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1

Cross-diffusion effects on MHD mixed convection over a stretching surface in a porous medium with chemical reaction and convective condition

Bhuvaneswari Marimuthu, Eswaramoorthi Sheniyappan, Sivasankaran Sivanandam, Hussein Ahmed Kadhim

Engineering Transactions

|

2019

|

Vol. 67, iss. 1

3--19

EN

In this paper, we investigate the Dufour and Soret effects on MHD mixed convection of a chemically reacting fluid over a stretching surface in a porous medium with convective boundary condition. The similarity transformation is used to reduce the governing non-linear partial differential equations into ordinary differential equations. Then, they are solved analytically by using the homotopy analysis method (HAM) and are solved numerically by the Runge-Kutta fourth-order method. The analytical and numerical results for the velocity, temperature, concentration, skin friction, Nusselt number and Sherwood number are discussed.

2

Eﬀects of variable viscosity on natural convection ﬂow of an optically thick gray gas past a horizontal surface in the presence of internal heat generation

Kannan T., Malleswaran A., Moorthy M. B. K.

Transactions of the Institute of Fluid-Flow Machinery

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2018

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nr 139

3--22

EN

A numerical investigation to discuss the eﬀects of radiation and variable viscosity on heat and mass transfer characteristics of natural convection over a horizontal surface embedded in a saturated porous medium in the presence of internal heat generation is carried out in this study. The working ﬂuid for the investigation is optically thick gray gas. The Dufour and Soret eﬀects are also taken into account. Similarity transformations are employed to obtain nonlinear ordinary diﬀerential equations from the governing equations of the present problem. The numerical results for the transformed governing equations are computed by using commercial boundary value problem solver for ordinary diﬀerential equations. The eﬀects are discussed by varying the parameters such as radiation, Dufour and Soret numbers, buoyancy ratio, Prandtl number, Schmidt number, and variable viscosity. Presence of internal heat generation enhances the velocity proﬁle and signiﬁcantly decreases the concentration boundary layer thickness. On increasing ﬂuid radiation, the temperature of the ﬂuid is higher than that of the surface and the concentration boundary layer thickness decreases away from the surface.

3

Non-Darcy non-Newtonian free convection flow over a vertical plate under the influence of Soret and Dufour effect

Mahdy A.

International Journal of Applied Mechanics and Engineering

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2008

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Vol. 13, no 4

1125-1132

EN

A non-similar boundary layer analysis is carried out to study the effect of Soret and Dufour on heat and mass transfer for a power-law, non-Newtonian fluid. Thermo-diffusion implies that the heat transfer is induced by concentration gradient, and thermo-diffusion implies that the mass diffusion is induced by thermal gradient. The resultant governing boundary-layer equations, highly non-linear and a coupled form of partial differential equations have been solved by employing a numerical, Runge-Kutta fourth order technique with a modified version of the Newton-Raphson shooting method. A parametric study of all parameters involved is conducted, and a representative of the results for the velocity, temperature, concentration profiles as well as the Nusselt and the Sherwood numbers are illustrated graphically to elucidate interesting features of the solutions.

4

Dufour and soret effects on steady free convection and mass transfer flow past a semi-infinite vertical porous plate in a porous medium

Alam M. S., Ferdows M., Ota M., Maleque M. A.

International Journal of Applied Mechanics and Engineering

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2006

|

Vol. 11, no 3

535-545

EN

Steady two-dimensional free convection and mass transfer flow past a continuously moving semi-infinite vertical porous plate in a porous medium is studied theoretically, by taking into account the Dufour and Soret effects. The similarity equations of the problem considered are obtained by using usual similarity technique. The resulting equations are then solved numerically by shooting method using Runge-Kutta sixth-order integration scheme. The non-dimensional velocity, temperature and concentration profiles are displayed graphically for different values of the parameters entering into the problem. In addition, the skin-friction coefficient, the Nusselt number and Sherwood number are shown in tabular form.