Mhd flow of micropolar fluid over an oscillating vertical plate embedded in porous media with constant temperature and concentration nadeemahmadsheikh,1 farhadali,1 ilyaskhan,2 muhammadsaqib,1 andarshadkhan3. Eringen was the primary researcher who presented a simple concept of micropolar fluid and its characteristics. Slip effects on heat and mass transfer in mhd micropolar. Mhd mixed convection flow of a micropolar fluids through. Numerical simulation of mhd flow of micropolar fluid inside a porous inclined cavity with uniform and nonuniform heated bottom wall. The steady mhd mixed convection stagnation point flow towards a vertical surface immersed in an incompressible micropolar fluid is investigated. Mhd stagnation point flow of a micropolar fluid over a. A comprehensive investigation of mass and heat transfer in magnetohydrodynamics mhd flow of an electrically conducting nonnewtonian micropolar fluid because of curved stretching sheet is presented. The fluid viscosity and thermal conductivity are assumed to be vary as inverse linear functions of temperature. Effects of variable viscosity and thermal conductivity on. Mhd peristaltic transport of a micropolar fluid in an asymmetric channel with porous medium k. Heat sourcesink and thermal conductivity effects on. Nilore, islamabad 44000, pakistan corresponding author email. Takhar et al 4 studied the mixed convection flow of a micropolar fluid over a stretching sheet.
This study presents the problem of a steady, twodimensional, heat and mass transfer of an incompressible, electrically conducting micropolar fluid flow past a stretching surface with velocity and thermal slip conditions. Mhd boundary layer stagnation point flow and heat transfer. A steady twodimensional mhd flow of a micropolar fluid through a porous medium past a semiinfinite horizontal plate in the presence of uniform heat source was considered in the present study. Mhd flow of a micropolar fluid past a stretched permeable. The aim of the present paper was to study the mhd stagnationpoint flow over a stretching or shrinking sheet immersed in a micropolar fluid with slip effect. Homotopy analysis of mhd free convective micropolar fluid. Mhd flow of micropolar fluid due to a curved stretching. The mhd planar couette micropolar flow is solved analytically. The unsteady nonlinear differential system along with the corresponding boundary conditions was. A comprehensive study of mhd twodimensional boundary layer stagnation point flow with radiation and heat generation characteristics towards a heated shrinking sheet immersed in an electrically conducting incompressible micropolar fluid in the presence of a transverse magnetic field is analyzed numerically.
A numerical study was carried out to examine the magnetohydrodynamic mhd flow of micropolar fluid on a shrinking surface in the. As mentioned above, eringens mhd model for micropolar fluids has. Entropy generation analysis of hall current effect on mhd micropolar fluid flow with rotation effect. The governing equations have been transformed into nonlinear ordinary differential equations by applying the. Magnetohydrodynamic mhd flow of a micropolar fluid towards a. Finite difference technique is used as a tool for the numerical approach. Mhd flow of micropolar fluid over an oscillating vertical. The paper investigates the numerical solution of problem of magnetohydrodynamic mhd micropolar fluid flow with heat and mass transfer towards a stagnation point on a vertical plate. Several investigators have extended many of the available. Islam and others published mhd micropolar fluid flow through vertical porous medium. Porous medium towards a stagnation point on a vertical. Mhd flow of micropolar fluid due to a curved stretching sheet with thermal radiation m.
Slip effects on heat and mass transfer in mhd micropolar fluid flow over an inclined plate with thermal radiation and chemical reaction. Mahmoud 16 studied the thermal radiation effects on mhd flow of a micropolar fluid over a stretching surface with variable thermal conductivity on the boundary. Boundary layer flow and heat transfer on a continuous on a continuous accelerated sheet extruded in an ambient micropolar. Introduction micropolar fluids are a subset of the micromorphic fluid theory introduced in a pioneering paper by eringen1. At the end of the twentieth, century, lukaszewicz composed a comprehensive book on micropolar fluid and broke it down in details. Oct 19, 2016 the effect of melting on a steady boundary layer stagnationpoint 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. Numerical solution of mhd flow of micropolar fluid with. 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. Unsteady mhd mixed convection flow of a viscous dissipating. The fluid flow is treated with strong magnetic field. The steady nonisothermal convective heat transfer in magnetohydrodynamic micropolar fluid flow over a nonlinear extending wall is examined. Radiation and mass transfer effects on mhd free convective flow of a micropolar fluid past an infinite vertical porous moving plate embedded in a porous medium with viscous dissipation p.
Mhd flow of heat and mass transfer over an unsteady stretching sheet in a. Mar 12, 2020 a comprehensive investigation of mass and heat transfer in magnetohydrodynamics mhd flow of an electrically conducting nonnewtonian micropolar fluid because of curved stretching sheet is presented. Unsteady flow, mixed convection, heat transfer, micropolar fluid, mhd, stretching surface, second order slip flow, viscous dissipation. Entropy generation analysis of hall current effect on mhd micropolar fluid flow with rotation. Mhd flow of a micropolar fluid near a stagnationpoint towards a nonlinear stretching surface was considered by. Short communication on the solution of heat transfer to micropolar fluid from a nonisothermal stretching sheet with injection. Mhd flow of micropolar fluid over an oscillating vertical plate. The effects of variable viscosity, viscous dissipation and chemical reaction on heat and mass transfer flow of mhd micropolar fluid along a permeable stretching sheet in a nondarcian porous medium a. Also, the influences of temperature dependent viscosity, thermal radiation and nonuniform heat generationabsorption and chemical reaction of a general order are examined on.
Figure 1 describes the geometry of the problem showing that the upper disk is placed at 0, l, h and the lower. Research article the effects of variable viscosity. Mhd flow of a micropolar fluid with asymmetric wall temperatures s. Department of mathematics, kalyani government engineering college, kalyani, nadia, west bengal, india. Study of the couple stress convective micropolar fluid. Unsteady mhd mixed convection flow of a micropolar fluid. The main objective of the present work is to study the numerical solutions of problem of magnetohydrody. Mhd flow of a micropolar fluid near a stagnationpoint towards a nonlinear stretching surface was considered by hat et al 11. Mhd stagnationpoint flow over a stretchingshrinking sheet. Stagnation point flow of a micropolar fluid towards a stretching sheet was investigated by nazar et al 7. Numerical simulations of mhd forced convection flow of micropolar fluid inside a rightangled triangular cavity saturated with porous medium.
Heat transfer effect on mhd flow of a micropolar fluid. The micropolar fluid behavior on twodimensional unsteady flow. Singh na and hansens procedure for solving the mhd flow around a cylinder in crossed. Numerical simulations of mhd forced convection flow of.
The impact of developing dimensionless parameters on. The study on fluid flow which is now widely studied is on magnetohydrodynamic mhd. Manjoolatha 21 studied the radiation and mass et al. In this study, we consider both strong concentrations n 0 and weak concentrations n 12. Optimal and numerical solutions for an mhd micropolar. Micropolar fluids are those consisting of randomly oriented particles suspended in a viscous. The above equations can be rewritten for an incompressible steady micropolar fluid in the presence of mhd neglecting the body forces and couple terms through the space between two noncoaxial disks and takes the form as follows. The main objective of the present investigation is to measure the effect of mmr and the possible differences encountered by ignoring it. Mhd mixed convection micropolar fluid flow through a. Pdf mhd flow of a micropolar fluid with asymmetric wall. Analytical solution to the mhd flow of micropolar fluid 401 s s 2s 1 and 0s1 2.
They derived similarity solutions by homotopy analysis method and compared them with the solutions obtained by homotopy perturbation method. Mathematical analysis of magnetohydrodynamic mhd flow of. Entropy generation analysis of hall current effect on mhd. Mhd micropolar fluid flow towards a vertical surface in presence of. Pdf mhd micropolar fluid flow through vertical porous.
Mhd flow of micropolar fluid in a rectangular duct with. The micropolar fluid behavior on steady mhd free convection and mass transfer flow past a semiinfinite vertical porous plate with constant heat and mass fluxes, the diffusion thermo, thermal diffusion, viscous dissipation and joule heating have been studied under the action of a transverse magnetic field. Micropolar fluid behaviors on steady mhd free convection and. Magnetohydrodynamic free convection boundary layer flow of a thermomicropolar fluid over a vertical. Radiation and mass transfer effects on mhd free convective. Consider the viscous incompressible fluid flowing through the space between the noncoaxial disks.
Effect of melting on an mhd micropolar fluid flow toward a. The obtained governing equations have been converted into a set of dimensionless differential equations and then numerically solved by. Magnetohydrodynamic is a conductive and electrical in a magnetic field. Stagnation point flow of mhd micropolar fluid in the presence.
Mhd micropolar fluid flow bounded by a semi infinite porous plate in a rotating frame under the action of transverse magnetic field with suction. Research article the effects of variable viscosity, viscous. Mhd flow, micropolar fluid, stretched surface, heat generation or absorption. The effect of melting on a steady boundary layer stagnationpoint 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. Analytical solution to the mhd flow of micropolar fluid over. Pdf heat and mass transfer in mhd micropolar fluid in. Numerical simulation of mhd flow of micropolar fluid. The main object of the present investigation is to study the effects of diffusionthermo and first order homogeneous chemical reaction on micropolar fluid flow over a vertical permeable plate in. Heat and mass transfer in mhd micropolar fluid in the presence of diffusion thermo and chemical reaction article pdf available january 2017 with 83 reads how we measure reads. Finite element analysis of heat and mass transfer of a mhd. Pdf this study presents the problem of a steady, twodimensional, heat and mass transfer of an incompressible, electrically conducting micropolar. Motsa and shateyi 25 analyzes the effects of chemical reaction, hall, and ionslip currents on mhd micropolar fluid flow with thermal diffusivity using a novel numerical technique. Finite element analysis of heat and mass transfer of a mhd micropolar fluid over a vertical channel v.
A similarity transformation technique is adopted to obtain selfsimilar ordinary differential equations, which are solved numerically. Analytical solution to the mhd flow of micropolar fluid. Stagnation point flow of mhd micropolar fluid in the. The aim of this study is to examine the influence of both the velocity and thermal slip on heat and mass transfer in mhd micropolar fluid flow over a. Effects of thermal radiation on magnetohydrodynamic mhd. The equations of motion of a micropolar fluid by eringen are as follows. Abstractthe present study examines the effect of heat transfer on electrically conducting mhd micropolar fluid flow along a semiinfinite horizontal plate with radiation and heat source. Unsteady mhd mixed convection flow of a micropolar fluid over. In a cartesian coordinate system, let us consider a rotation of eccentrically placed disks in xy plane rotating at a constant rate of. Consider a laminar, boundary layer slip flow of a viscous, incompressible, mhd micropolar fluid past a flat stretching sheet. Hazarika and bandita phukan, journalinternational journal of computer applications, year2015, volume122, pages29.
He expanded his research and wrote an article, after two years, in which compressive investigation of micropolar had been given see. Mhd stagnationpoint flow over a stretchingshrinking. Pdf heat and mass transfer in mhd micropolar fluid flow over a. Dual solutions and stability analysis liaquat ali lund 1,2, zurni omar 1, ilyas khan 3, seifedine kadry 4, seungmin rho 5, irshad ali mari 2 and kottakkaran sooppy nisar 6 1 school of quantitative sciences, universiti utara malaysia, sintok 06010, kedah. The constitutive equations, giving the stress tensor and the. Mhd boundary layer flow of a micropolar fluid past a wedge with constant wall heat flux. Mhd flow of heat and mass transfer over an unsteady. Mhd effects on micropolar nanofluid flow over a radiative. Later on, takhar et al highlighted free convection mhd micropolar fluid flow between two porous vertical plates and perceived that velocity decreases with an increase in hartman number. Let us consider the steady two dimensional mhd free convection and mass transfer micropolar fluid flow past a semiinfinite vertical porous plate y 0. The effect of radiation was analysed by modifying the energy equation. The cartesian coordinate system is xyz, and the corresponding velocity components are uv,0. Sajid2 1department of mathematics, the islamia university of bahawalpur, bahawalpur 63100, pakistan 2 theoretical physics division, pinstech, p. Mhd peristaltic transport of a micropolar fluid in an.
Convective heat transfer in an electrically conducting micropolar fluid at a stretching surface with uniform free stream. The theory of microrotation fluids, first studied by eringen 17. Micropolar fluid behaviors on steady mhd free convection. The studies dealing with micropolar magnetohydrodynamic mhd flows usually ignore the micromagnetorotation mmr effect, by assuming that magnetization and magnetic field vectors are parallel. Umavathi studied mixed convection flow of a micropolar fluid 12 with concentration in a vertical channel in the presence of heat source or sink. The numerical studies are performed to examine the mhd micropolar fluid flow through a vertical porous plate. Non darcian soret effects on mhd convective flow over a. The influence of magnetic field, hall current, and couple stress are mainly focused in this work. The xaxis is taken along the heated plate in the upward direction and the yaxis normal to it. Mhd flow of micropolar fluid in a rectangular duct with hall and ion. Heat and mass transfer in mhd micropolar fluid flow over a. Thia garajan considered a semi analytical investigation on mhd micropolar fluid and. The uniform magnetic field has applied along the principal flow direction.
The mhd flow in a micropolar fluid was studied quite recently by borrelli et al. Researcharticle mhd flow of micropolar fluid over an oscillating vertical plate embedded in porous media with constant temperature and concentration. The governing continuity, momentum, angular momentum and heat equations together. Desseaux and kelson 3 studied the flow of a micropolar fluid bounded by a stretching sheet. The steady flow of incompressible and electrically conducting micropolar fluid flow through a rectangular channel is considered taking hall and ionic effects into. Sucharitha 2 1department of mathematics, sri venkateswara university, tirupati, india 2department of mathematics, sree vidyanikethan engineering college, tirupati, india. Heat and mass transfer in mhd micropolar fluid in the. Electrical mhd flow of micropolar nanofluid was examined by chamkha et al. Analytical solution to the mhd flow of micropolar fluid over a linear stretching sheet. Mhd flow of micropolar fluid partial slip conditions. Magnetohydrodynamic mhd flow of micropolar fluid with. Mhd flow of a micropolar fluid past a stretched permeable surface eldahab and ghonaim 12 studied radiation effects on heat transfer of a micropolar. Using similarity transformations the governing partial differential equations of motion are reduced to. Numerical solution of mhd flow of micropolar fluid with heat.