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Effect of electric field on dispersion of a solute in an MHD flow through a vertical channel with and without chemical reaction

Umavathi J. C., Kumar J. P., Gorla R. S. R., Gireesha B. J.

International Journal of Applied Mechanics and Engineering

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2016

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Vol. 21, no. 3

683--711

EN

The longitudinal dispersion of a solute between two parallel plates filled with two immiscible electrically conducting fluids is analyzed using Taylor’s model. The fluids in both the regions are incompressible and the transport properties are assumed to be constant. The channel walls are assumed to be electrically insulating. Separate solutions are matched at the interface using suitable matching conditions. The flow is accompanied by an irreversible first-order chemical reaction. The effects of the viscosity ratio, pressure gradient and Hartman number on the effective Taylor dispersion coefficient and volumetric flow rate for an open and short circuit are drawn in the absence and in the presence of chemical reactions. As the Hartman number increases the effective Taylor diffusion coefficient decreases for both open and short circuits. When the magnetic field remains constant, the numerical results show that for homogeneous and heterogeneous reactions, the effective Taylor diffusion coefficient decreases with an increase in the reaction rate constant for both open and short circuits.

2

Effects of magnetic field on stokes flow due to an oscillating wall under the fluid slip condition

Poria S.

International Journal of Applied Mechanics and Engineering

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2008

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Vol. 13, no 3

847-853

EN

In this paper we have studied the motion of an incompressible viscous conducting fluid about an harmonically oscillating vertical wall under fluid slip boundary condition at the wall and subjected to a uniform weak transverse magnetic filed. Effects of variations of the magnetic field and the slip parameter on the evolution of the velocity filed and shear stress are determined and discussed.

3

Mixed Convection on a Vertical Flat Plate with Variable Magnetic Field

Dimian M. F., Hadhoda M. Kh.

Mechanics and Mechanical Engineering

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2007

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Vol. 11, nr 1

97-112

EN

The steady laminar incompressible boundary layer mixed convection flow of an electrically conducting fluid on a vertical flat plate in the presence of an applied magnetic field has been studied. The effect of the induced magnetic field has been considered in the analysis. The resulting partial differential equations are transformed into a system of ordinary differential equations which have been solved numerically using shooting method. Two cases are considered here for the buoyancy force: (i) when it acts in the same direction as the forced flow (Tw > T∞), (ii) when it acts in the opposite direction to the forced flow (Tw < T∞). The velocity profiles, temperature profiles, the skin friction on the plate and the rate of heat transfer coeffcient (Nusselt number) are computed and discussed for different values of the magnetic force number β, the thermal buoyancy force ╏, reciprocal of the magnetic Prandtl number α and viscous dissipation parameter (Eckert number) Ec for the two cases.

4

Effects of free convection currents on the oscillatory flow of an electrically conducting fluid past a stationary or steadily moving vertical plate with variable suction and constant heat flux

Soundalgekar V. M., Wavre P. D., Takhar H. S.

International Journal of Applied Mechanics and Engineering

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2001

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Vol. 6, no 3

639-658

EN

An approximate analysis of a two-dimensional flow of an electrically conducting incompressible viscous fluid past an infinite porous plate, stationary or steadily moving in its own plane, is presented under the following conditions: i) suction velocity oscillates about a constant non-zero mean; ii) the free stream velocity oscillating in time about a constant mean; iii) constant heat flux at the plate; iv) presence of free convection currents due to the temperature difference; v) a uniform transverse magnetic field. Approximate solutions to coupled nonlinear equations governing the problem have been derived for the transient velocity, the transient temperature, the amplitude and the phase of the skin-friction and the Nusselt number. During the course of analysis, the effects of the Grashof number Gr, the magnetic field parameter M, the suction parameter A, the Eckert number E, the velocity of the plate V and the frequency 'omega' have been discussed.