HOMOTOPY ANALYSIS METHOD TO HEAT AND MASS TRANSFER IN VISCO-ELASTIC FLUID FLOW THROUGH POROUS MEDIUM OVER EXPONENTIAL STRETCHING SHEET WITH RADIATION AND CHEMICAL REACTION
HYMAVATHI TALLA *
Department of Mathematics, Adikavi Nannaya University, Rajamahendravaram, A.P., India.
*Author to whom correspondence should be addressed.
Abstract
This paper elucidates the radiation and chemical reaction in heat and mass transfer of steady incompressible visco- elastic fluid flow over an exponentially stretching sheet through porous medium. The flow and heat transfer governing equations are partial differential equations and are converted into nonlinear ordinary differential equation by using suitable similarity transformations. The converted non linear ordinary differential equations are solved analytically by Homotopy Analysis Method (HAM), which provides a convergent solution with the help of control and convergence non-zero auxiliary parameter ћ. The effect of Prandtl number, Eckert number, Reaction parameter and Schmidt number on temperature and concentration are represented through graphically. The obtained results are compared with existing results in the literature and seen in good agreement.
Keywords: Heat and mass transfer, visco-elastic fluid, porous medium, radiation, chemical reaction, HAM.