Abstract—The effects of g-jitter induced and combined with heat and mass transfer by mixed convection in microgravity situation on MHD flow second grade fluid in porous space is investigated for a particular system. This system consists of two heated vertical parallel infinite flat plates held at constant but different temperatures and concentrations. By using modified Darcy’s law, the equations governing the flow are modelled. These equations are solved analytically for the induced velocity, temperature and concentration distributions. Similar result in the relevant literature relating to Newtonian fluid is also obtained as a special case of the present solution. Finally particular attention is given to the graphical results for the velocity profiles of the oscillating flow in the channel. The analysis on the variations of embedded flow parameters in the solution expressions are presented and discussed.

Index Terms—G-jitter, heat and mass transfer, mixed convection, second grade fluid; porous medium.

Faisal Salah is with the Department of Mathematics, Faculty of Science, University of Kordofan, Elobid, 51111, Sudan. He is also with UTM Centre for Industrial and Applied Mathematics Ibnu Sina Institute for Scientific and Industrial Research, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia.
Z. A. Aziz and K. K. Viswanathan are with UTM Centre for Industrial and Applied Mathematics Ibnu Sina Institute for Scientific and Industrial Research, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia. They are also with the Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 UTM Johor Bahru, Johor, Malaysia (email: visu20@yahoo.com).

Cite: Faisal Salah, Z. A. Aziz, K. K. Viswanathan, "Effects of G-Jitter Combined with Heat and Mass Transfer by Mixed Convection MHD Flow of a Second Grade Fluid in a Porous Medium," International Journal of Applied Physics and Mathematics vol. 5, no. 4, pp. 234-242 , 2015.