NUMERICAL SIMULATION OF MHD FLUID FLOW OVER AN IMPULSIVELY STARTED FLAT PLATE WITH SURFACE EMBEDDED IN A NON-DARCIAN POROUS MEDIUM
MD. MIZANUR RAHMAN *
Department of Mathematics, Faculty of Applied Science and Technology, Islamic University, Kushtia, Bangladesh
BAYEZEEDUR RAHMAN KHAN
Mathematics Discipline, Science and Engineering and Technology School, Khulna University, Khulna, Bangladesh.
MST. JESMIN ARA
Department of Political Science, National University, Dhaka, Gazipur, Bangladesh.
MD. RAFIQUL ISLAM
Mathematics Discipline, Science and Engineering and Technology School, Khulna University, Khulna, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
The MHD fluid flow over an impulsively started flat plate with surface embedded in a non-darcian porous medium in the presence of radiation, chemical reaction, heat generation and Soret effect is investigated. To obtain the non-similar momentum equation, energy equation and concentration equation, usually non-dimensional variables have been used. The governing equations of the problem contain a system of partial differential equations. A finite difference technique is used to solve the obtained non-similar, coupled, non-linear partial differential non-dimensional equations. The effects of various physical parameters on the velocity, temperature and concentration fields across the boundary layer are investigated. Finally, a qualitative comparison with previous published work is shown in tabular form.
Keywords: Non-darcian porous medium, thermal radiation, chemical reaction, soret effect, heat generation, finite difference method