R. Kandasamy

Effects of Chemical Reaction, Heat and Mass Transfer on MHD Flow past a Semi Infinite Plate

An approximate numerical solution for the steady MHD flow over an infinite horizontal plate in the presence of species concentration and chemical reaction has been obtained by solving the non-linear governing equations using R. K. Gills method. The fluid is assumed to be viscous, incompressible, and electrically conducting. A uniform transverse magnetic field is applied. It has been observed that in the presence of chemical reaction (1) the velocity and the concentration decrease with increase of the chemical reaction parameter and vice versa, (2) the velocity decreases and the concentration is uniform with increase of the magnetic parameter and vice versa.

EFFECTS OF CHEMICAL REACTION, HEAT AND MASS TRANSFER ON NON-LINEAR MHD LAMINAR BOUNDARY-LAYER FLOW OVER A WEDGE WITH SUCTION OR INJECTION

An approximate numerical solution for the steady MHD laminar boundary-layer flow over a wall of the wedge with suction or injection in the presence of species concentration and mass diffusion has been obtained by solving the governing equations using R.K.Gill method.The fluid is assumed to be viscous and electrically conducting Boussinesq fluid. A magnetic field is applied transversely to the direction of the flow. Numerical calculations up to third level of truncation are carried out for different values of dimensionless parameters and an analysis of the results obtained shows that the flow field is influenced appreciably by the magnetic field,chemical reaction and suction or injection at the wall of the wedge

Nanoparticle volume fraction with heat and mass transfer on MHD mixed convection flow in a nanofluid in the presence of thermo-diffusion under convective boundary condition

This article examines the influence of thermophoresis, Brownian motion of the nanoparticles with variable stream conditions in the presence of magnetic field on mixed convection heat and mass transfer in the boundary layer region of a semi-infinite porous vertical plate in a nanofluid under the convective boundary conditions. The transformed boundary layer ordinary differential equations are solved numerically using Maple 18 software with fourth-fifth order Runge–Kutta–Fehlberg method. Numerical results are presented both in tabular and graphical forms illustrating the effects of these parameters with magnetic field on momentum, thermal, nanoparticle volume fraction and solutal concentration boundary layers. The numerical results obtained for the velocity, temperature, volume fraction, and concentration profiles reveal interesting phenomenon, some of these qualitative results are presented through plots. It is interesting to note that the magnetic field plays a dominant role on nanofluid flow under the convective boundary conditions.

Thermal Stratification Effects on Hiemenz Flow of Nanofluid Over a Porous Wedge Sheet in the Presence of Suction/Injection Due to Solar Energy: Lie Group Transformation

The objective of the present work is to investigate theoretically the Hiemenz flow and heat transfer of an incompressible viscous nanofluid past a porous wedge sheet in the presence of thermal stratification due to solar energy (incident radiation). The wall of the wedge is embedded in a uniform Darcian porous medium to allow for possible fluid wall suction or injection and has a power–law variation of the wall temperature. The partial differential equations governing the problem under consideration are transformed by a special form of Lie symmetry group transformations viz., one-parameter group of transformation into a system of ordinary differential equations which are solved numerically by Runge–Kutta–Gill-based shooting method. The conclusion is drawn that the flow field and temperature are significantly influenced by convective radiation, thermal stratification, buoyancy force, and porosity of the sheet.

Laminar boundary layer flow of a nanofluid along a wedge in the presence of suction/injection

The behavior of an incompressible laminar boundary layer flow over a wedge in a nanofluid with suction or injection has been investigated. The model used for the nanofluid integrates the effects of the Brownian motion and thermophoresis parameters. The governing partial differential equations of this problem, subjected to their boundary conditions, are solved by the Runge-Kutta-Gill technique with the shooting method for finding the skin friction and the rate of heat and mass transfer. The result are presented in the form of velocity, temperature, and volume fraction profiles for different values of the suction/injection parameter, Brownian motion parameter, thermophoresis parameter, pressure gradient parameter, Prandtl number, and Lewis number. The conclusion is drawn that these parameters significantly affect the temperature and volume fraction profiles, but their influence on the velocity profile is comparatively smaller.

Thermal stratification effects on non linear MHD laminar boundary—layer flow over a wedge with suction or injection

An approximate numerical solution for thermal stratification on MHD steady laminar boundary-layer flow over a wall of the wedge with suction or injection. The fluid is assumed to be viscous and electrically conducting Boussinesq fluid. A magnetic field is applied transversely to the direction of the flow. The governing partial differential equations of the problem subject to their boundary conditions are solved using R.K.Gill numerical method. Numerical calculations up to third level of truncation are carried out for different values of dimensionless parameters in the problem

Soret and dufour effects on MHD free convective heat and mass transfer with thermophoresis and chemical reaction over a porous stretching surface: Group theory transformation

The group theoretic method is applied for solving the problem of the combined influence of the thermal diffusion and diffusion thermoeffect on magnetohydrodynamic free convective heat and mass transfer over a porous stretching surface in the presence of thermophoresis particle deposition with variable stream conditions. The application of one-parameter groups reduces the number of independent variables by one; consequently, the system of governing partial differential equations with boundary conditions reduces to a system of ordinary differential equations with appropriate boundary conditions. The equations along with the boundary conditions are solved numerically by using the Runge-Kutta-Gill integration scheme with the shooting technique. The impact of the Soret and Dufour effects in the presence of thermophoresis particle deposition with a chemical reaction plays an important role on the flow field.

Fuzzy Entire Sequence Spaces

We first investigate the notion of fuzzy entire sequence space with a suitable example. Also we deal with the properties of the space of fuzzy entire sequences. The concepts of subset and superset of the fuzzy entire sequence spaces are introduced and their properties are discussed.

Thermophoresis and Chemical Reaction Effects on MHD Mixed Convective Heat and Mass Transfer Past a Porous Wedge with Variable Viscosity in the Presence of Viscous Dissipation

An analysis is presented to investigate the effects of thermophoresis and variable viscosity on MHD mixed convective heat and mass transfer of a viscous, incompressible and electrically conducting fluid past a porous wedge in the presence of chemical reaction. The wall of the wedge is embedded in a uniform porous medium in order to allow for possible fluid wall suction or injection. The governing boundary layer equations are written into a dimensionless form by similarity transformations. The transformed, coupled, nonlinear ordinary differential equations are solved numerically by using the R.K. Gill and shooting methods. Favorable comparison with previously published work is performed. Numerical results for the dimensionless velocity, temperature, and concentration profiles as well as for the skin friction, heat and mass transfer, and deposition rate are obtained and displayed graphically for pertinent parameters to show interesting aspects of the solution.

Chemical reaction on non-linear boundary layer flow over a porous wedge with variable stream conditions

An analysis is presented to investigate the effects of variable viscosity and thermal stratification on non-Darcy MHD mixed convective heat and mass transfer of a viscous, incompressible, and electrically conducting fluid past a porous wedge in the presence of chemical reaction. The wall of the wedge is embedded in a uniform non-Darcian porous medium in order to allow for possible fluid wall suction or injection. The governing partial differential equations of the problem, subjected to their boundary conditions, are solved numerically by applying an efficient solution scheme for local nonsimilarity boundary layer analysis. Numerical calculations up to third-order level of truncation are carried out for different values of dimensionless parameters. The results are presented graphically, and the conclusion is drawn that the flow field and other quantities of physical interest are significantly influenced by these parameters. The results are compared with those known from the literature, and excellent agreement between the results is obtained.