Gauri Shanker Seth, Arnab Bhattacharyya, Rajat Tripathi

Frontiers in Heat and Mass Transfer (FHMT) 9 - 21 (2017)

A study on unsteady MHD natural convection flow of an optically thin, heat radiating, incompressible, viscous, chemically reactive, temperature dependent heat absorbing/ generating and electrically conducting fluid past an exponentially accelerated infinite vertical plate having ramped temperature, embedded in a porous medium is carried out, considering the effects of Hall current and rotation. Governing equations are non-dimensionalized and Laplace Transform Technique is used to find the exact solutions for non-dimensional velocity, temperature and concentration fields. The quantities of physical interest i.e. shear stresses, rates of heat and mass transfer at the plate are also calculated. Numerical results for the velocity, temperature and species concentration of the fluid are demonstrated with the help of graphs whereas those of shear stresses, rates of heat and mass transfer at the plate are displayed in Tables for various flow parameters. It is observed that fluid velocities as well as fluid temperature profiles are slower in case of ramped temperature plate than those of isothermal plate.