Analytical solution of MHD free convective flow of couple stress fluid in an annulus with Hall and ion-slip effects

This paper presents the Hall and Ion-slip effects on electrically conducting couple stress fluid flow between two circular cylinders in the presence of a temperature dependent heat source. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations and then solved using homotopy analysis method (HAM). The effects of the magnetic parameter, Hall parameter, Ion-slip parameter and couple stress fluid parameter on velocity and  temperature are discussed and shown graphically

Radiation effect on mixed convection flow of nanofluid between two concentric cylinders with Hall and Ion-slip effects

This paper analyzes the effects of thermal radiation, Hall and ion slip parameter on mixed convective nanofluid flow in an annuli between two concentric cylinders in the existence of strong magnetic field. The nonlinear governing equations are non-dimensionalized and then solved by using homotopy analysis method. The influence of radiation, magnetic, Hall and ion slip parameters on the velocity, temperature, nanoparticle concentration, Nusselt number and nanoparticle Sherwood number are investigated and represented graphically

Soret and Dufour effects on mixed convection in a non-Darcy porous medium saturated with micropolar fluid

In this paper, the Soret and Dufour effects on the steady, laminar mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a non-Darcy porous medium saturated with micropolar fluid are studied. The governing partial differential equations are transformed into ordinary differential equations. The local similarity solutions of the transformed dimensionless equations for the flow, microrotation, heat and mass transfer characteristics are evaluated using Keller-box method. Numerical results are presented in the form of velocity, microrotation, temperature and concentration profiles within the boundary layer for different parameters entering into the analysis. Also the effects of the pertinent parameters on the local skin friction coefficient and rates of heat and mass transfer in terms of the local Nusselt and Sherwood numbers are also discussed

Micropolar fluid flow through a stenosed bifurcated artery

The aim of this article is to investigate the blood flow in bifurcated artery with mild stenosis taking blood as a micropolar fluid. The arteries, forming bifurcation are taken to be symmetric and straight cylinders of finite length. The governing equations are non-dimensionalized and coordinate transformation is used to convert the irregular boundary to a regular boundary. The resulting system of equations is solved numerically using the finite difference method. The variation of velocity, microrotation, shear stress, flow rate and impedance near the flow divider with relevant physical parameters are presented graphically. It is found that, due to backflow and secondary flow, impedance and flow rate are perturbed largely at the apex. It is also seen that the microrotation changes it's sign from negative to positive for increase values of bifurcated angle and micropolar coupling number

MHD Boundary Layer Flow of a Nanofluid Past a Wedge

AbstractThis paper analyzes the steady laminar magnetohydrodynamic (MHD) flow, heat and mass transfer characteristics in a nanofluid over a wedge in the presence of a variable magnetic field. The governing nonlinear partial differential equations are transformed into a system of ordinary differential equations using similarity variables and then solved numerically by using spectral quasi linearization method (SQLM). The present numerical results are validated by favourable comparisons with previously published ones as the special cases of the present investigations. The effects of magnetic parameter, Falkner-Skan power-law parameter and the volume fraction parameter on the non-dimensional heat and mass transfer rates are presented graphically

Soret and Dufour effects on mixed convection along a vertical wavy surface in a porous medium with variable properties

AbstractThe results of mixed convective heat and mass transfer flow along a wavy surface in a Darcy porous medium are presented in the presence of cross diffusion effects. The viscosity and thermal conductivity of the fluid are assumed to be varying with respect to temperature. The governing, flow, momentum, energy and concentration equations are transformed into a set of ordinary differential equations using the similarity transformation and then solved numerically. The present results are compared with previously published work and are found to be a very good agreement. The numerical results of velocity, temperature and concentration as well as Nusselt number and Sherwood number are reported graphically for various values of variable viscosity, variable thermal conductivity, Soret number, Dufour number and amplitude of the wavy surface in two different cases, buoyancy-aiding flow and buoyancy-opposing flow

Mixed convection flow of couple stress fluid between vertical parallel plates with radiation and chemical reaction effects

Paper presented to the 10th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Florida, 14-16 July 2014.This paper studies the effects of thermal radiation and chemical reaction on two dimensional incompressible couple stress fluid flow with mixed convective heat and mass transfer between two vertical parallel plates in a porous space. The plates are kept at different but constant temperature and concentrations. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations. The resulting equations are then solved using the homotopy analysis method. The effects of the radiation parameter, chemical reaction parameter and couple stress fluid parameter on velocity, temperature and concentrations are discussed and shown graphically. Also the effects of the pertinent parameters on the rates of heat and mass transfer are tabulated.cf201