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Magnetohydrodynamic flow around an elongated cylinder in non-Darcian porous regime with higher order chemical reaction and Soret/Dufour effects

Das Utpal Jyoti, Begum Jubi

International Journal of Applied Mechanics and Engineering

2023

Vol. 28, no. 1

11--22

Here, we consider magnetohydrodynamic flow of an incompressible, time independent fluid past an elongated cylinder surrounded in a non-Darcian porous regime with magnetic flux supplied at an acute angle. The Soret/Dufour effects and the higher order chemical reactions are also included in the present study. The subsequent governing equations are resolved using the MATLAB-bvp4c method. The flow velocity appears to decrease with the growth of the Reynolds number, inertia parameter, magnetic field and angle of inclination of the magnetic flux, but improves with the Darcy number. The inertia parameter enhances the fluid temperature and skin friction. Further order of chemical reaction, Soret/ Dufour number plays a significant role in the system.

Combined effects of Soret and Dufour on MHD flow of a power-law fluid over flat plate in slip flow rigime

Saritha K., Rajasekhar M. N., Reddy B. S.

International Journal of Applied Mechanics and Engineering

2018

Vol. 23, no. 3

689--705

A numerical model is developed to study the Soret and Dufour effects on MHD boundary layer flow of a power-law fluid over a flat plate with velocity, thermal and solutal slip boundary conditions. The governing equations for momentum, energy and mass are transformed to a set of non-linear coupled ordinary differential equations by using similarity transformations. These non-linear ordinary differential equations are first linearized using a quasi-linearization technique and then solved numerically based on the implicit finite difference scheme over the entire range of physical parameters with appropriate boundary conditions. The influence of various governing parameters along with velocity, thermal and mass slip parameters on velocity, temperature and concentration fields are examined graphically. Also, the effects of slip parameters, the Soret and Dufour number on the skin friction, Nusselt number and Sherwood number are studied. Results show that the increase in the Soret number leads to a decrease in the temperature distribution and to an increase in concentration fields.

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

2008

Vol. 13, no 4

1125-1132

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.