Bhupendra Kumar Sharma

Combined heat and mass transfer by laminar mixed convection flow from a vertical surface with induced magnetic field

The mixed convection flow over a continuously moving porous vertical plate under the combined buoyancy effects of thermal and mass diffusion has been studied under the action of transverse applied magnetic field taking into account the induced magnetic field, when the plate is subjected to constant heat and mass fluxes. Solutions for the velocity field, temperature distribution, concentration distribution, induced magnetic field and current density are obtained using perturbation technique. Expressions for shear stress, Nusselt number and Sherwood number are also obtained. Its apparent that the effect of Grashof number (Gr) on temperature distribution is significantly greater than the magnetic parameter and Schmidt number and the temperature distribution remains more for Gr 0 for both air and water. It is found that the shear stress decreases with increasing Prandtl number (Pr).

Effects of chemical reaction on magneto-micropolar fluid flow from a radiative surface with variable permeability

Abstract This paper presents a study of a hydromagnetic free convection flow of an electrically conducting micropolar fluid past a vertical plate through a porous medium with a heat source, taking into account the homogeneous chemical reaction of first order. A uniform magnetic field has also been considered in the study which acts perpendicular to the porous surface of the above plate. The analysis has been done by assuming varying permeability of the medium and the Rosseland approximation has been used to describe the radiative heat flux in the energy equation. Numerical results are presented graphically in the form of velocity, micro- rotation, concentration and temperature profiles, the skin-friction coefficient, the couple stress coefficient, the rate of heat and mass transfers at the wall for different material parameters. The study clearly demonstrates how a chemical reaction influences the above parameters under given conditions

Mathematical Modeling of Magneto Pulsatile Blood Flow Through a Porous Medium with a Heat Source

Abstract In the present study a mathematical model for the hydro-magnetic non-Newtonian blood flow in the non-Darcy porous medium with a heat source and Joule effect is proposed. A uniform magnetic field acts perpendicular to the porous surface. The governing non-linear partial differential equations have been solved numerically by applying the explicit finite difference Method (FDM). The effects of various parameters such as the Reynolds number, hydro-magnetic parameter, Forchheimer parameter, Darcian parameter, Prandtl number, Eckert number, heat source parameter, Schmidt number on the velocity, temperature and concentration have been examined with the help of graphs. The present study finds its applications in surgical operations, industrial material processing and various heat transfer operations.

Electronic and structural properties of MgB2 by the linear combination of atomic orbitals method

In this paper theoretical calculations of electronic and structural properties, namely Compton profiles and structure factors of MgB2, are presented. The calculations are performed using periodic linear combination of atomic orbitals method. Exchange and correlation has been treated under the Perdew–Wang generalized gradient approximation (PW-GGA) and the hybrid Becke-3-Lee-Yang-Parr (B3LYP) schemes. The Compton profiles at 15, 55, and 293 K are calculated by considering only the thermal expansion of the lattice keeping all other computational parameters identical. The calculated Compton profiles have been compared with the published experimental data measured using synchrotron radiation. The calculated profiles under the PW-GGA scheme are well in accordance with the measurements. The best agreement at the level of first and second order derivatives of Compton profiles has, however, been found with the B3LYP hybrid function. In the superconducting state the momentum density shows sharper changes than the ...

Effect of Variable Viscosity on MHD Inclined Arterial Blood Flow with Chemical Reaction

Abstract In this paper, we present the mathematical study of heat and mass transfer effects on an arterial blood flow under the influence of an applied magnetic field with chemical reaction. A case of mild stenosis is considered in a non-tapered artery which is inclined at an angle γ from the axis. The variable viscosity of the blood is considered varying with the hematocrit ratio. Governing non-linear differential equations have been solved by using an analytical scheme, homotopy perturbation method to obtain the solution for the velocity, temperature and concentration profiles of the blood flow. For having an adequate insight to blood flow behavior through a stenosed artery, graphs have been plotted for wall shear stress, velocity, temperature and concentration profiles with varying values of the applied magnetic field, chemical reaction parameter and porosity parameter. The results show that in an inclined artery, the magnitude of the wall shear stress at stenosis throat increases as values of the applied magnetic field increase while it reduces as the values of both the chemical reaction and porosity parameters increase. Contour plots have been plotted to show the variations of the velocity profile of blood flow as the values of the height of the stenosis as well as the influence of the applied magnetic field increase.

Role of Slip Velocity in a Magneto-Micropolar Fluid Flow from a Radiative Surface with Variable Permeability: A Numerical Study

Abstract An analysis is presented to describe the hydromagnetic mixed convection flow of an electrically conducting micropolar fluid past a vertical plate through a porous medium with radiation and slip flow regime. A uniform magnetic field has been considered in the study which absorbs the micropolar fluid with a varying suction velocity and acts perpendicular to the porous surface of the above plate. The governing non-linear partial differential equations have been transformed into linear partial differential equations, which are solved numerically by applying the explicit finite difference method. The numerical results are presented graphically in the form of velocity, micro-rotation, concentration and temperature profiles, the skin-friction coefficient, the couple stress coefficient, the rate of heat and mass transfers at the wall for different material parameters.