micropolar fluid between two parallel infinite plates is studied taking Hall and ionic effects into consideration. The fluid motion is due to the constant pressure gradient. An extemal uniform magnetic field directed perpendicular to the flow direction is applied. The expressions for the velocity and micro rotation are obtained. The effects of micropolar parameters, magnetic parameter, Hall parameter and ion slip parameter on the velocity, and micro rotation are discussed.
EN
The mixed convection heat and mass transfer from a vertical surface embedded in a doubly stratified nonDarcy porous medium have been analyzed. The wall temperature and concentration are constant and the medium is linearly stratified with respect to both temperature and concentration. The external flow is assumed to be uniform. A series approximation is made for both temperature and concentration in terms of the stratification parameter and the solution is presented in both the aiding and opposing flow cases. The flow, temperature and concentration fields are effected by complex interactions among the diffusion ratio Le and buoyancy ratio N and stratification ratio Sr in addition to the flow driving mixed convection parameter Ra/Pe The effect of double stratification of the medium on non-dimensional heat and mass transfer coefficients is discussed.
6
Content available remote Stokes flow past a porous approximate sphere
EN
In this paper, the flow of an incompressible viscous fluid past and within a porous approximate sphere directed along its axis of symmetry is considered. By assuming that Stokes equations for a creeping flow govern the flow outside the body and Darcy's law governs the tluid motion within the porous region of the body, an analytical soIution for the stream function is obtained. The drag experienced by the body is calculated and its variation with respect to the permeability parameter is studied numericaIly. Prom the present analysis, the flow past a porous sphere and spheroid are obtained as special cases.
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