Joule heating and induced magnetic field on magnetohydrodynamic generalised Couette flow of Jeffrey fluid in an inclined channel with Soret and Dufour effects

Abstract

In this study, the influence of Joule heating and induced magnetic field on magnetohydrodynamics generalised Couette flow of Jeffrey fluid in an inclined channel through a porous medium with Soret and Dufour effects has been investigated. The mathematical model in Cartesian coordinate system takes into account the effect of viscous dissipation. The nonlinear partial differential equations governing the flow are approximated numerically using the finite difference method. The profiles of the flow variables such as velocity, induced magnetic field, thermal field and concentration field are studied and the results are presented through graphs. The values for Sherwood number, Nusselt number and skin friction coefficient are computed and represented in tabular form. Concentration field grows with an increment of the Soret number. Velocity profiles grow significantly with larger values of inclination angle. Also, increasing Joule heating parameter leads to rise in the thermal field. The rate of mass transfer grows significantly with increasing the values of Soret number. The skin friction coefficient increases with raising the values of Dufour number and Joule heating parameter. The findings of this study are useful due to its application in the biological, natural and industrial systems.

Keywords:

• Jeffrey fluid
• MHD
• induced magnetic field
• finite difference method
• generalised Couette flow

Acknowledgments

The authors wish to express their very sincere thanks to anonymous reviewers for their valuable comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the author(s).