Author(s)

Ariful Islam^1*, Muhammad Minarul Islam², Mahabur Rahman¹, Lasker Ershad Ali¹, Md. Shakhaoath Khan³

¹Mathematics Discipline, Khulna University, Khulna, Bangladesh.
²Bangabandhu Sheikh Mujibur Rahman Science & Technology University, Gopalgonj, Bangladesh.
³Discipline of Chemical Engineering, University of Newcastle, Callaghan, Australia.

Because of the great importance of thermal instability in nature, in chemical processes, in separation processes, in industrial applications as well as in geophysical and astrophysical engineering, the effect of thermal diffusion on the combined MHD heat transfer in an unsteady flow past a continuously moving semi-infinite vertical porous plate which is subjected to constant heat has been investigated numerically under the action of strong applied magnetic field taking into account the induced magnetic field. This study is performed for cooling problem with lighter and heavier particles. Numerical solutions for the velocity field, induced magnetic field as well as temperature distribution are obtained for associated parameters using the explicit finite difference method. The obtained results are also discussed with the help of graphs to observe effects of various parameters on the above mentioned quantities.

Heat Transfer, Porous Medium, Induced Magnetic Field, Finite Difference Method

Islam, A. , Islam, M. , Rahman, M. , Ali, L. and Khan, M. (2016) Unsteady Heat Transfer of Viscous Incompressible Boundary Layer Fluid Flow through a Porous Plate with Induced Magnetic Field. Journal of Applied Mathematics and Physics, 4, 294-306. doi: 10.4236/jamp.2016.42037.