An unsteady three dimensional flow in an incompressible viscous, chemically reacting fluid mixture due to a permeable rotating heated disk is studied by taking into account the effects of magnetic field, ohmic heating, viscous dissipation, chemical reaction and suction or injection. The system of nonlinear partial differential equations governing the flow, heat and mass transfer is reduced to a system of nonlinear ordinary differential equations by using similarity transformations. The resulting system of ordinary coupled nonlinear differential equations is solved numerically by bvp4c and solutions are presented graphically. All numerical calculations are done with respect to air at 20 0 C (Pr = 0.71) in presence of Hydrogen (Sc = 0.22). Numerical values of the local skin frictions and the rate of heat and mass transfers are shown in tables.
In the present paper we have studied the effects of magnetic field, thermal diffusion, thermal radiation and chemical reaction on velocity, temperature and concentration fields about an axially moving isothermal semi infinite solid vertical cylinder in two dimensional incompressible viscous binary fluid mixtures. The governing equations of continuity, momentum, energy and concentration are transformed into non similar boundary layer equations and are solved by using a regular perturbation method together with Matlab's built in solver bvp4c. Numerical solutions for axial velocity component, temperature and concentration of the rarer and lighter component of the binary fluid mixture are obtained on the basis of boundary layer approximation and presented graphically for axial curvature parameter, magnetic field parameter, thermal diffusion parameter, radiation parameter and chemical reaction parameter. It has been found that these parameters affect considerably the flow characteristics. The problem under consideration reduces to the flat plate case when the curvature parameter is absent.
ABSTRACT:The problem of mass distribution in an unsteady two dimensional flow of a viscous, incompressible, thermally and electrically conducting binary fluid mixture between two infinite vertical parallel plates under the influence of chemical reaction, uniform magnetic field and temperature gradient is studied. The magnetic field lines are assumed to be fixed relative to the moving plates. The governing partial differential equations are first transformed into ODEs by the method of separation of variables and then solved numerically by using MATLAB's built in solver bvp4c. The solution for the concentration of the rarer and lighter component of the binary fluid mixture for different values of Reynolds number, chemical reaction parameter, Schmidt number, thermal diffusion number and Peclet number are presented graphically to analyse their effects on mass distribution of the components of the binary fluid mixture.
MHD flow, heat and mass transfer through porous media have seen a tremendous increase in research attention. This rapidly increasing research activity has been due to the increasing number of practical applications on porous media in chemical reactors, the underground spread of pollutant, many modern industries ranging from micro to macro and many other heat transfer processes. The problem of flow, heat and mass transfer about a horizontal circular cylinder in porous medium is considered in this study. Governing boundary layer equations are first transformed into ordinary differential equations and are solved by using Matlab's built in solver bvp4c. Velocity, temperature and concentration profiles are shown graphically for different values of parameters involved in the dimensionless equations and discussed in detail.
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