Thermal Diffusion and Diffusion Thermo Effects on MHD Thermosolutal Marangoni Convection Boundary Layer Flow over a Permeable Surface

Author:

Hamid R. A.1,Wan Zaimi W. M. K. A.1,Arifin N. M.2,Bakar N. A. A.1,Bidin B.1

Affiliation:

1. Institute of Engineering Mathematics, Universiti Malaysia Perlis, Taman Bukit Kubu Jaya, Jalan Sarawak, 02000 Kuala Perlis, Malaysia

2. Institute for Mathematical Research and Department of Mathematics, Universiti Putra Malaysia, 43400 Serdang, Malaysia

Abstract

The problem of thermal diffusion and diffusion thermo effects on thermosolutal Marangoni convection flow of an electrically conducting fluid over a permeable surface is investigated. Using appropriate similarity transformations, the governing system of partial differential equation is transformed to a set of nonlinear ordinary differential equations, then solved numerically using the Runge-Kutta-Fehlberg method. The effects of thermal diffusion and diffusion thermo, magnetic field parameter, thermosolutal surface tension ratio, and suction/injection parameter on the flow field, heat transfer characteristic, and concentration are thoroughly examined. Numerical results are obtained for temperature and concentration profiles as well as the local Nusselt and Sherwood numbers are presented graphically and analyzed. It is found that these governing parameters affect the variations of the temperature and concentration and also the local Nusselt and Sherwood numbers.

Funder

Ministry of Higher Education, Malaysia

Publisher

Hindawi Limited

Subject

Applied Mathematics

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