Open Access

ARTICLE

EFFECT OF HALL CURRENT ON MHD NATURAL CONVECTION HEAT AND MASS TRANSFER FLOW OF ROTATING FLUID PAST A VERTICAL PLATE WITH RAMPED WALL TEMPERATURE

Gauri Shanker Seth^*, Arnab Bhattacharyya, Rajat Tripathi

Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, Jharkhand, 826004, India

* Corresponding Author: Email:

Frontiers in Heat and Mass Transfer 2017, 9, 1-12. https://doi.org/10.5098/hmt.9.21

Abstract

A study on unsteady MHD natural convection flow of an optically thin, heat radiating, incompressible, viscous, chemically reactive, temperature dependent heat absorbing 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 stress at the plate, rate of heat and mass transfers at the plate are also derived. Numerical results for the velocity, temperature and species concentration of the fluid are demonstrated with the help of graphs whereas those of shear stress at the plate, rate of heat and mass transfers 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.

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