Numerical Study of Heat and Mass Transfer in a Transient Third Grade Fluid Flow in the Presence of Heat Source, Chemical Reaction and Thermal Radiation

Abstract

This paper investigates the combined influence of internal heat generation, suction, thermal radiation and chemical reaction of n order on an unsteady free convective heat and mass transfer flow of a chemically reactive third grade fluid over an infinite vertical porous plate with an oscillating temperature applied to the plate. The dimensionless partial differential equations governing this investigation are solved numerically by employing Crank-Nicolson finite difference scheme with modified Newton's iterative technique. Graphical results obtained for velocity, temperature and species concentration profiles are presented and discussed. The results show that the profiles are appreciably influenced by the suction, heat generation/absorption, thermal radiation, order of chemical reaction and viscoelastic parameters. The findings depict that the suction parameter has the influence of reducing velocity, temperature and species concentration fields. The fluid velocity increases as the value of the second grade viscoelastic parameter increases. Also, the third grade viscoelastic parameter has a significant effect on the velocity profiles. Finally, an increase in the thermal radiation parameter decreases the velocity distribution of flow field but it increases the temperature distribution