Study the Effect of Chemical Reaction and Magnetic Field on Free Convection Boundary Layer Flow of Heat and Mass Transfer with Variable Prandtl Number

Abstract

The present problem is focused on the free convection heat and mass transfer flow of an electrically conducting incompressible viscous fluid about a semi-infinite vertical plate by the effect of chemical reaction and magnetic field under the action of heat absorption and variable Prandtl nnumber. The governing partial differential equations are transformed to ordinary differential equation by applying local similarity transformation. Then the dimensionless ordinary differential equations are solved using shooting iteration technique along with Runge-Kutta integration scheme. The effects of magnetic parameter and chemical reaction parameter with variable Prandtl number on velocity, temperature and concentration profiles are discussed numerically and shown graphically. Therefore, the results of velocity field decreases for increasing values of magnetic parameter and chemical reaction parameter in both air and salt water. The temperature field decreases in the presence of magnetic parameter but increases for chemical reaction parameter in case of air and salt water. Also, the concentration profile is slightly increased for increasing the values of magnetic parameter but significant decreasing effect are observed for reaction parameter. Finally, the numerical values of the shear stress, rate of temperature and rate of concentration are also shown in a tabular form.

Boundary Layer Analysis in Nanofluid Flow Past a Permeable Moving Wedge in Presence of Magnetic Field by Using Falkner – Skan Model

“…Later, Buongiorno [6] examined the reasons behind the enhancement in heat transfer for a nanofluid and he found that Brownian diffusion and thermophoresis are the main causes, Nield and Kuznetsov [7] and Kuznetsov and Nield [8] investigated the natural convective boundary layer flow of a nanofluid employing the Buongiorno model. Many researchers [9][10][11][12][13][14] have worked on the boundary layer theory by considering various types of geometry and boundary conditions. By applying the model of Nield and Kuznetsov [7], Khan and Pop [15] were first to study the boundary layer flow of a nanofluid past a linearly stretching sheet.…”

MHD Boundary Layer Flow of Heat and Mass Transfer over a Stretching Sheet in a Rotating System with Hall Current

“…The unsteady flow of a rotating viscous fluid in a channel maintained by non-torsional oscillations of one or both the boundaries has been studied by several authors to analyze the growth and development of boundary layers associated with geothermal flows for possible applications in geophysical fluid dynamics. In this regard, recently, Alam et al [1] has investigated the heat and mass transfer on steady MHD free convection flow along an inclined stretching sheet with suction and heat generation, Rahman et al [2] studied the effect of joule heating on MHD mixed convection around a heat conducting horizontal circular cylinder in a rectangular lid-driven cavity, Kuiry and Bhadur [3] has analyzed the effect of inclined magnetic field of viscous fluids between two parallel porous plates with heat transfer, Ahmmed et al [4] studied the MHD natural convection flow of fluid from a vertical flat plate considering temperature dependent viscosity, Reddy [5] has studied the influence of MHD and thermal radiation boundary layer flow of a nanofluid past a stretching sheet, Kumar et al [6] has studied the mathematical modeling of Soret and hall effects on oscillatory MHD free convective flow of radiating fluid in a rotating vertical porous channel filled with porous medium, Alam et al [7] studied the effect of chemical reaction and magnetic field on free convection boundary layer flow of heat and mass transfer with variable Prandtl number, Parvin et al [8] studied the effect of Prandtl number on forced convective flow and thermal field characteristics inside an open cavity with porous wavy isothermal wall using water-CuO nanofluid, Alam et al [9] has analyzed the steady MHD boundary layer free convective heat and mass transfer flow over an inclined porous plate with variable suction and Soret effect in presence of hall current, Mishra [10] has investigated the heat and mass transfer in the flow of a viscous incompressible fluid along a vertical isothermal unsteady stretching sheet in the presence of heat generation and a transverse magnetic field. In view of the importance of rotating flows, in this paper, steady MHD free convection, heat and mass transfer flow of an incompressible electrically conducting fluid over a stretching sheet in a rotating system under the influence of an applied uniform magnetic field with Hall current is investigated.…”

Temperature Fluctuations in Dusty Fluid Homogeneous Turbulence at Four Point Correlations

“…Azad et al [20,21,22,23] had done their work on the effect of chemical reaction on statistical theory of dusty fluid MHD turbulent flow for certain variables at three-point correlation. Alam et al [24] Study the Effect of Chemical Reaction and Magnetic Field on Free Convection Boundeary Layer Flow of Heat and MassTransfer with Variable Prandtl Number. Most recently Mamun et al [25] also studiedthe effect of 1st order chemical reaction in convective dusty fluids turbulent flow for threepoint Joint Distribution Functions.…”