MHD stagnation point flow by a permeable stretching cylinder with Soret-Dufour effects

M. Ramzan¹, M. Farooq², T. Hayat^{2, 3}, A. Alsaedi³, J. Cao^{3, 4}

(1. Department of Mathematics, Faculty of Computing, Mohammad Ali Jinnah University,
Islamabad Campus 44000, Pakistan;
2. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;
3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science,
King Abdulaziz University P. O. Box 80203, Jeddah 21589, Saudi Arabia;
4. Department of Mathematics and Research Center for Complex Systems and Network Sciences,
Southeast University, Nanjing 210096, China)

Abstract:Combined effects of Soret (thermal-diffusion) and Dufour (diffusion-thermo) in MHD stagnation point flow by a permeable stretching cylinder were studied. Analysis was examined in the presence of heat generation/absorption and chemical reaction. The laws of conservation of mass, momentum, energy and concentration are found to lead to the mathematical development of the problem. Suitable transformations were used to convert the nonlinear partial differential equations into the ordinary differential equations. The series solutions of boundary layer equations through momentum, energy and concentration equations were obtained. Convergence of the developed series solutions was discussed via plots and numerical values. The behaviors of different physical parameters on the velocity components, temperature and concentration were obtained. Numerical values of Nusselt number, skin friction and Sherwood number with different parameters were computed and analyzed. It is found that Dufour and Soret numbers result in the enhancement of temperature and concentration distributions, respectively.

Key words:stagnation point flow; Soret-Dufour effects; stretching cylinder; suction/injection; chemical reaction