MHD mixed convection stagnation-point flow of a chemically reacting fluid over a plate in a porous medium with radiation / Niranjan Hari (original) (raw)
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The numerical investigation of a stagnation point boundary layer flow , mass and heat transfer of a steady two dimensional , incompressible , viscous electrically conducting, chemically reacting laminar fluid over a vertical convectively heated , electrically neutral flat plate exposed to a transverse uniform magnetic field has been carried out to examine the influence of the simultaneous presence of the effects of a convective boundary condition, chemical reaction, heat transfer and suction or injection. The governing coupled partial differential equations have been reduced to a set of coupled nonlinear ordinary differential equations by means of the similarity transformation , which has been solved using the classical fourth order Runge-Kutta method alongside with a shooting technique. The computational results have been presented by means of the table and discussed graphically. It has been observed that pertinent and invaluable engineering parameters such as the Skin-friction coefficient, the plate temperature distribution, the velocity , temperature and concentration profiles are appreciably influenced by flow parameters such as the magnetic field, convective heat parameters , Prandtl number, Sherwood number, Nusselt number, etc .
Applied Mathematics and Mechanics, 2010
An exact and a numerical solutions to the problem of a steady mixed convective MHD flow of an incompressible viscous electrically conducting fluid past an infinite vertical porous plate with combined heat and mass transfer are presented. A uniform magnetic field is assumed to be applied transversely to the direction of the flow with the consideration of the induced magnetic field with viscous and magnetic dissipations of energy. The porous plate is subjected to a constant suction velocity as well as a uniform mixed stream velocity. The governing equations are solved by the perturbation technique and a numerical method. The analytical expressions for the velocity field, the temperature field, the induced magnetic field, the skin-friction, and the rate of heat transfer at the plate are obtained. The numerical results are demonstrated graphically for various values of the parameters involved in the problem. The effects of the Hartmann number, the chemical reaction parameter, the magnetic Prandtl number, and the other parameters involved in the velocity field, the temperature field, the concentration field, and the induced magnetic field from the plate to the fluid are discussed. An increase in the heat source/sink or the Eckert number is found to strongly enhance the fluid velocity values. The induced magnetic field along the x-direction increases with the increase in the Hartmann number, the magnetic Prandtl number, the heat source/sink, and the viscous dissipation. It is found that the flow velocity, the fluid temperature, and the induced magnetic field decrease with the increase in the destructive chemical reaction. Applications of the study arise in the thermal plasma reactor modelling, the electromagnetic induction, the magnetohydrodynamic transport phenomena in chromatographic systems, and the magnetic field control of materials processing. 1218 J. ZUECO and S. AHMED Nomenclature B0, uniform magnetic field; b x , induced magnetic field along the x-
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The present paper analyzes the effects of first order homogeneous chemical reaction and thermal diffusion on hydromagnetic free convection heat and mass transfer flow of viscous dissipative fluid past a semi-infinite vertical moving porous plate embedded in a porous medium in the presence of thermal radiation. The fluid is considered gray, absorbing-emitting but non-scattering medium and Rosseland approximation is considered to describe the radiative heat flux in the energy equation, the plate is considered a moving with constant velocity in the direction of the flow field while the free stream velocity is assumed to follow exponentially increasing small perturbation law. It is considered that the influence of uniform magnetic field acts normal to the porous surface, which absorbs the fluid with suction velocity varying with respect to time. The results obtained have been presented through graphs and tables to observe the effects of various parameters encountered in the problem unde...
The objective of this paper is to analyze the radiation and mass transfer effects on an unsteady two-dimensional laminar mixed convective boundary layer flow of a viscous, incompressible, electrically conducting chemically reacting fluid, along a vertical moving semi-infinite permeable plate with suction, embedded in a uniform porous medium, in the presence of transverse magnetic filed, by taking into account the effects of viscous dissipation. The equations of continuity, linear momentum, energy and diffusion, which govern the flow field, are solved by using a regular perturbation method. The behaviour of the velocity, temperature, concentration, skin-friction, Nusselt number and Sherwood number has been discussed for variations in the governing parameters.
International Journal of Heat and Mass Transfer, 2010
This paper is concerned with the two-dimensional mixed convection boundary layer magnetohydrodynamic (MHD) stagnation-point flow through a porous medium bounded by a stretching vertical plate with thermal radiation. The stretching velocity and the surface temperature are assumed to vary linearly with the distance from the stagnation-point. The coupled partial differential equations are reduced into ordinary differential equations by using similarity transformations. The series solutions of the coupled non-linear system is obtained using an analytical technique namely the homotopy analysis method (HAM). Both cases of assisting and opposing flows are taken into account. The convergence, salient features of the flow and heat transfer characteristics are analyzed and discussed in detail through graphs. The values of skin friction coefficient and the local Nusselt number are tabulated in both cases of assisting and opposing flows. Comparison of the obtained results with the known numerical results [25]) of hydrodynamic flow in absence of porous medium and thermal radiation is made and an excellent agreement is noted.
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This work focuses on the unsteady MHD free convection Aligned magnetic flow of a viscous fluid past a inclined porous plate embedded with porous medium in presence of chemical reaction. In obtaining the solution, the terms regarding radiation effect, temperature gradient dependent heat source are taken into account of energy equation and chemical reaction parameter is taken into account of concentration equation. The Permeability of the porous medium and the suction velocity are considered to be as exponentially decreasing function of time. The effects of the various fluid flow parameters on velocity, temperature and concentration fields with in the boundary layer have been analyzed with the help of graphs. The local skinfriction coefficient and the rates of heat and mass transfer coefficients are also derived and discussed through tables.
The present paper deals with the analysis of unsteady free convection heat and mass transfer flow through a non-homogeneous porous medium with variable permeability bounded by an infinite porous vertical plate in slip flow regime taking into account the radiation, chemical reaction and temperature gradient dependent heat source. The flow is considered under the influence of magnetic field applied normal to the flow. The permeability of the porous medium and the suction velocity at the plate decrease exponentially with time about a constant mean. Approximate solutions for velocity, temperature and concentration fields are obtained using perturbation technique. The expressions for skin-friction and rate of heat transfer and rate of mass transfer are also derived. The results obtained are discussed for cooling case (Gr>0) of the plate. The effects of various physical parameters, encountered into the problem, on the velocity field are numerically shown through graphs while the effects on skin-friction and rate of heat and mass transfer are numerically discussed with the help of tables.
The chemical reaction and heat generation effect on unsteady MHD mixed convection flow past a vertical plate embedded in a porous medium in the presence of chemical reaction, internal heat generation, hall current and thermal radiation has been studied. Non-dimensional variables have been used to obtain the non-dimensional momentum, energy and concentration equations. An explicit finite difference technique with stability and convergence analysis is used to solve non-dimensional, coupled, non-linear partial differential equations. The obtained results for velocity, temperature, concentration, Skin-friction, rate of heat transfer, stream lines and isotherm lines have been represented graphically for different values of flow parameters.
International Journal of Applied Mathematics & Statistical Sciences ( IJAMSS ); Vol.2(5), 2013, 93-116. ISSN(Print): 2319-3972 ; ISSN(Online): 2319-3980; Impact Factor(JCC): 1.4273, 2013
The problem of 2-dimensional unsteady boundary layer MHD mixed double diffusive flow of a viscous incompressible, electrically conducting fluid along a semi-infinite vertical permeable moving plate in presence of a transverse magnetic field, chemical reaction, heat absorption and thermal radiation is considered. The dimensionless governing partial differential equations for this study are solved analytically by using 2-term harmonic and non-harmonic functions. Furthermore, the plate is assumed to move with a constant velocity in fluid flow direction while the free stream velocity is assumed to follow the perturbation rule. Numerical evaluation of the analytical results are performed and few graphical results for the velocity, temperature and concentration distributions and tabulated results for Skin friction, Nusselt number and Sherwood numbers are discussed and presented. KEYWORDS: MHD, Mixed Convection, Heat and Mass Transfer, Thermal Radiation, Heat Absorption, Thermal Diffusivity, Permeability and Chemical Reaction