MHD Flow Of Micropolar Fluid Research Articles

MHD Flow of Micropolar Fluid over an Oscillating Vertical Plate Embedded in Porous Media with Constant Temperature and Concentration

The present analysis represents the MHD flow of micropolar fluid past an oscillating infinite vertical plate embedded in porous media. At the plate, free convections are caused due to the differences in temperature and concentration. Therefore, the combined effect of radiative heat and mass transfer is taken into account. Partial differential equations are used in the mathematical formulation of a micropolar fluid. The system of dimensional governing equations is reduced to dimensionless form by means of dimensional analysis. The Laplace transform technique is applied to obtain the exact solutions for velocity, temperature, and concentration. In order to highlight the flow behavior, numerical computation and graphical illustration are carried out. Furthermore, the corresponding skin friction and wall couple stress are calculated.

Effect of melting on an MHD micropolar fluid flow toward a shrinking sheet with thermal radiation

The effect of melting on a steady boundary layer stagnation-point flow and heat transfer of an electrically conducting micropolar fluid toward a horizontal shrinking sheet in the presence of a uniform transverse magnetic field and thermal radiation is studied. A similarity transformation technique is adopted to obtain self-similar ordinary differential equations, which are solved numerically. The present results are found to be in good agreement with previously published data. Numerical results for the dimensionless velocity and temperature profiles, as well as for the skin friction and the rate of heat transfer are obtained.

MHD Flow of Micropolar Fluid due to a Curved Stretching Sheet with Thermal Radiation

The two-dimensional boundary layer flow of an electrically conducting micropolar fluid and heat transfer subject to a transverse uniform magnetic field over a curved stretching sheet coiled in a circle of radius has been studied. The effect of thermal radiation is also considered using linearized Rosseland approximation. For mathematical formulation of the flow equations, curvilinear coordinates system is used. The governing partial differential equations describing the flow phenomena and heat transfer characteristics are reduced to ordinary differential equations by means of suitable transformations. The system of differential equations is solved numerically by shooting method using Runge-Kutta algorithm combined with the Newtons-Raphson technique. Some physical features of the flow and heat transfer in terms of fluid velocity, angular velocity, temperature profile, the skin-friction coefficient, couple wall stress and the local Nusselt number for several values of fluid parameters are analyzed, discussed and presented in graphs and tables. Comparison of the present results with the published data for the flat surface i.e. ( → ∞) is found in good agreement.

Effect of Melting on an MHD Micropolar Fluid Flow Toward a Shrinking Sheet with Thermal Radiation

Effect of Melting on an MHD Micropolar Fluid Flow Toward a Shrinking Sheet with Thermal Radiation

Effects of Variable Viscosity and Thermal Conductivity on Combined Free-Forced Convection Heat and Mass Transfer MHD Flow of Micropolar Fluid past a Vertical Porous Plate in a Porous Medium

The effect of temperature dependent viscosity and thermal conductivity on combined free-forced convection heat and mass transfer MHD flow of micropolar fluid past a vertical porous plate in a porous medium is studied where the viscosity and thermal conductivity are assumed to be inverse linear functions of temperature. The partial differential equations governing the flow with heat and mass transfer of the problem are transformed into dimensionless form of ordinary differential equations by using similarity substitutions. The governing boundary value problems are then solved numerically using shooting method. The effects of various parameters viz. viscosity parameter, thermal conductivity parameter, thermal buoyancy parameter, mass buoyancy parameter, coupling constant parameter, Prandtl number and magnetic parameter on velocity, micro-rotation, temperature and species concentration fields are investigated and presented graphically. The coefficient of skin-friction, Nusselt number and Sherwood number are also computed and presented tabular form.

Effects of Variable Viscosity and Thermal Conductivity on MHD Flow of Micropolar Fluid in a Continuous Moving Flat Plate

of temperature dependent viscosity and thermal conductivity on magnetohydrodynamic flow and heat transfer over a continuous moving plate of a micropolar fluid have been studied. The fluid viscosity and thermal conductivity are assumed to be vary as inverse linear functions of temperature. Using similarity transformations the governing partial differential equations of motion are reduced to ordinary ones, which are solved numerically for prescribed boundary conditions using shooting method. Numerical results for the velocity, angular velocity, temperature profiles and magnetic field are shown graphically and the Skin friction and Nusselt number are presented in tabular form for various values of the parameters giving the flow and heat transfer characteristics.

Analytical Solution to the MHD Flow of Micropolar Fluid Over a Linear Stretching Sheet

The flow due to a linear stretching sheet in a fluid with suspended particles, modeled as a micropolar fluid, is considered. All reported works on the problem use numerical methods of solution or a regular perturbation technique. An analytical solution is presented in the paper for the coupled non-linear differential equations with inhomogeneous boundary conditions.

Effects of Variable Viscosity and Thermal Conductivity on Unsteady Free Convective Heat and Mass Transfer MHD Flow of Micropolar Fluid with Constant Heat Flux through a Porous Medium

effects of temperature dependent viscosity and thermal conductivity on magneto-hydrodynamic unsteady free convective heat and mass transfer flow of an incompressible micropolar fluid through a porous medium along an infinite vertical plate is studied. A magnetic field of uniform strength is assumed to be applied which makes an angle α with the plane transverse to the direction of the main flow. A similarity parameter σ has been introduced and the suction velocity is considered to be inversely proportional to this time dependent parameter. The partial differential equations governing the flow, heat and mass transfer of the problem are transformed into dimensionless form of ordinary differential equations by using similarity substitutions. The governing boundary value problems are then solved numerically using Runge-Kutta shooting method. The effects of various parameters, viz. viscosity parameter, thermal conductivity parameter, mass transfer parameter, coupling constant parameter, Grashoff number, Prandtl number, Schmidt number and magnetic parameter on velocity, secondary velocity, micro-rotation, temperature and concentration field are obtained and presented graphically. The Skin-friction, Nusselt number and Sherwood number are also computed and presented in table. Keywordsfluid, variable viscosity, thermal conductivity, heat and mass transfer, MHD Flow, Hall Current

Thermal Diffusion Effect on Unsteady Viscous MHD Micropolar Fluid Flow through an Infinite Vertical Plate with Hall and Ion-slip Current

An analysis is carried out to study the effect of Hall and Ion-slip current and heat transfer characteristics over an infinite vertical plate for micropolar fluid in the presence of magnetic field. The governing boundary layer equation first transformed into non-dimensional form and resulting non-linear system of partial differential equations are then solved numerically by using the robust implicit finite difference technique. Also the unconditional stability and convergence test has been carried out to establish the effect of shear stresses, couple stress, Nusselt number and Sherwood number on the flow field. Finally, the effects of various parameters are separately discussed and shown graphically.

Effect of radiation on transient MHD flow of micropolar fluid between porous vertical channel with boundary conditions of the third kind

The present work is devoted to investigate the effect of thermal radiation on fully developed flow of micropolar fluid flowing between the two infinite parallel porous vertical plates in the presence of transverse magnetic field. The fluid is considered to be a gray, absorbing–emitting but non-scattering medium, and the Cogley–Vincent–Gilles formulation is adopted to simulate the radiation component of heat transfer. The rigid plates are assumed to exchange the heat with an external fluid by convection. The governing equations are solved numerically by Crank–Nicolson implicit finite difference method. The effect of various physical parameters such as transient, Hartmann number, micropolar parameter, radiation parameter, Prandtl number, Biot number and Reynolds number on the velocity and temperature field are discussed graphically. The important finding of the present work is that the temperature of the fluid is reduced by applying thermal radiation. Further, the results obtained under the limiting conditions were found to be in good agreement with the existing one.

Unsteady Flow of Radiating and Chemically Reacting MHD Micropolar Fluid in Slip-Flow Regime with Heat Generation

An analytical study of the problem of unsteady free convection with thermal radiation and heat generation on MHD micropolar fluid flow through a porous medium bounded by a semi-infinite vertical plate in a slip-flow regime has been presented. The Rosseland diffusion approximation is used to describe the radiation heat flux in the energy equation. The homogeneous chemical reaction of first order is accounted for in the mass diffusion equation. A uniform magnetic field acts perpendicular on the porous surface absorbing micropolar fluid with a suction velocity varying with time. A perturbation technique is applied to obtain the expressions for the velocity, microrotation, temperature, and concentration distributions. Expressions for the skin-friction, Nusselt number, and Sherwood number are also obtained. The results are discussed graphically for different values of the parameters entered into the equations of the problem.

Effect of thermal diffusion and chemical reaction on heat and mass transfer in an MHD micropolar fluid with heat generation

Unsteady heat and mass transfer by free convective MHD micropolar fluid flow bounded by a semi- infinite porous plate in a rotating frame under the action of transverse magnetic field with chemical reaction in the presence of heat generation is considered. The plate is assumed to oscillate in time with constant frequency so that the solutions of the boundary layer are the same oscillatory type. The governing system of partial differential equations are transformed to dimensionless equations using dimensionless variables. The dimensionless equations are then solved analytically using perturbation technique. With the help of graphs, the effects of the various important parameters entering into the problem on the velocity, microrotation, temperature and concentration fields within the boundary layer are discussed. 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 presented numerically in tabular form. The results show that the observed parameters have significance influence on the flow, heat and mass transfer.

UNSTEADY FREE CONVECTION HEAT AND MASS TRANSFER IN AN MHD MICROPOLAR FLUID IN THE PRESENCE OF THERMO DIFFUSION AND THERMAL RADIATION

This present study investigates the effects of thermo-diffusion and thermal radiation on unsteady heat and mass transfer of free convective MHD micropolar fluid flow bounded by a semi- infinite porous plate in a rotating frame under the action of transverse magnetic field with suction. The plate is assumed to oscillate in time with constant frequency so that the solutions of the boundary layer are the same oscillatory type. The governing system of partial differential equations is transformed to dimensionless equations using di- mensionless variables. The dimensionless equations are then solved analytically using perturbation technique. With the help of graphs, the effects of the various important parameters entering into the problem on the velocity, microrotation, temperature and concentration fields within the boundary layer are discussed. 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 presented numerically in tabular form. The results shows that

Heat Transfer in MHD Micropolar Fluid Flow Past a Vertical Plate in Slip-Flow Regime

We consider unsteady flow of a micropolar fluid through a porous medium bounded by a semi-infinite vertical plate in slip-flow regime. A uniform magnetic field acts perpendicular to the porous surface which absorbs the micropolar fluids with a suction velocity varying with time. The free stream velocity follows an exponentially increasing or decreasing small perturbation law. Using approximate method the expression for the velocity microrotation, and temperature are obtained.

Influence of thermophoresis and chemical reaction on MHD micropolar fluid flow with variable fluid properties

This work investigates the effect of thermophoresis and chemical reaction on heat and mass transfer in hydromagnetic micropolar fluid flow over an inclined permeable plate with constant heat flux and non-uniform heat source/sink in the presence of thermal radiation. It is assumed that the transverse magnetic field is a function of the distance from the origin. The analysis accounts for both temperature dependent fluid viscosity and thermal conductivity. Using the similarity transformation, the governing system of equations are transformed into non-linear ordinary differential equations and are solved numerically using symbolic software MATHEMATICA. Numerical results for the velocity, microrotation, temperature and species concentration as well as for the skin friction, heat and mass transfer are obtained and displayed graphically for pertinent parameters to show interesting aspects of the solution.

The Effects of Chemical Reaction, Hall, and Ion‐Slip Currents on MHD Micropolar Fluid Flow with Thermal Diffusivity Using a Novel Numerical Technique

The problem of magnetomicropolar fluid flow, heat, and mass transfer with suction through a porous medium is numerically analyzed. The problem was studied under the effects of chemical reaction, Hall, ion‐slip currents, and variable thermal diffusivity. The governing fundamental conservation equations of mass, momentum, angular momentum, energy, and concentration are converted into a system of nonlinear ordinary differential equations by means of similarity transformation. The resulting system of coupled nonlinear ordinary differential equations is the then solved using a fairly new technique known as the successive linearization method together with the Chebyshev collocation method. A parametric study illustrating the influence of the magnetic strength, Hall and ion‐slip currents, Eckert number, chemical reaction and permeability on the Nusselt and Sherwood numbers, skin friction coefficients, velocities, temperature, and concentration was carried out.

Slip effects on heat and mass transfer in MHD micropolar fluid flow over an inclined plate with thermal radiation and chemical reaction

SUMMARYThe influence of partial slip, thermal radiation, chemical reaction and temperature‐dependent fluid properties on heat and mass transfer in hydro‐magnetic micropolar fluid flow over an inclined permeable plate with constant heat flux and non‐uniform heat source/sink is studied. The transverse magnetic field is assumed as a function of the distance from the origin. Also it is assumed that the fluid viscosity and the thermal conductivity vary as an inverse function and linear function of temperature, respectively. With the use of the similarity transformation, the governing system of non‐linear partial differential equations are transformed into non‐linear ordinary differential equations and are solved numerically using symbolic software MATHEMATICA 7.0 (Wolfram Research, Champaign, IL). The numerical values obtained for the velocity, microrotation, temperature, species concentration, skin friction coefficient and the Nusselt number are presented through graphs and tables for several sets of values of the parameters. The effects of various physical parameters on the flow and heat transfer characteristics are discussed.Copyright © 2011 John Wiley & Sons, Ltd.

MHD micropolar fluid flow adjacent to a stretching vertical sheet with prescribed wall heat flux

MHD micropolar fluid flow adjacent to a stretching vertical sheet with prescribed wall heat flux

MHD flow of micropolar fluid in a rectangular duct with hall and ion slip effects

The steady flow of incompressible and electrically conducting micropolar fluid flow through a rectangular channel is considered taking Hall and ionic effects into consideration. An external uniform magnetic field is applied which is directed arbitrary in a plane perpendicular to the flow direction. The governing partial differential equations are solved numerically using finite difference method, and the effects of micropolar parameters, magnetic parameter, Hall parameter and ion slip parameter on the velocity and microrotation are discussed.

Homotopy analysis method for fully developed MHD micropolar fluid flow between vertical porous plates

AbstractIn this paper, the fully developed natural convection of MHD micropolar fluid flow between two vertical porous plates is considered. The coupled system of non‐linear differential equations governing the flow is solved analytically by the homotopy analysis method (HAM). The HAM contains an auxiliary parameter ℏ, which provides us with a simple way to adjust and control the convergence region and rate of convergence of the series solution. Velocity, microrotation and temperature profiles are presented for several values of the Hartmann number and the micropolar parameter. Copyright © 2008 John Wiley & Sons, Ltd.