MHD Flow Heat and Mass Transfer of Micropolar Fluid over a Nonlinear Stretching Sheet with Variable Micro Inertia Density, Heat Flux and Chemical Reaction in a Non-darcy Porous Medium


1 Department of General Studies, Jubail University College, Jubail, Saudi Arabia.

2 Department of Mathematics, Regional Institute of Education, Bhubneswar (NCERT), India

3 Department of Mathematics, Indian Institute of Technology, Roorkee - 247667, India.


This paper investigates the two dimensional flow, heat and mass transfer of chemically reacting Micropolar fluid over a non-linear stretching sheet with variable heat flux in a non-darcy porous medium. The rate of chemical reaction is assumed to be constant throughout the fluid i.e. homogenous. Using a similarity transformation, the governing partial differential equations are transformed into a system of ordinary differential equation, which is then solved using Finite element method. Numerical results regarding local Nussult No. are shown graphically with Magnetic number (ܰ݉௫) for variation in heat transfer exponent (n). This study also analyzes the effect of velocity exponent m, heat transfer exponent n, material parameter K, Magnetic Number(ܰ݉௫)Darcy NumberDax, Forchheimer Number Nfx, Prandtl number Pr, Schmidt Number Sc and Chemical reaction rate parameter x on velocity, microrotation, temperature and concentration profiles. Velocity exponent m has a positive effect on the velocity, temperature and concentration profiles while microrotation decreases as m increases. Graphical results shows that the thermal boundary layer thickness decreases at and near the wall with the increase in heat flux exponent n. Also an increase in K leads to a decrease in skin friction parameter as well as the wall couple stress.