S. Vijaya Kumar Varma

Aligned magnetic effects through varying permeable bed

The aligned magnetic effects on a steady laminar, viscous, incompressible, conducting fluid down an open inclined channel bounded below by a bed of varying permeability has been studied when the free surface is exposed to atmospheric pressure. Beavers and Joseph slip condition at the interface of the free flow region and the fluid flow in the porous bed and the Darcy’s law in the porous medium have been used. The expressions for velocity, magnetic strength and the mass flow across the cross-section of the channel are obtained.

MHD Free Convection Flow Past an Exponentially Accelerated Inclined Plate Embedded in Porous Medium

The consequences of radiation absorption and chemical reaction in the presence of heat generation on a MHD unsteady laminar flow with mass and heat transfer of an electrically conducting, incompressible, and viscous fluid over an accelerated exponentially inclined vertical moving porous plate in a porous medium are analyzed in closed form. A perfect solution for this flow problem was obtained by resolving the resulting governing equations by the technique of Laplace transforms. The exact solutions for profiles of concentration, temperature, velocity, and the gradient of velocity are presented, and the effects of these profiles for several values of various arguments are discussed through graphs.

Unsteady Hydromagnetic Boundary Layer Flow of a Nanofluid over a Stretching Sheet: Using Cattaneo-Christov Heat Flux Model

The present investigation has put a focus on the hydromagnetic boundary layer unsteady flow of a nanofluid over a stretching sheet. A new heat flux model named Cattaneo-Christov is applied as the substitution of classical Fourier’s law. Buongiorno’s model is incorporated. The coupled non-linear transformed equations are solved numerically by using shooting technique with MATLAB bvp4c package. The obtained results are presented and discussed through graphs and tables in detail. Our results reveal that the unsteady parameter reduces all the three boundary layer thickness. The thermal relaxation parameter exhibits a non-conducting nature that makes the decline in fluid temperature.

MHD Reacting and Radiating 3-D Flow of Maxwell Fluid Past a Stretching Sheet with Heat Source/Sink and Soret Effects in a Porous Medium

In this study, we numerically investigate the hydromagnetic three dimensional flow of a radiating Maxwell fluid over a stretching sheet embedded in a porous medium with heat source/sink, first ordered chemical reaction and Soret effect. The corresponding boundary layer equations are reduced into set of non-linear ordinary differential equations by means of similarity transformations. The resulting coupled non-linear equations are solved numerically by employing boundary value problem default solver in MATLAB bvp4c package. The obtained results are presented and discussed through graphs and tables. It is noticed that the Deborah number reduces the velocity fields and improves the temperature and concentration fields. Nomenclature

Soret and Dufour Effects on MHD Boundary Layer Flow Past a Stretching Plate

The Soret and Dufour on magnetohydrodynamic (MHD) laminar boundary layer flow past stretching plate with heat and mass transfer are studied. The governing partial differential equations are transformed into ordinary differential equations before being solved numerically by a fourth order Runga-Kutta method along with shooting technique. Numerical results are obtained for the skin-friction coefficient, the local Nusselt number and local Sherwood number as well as the velocity, temperature and concentration profiles for different values of the governing parameters, namely, the magnetic parameter, Soret number, Dufour number, Schmidt number and Prandtl number. The numerical results are compared to those of an earlier study and found to be in excellent agreement.