Activation energy study for peristaltically driven divergent flow with radiation effect

Abstract

The central goal of the current research work is to develop a mathematical model by which we evaluate the influence of mixed convection on the flow rate, temperature profile and concentration rate in the occurrence of radiation and concentration impact respectively, through asymmetric divergent channel. The obtained resultant mathematical equations are transformed into system of first order differential equation by applying suitable transformation. Next we apply shooting method to calculated the numerical solutions with the help of MATLAB. Furthermore we graphically analysis the impact of geometry parameter a, Grashof number Gr and modified Grashof number Br on velocity profile. Also, we discuss the impact of heat generation parameter M and Prandtl number Pr on thermal profile. Moreover, we interpreter the consequence of activation energy E and temperature difference parameter Ω on concentration profile. Velocity profile u(y) reduces by enlarging geometry parameter a, velocity profile u(y) gives opposite performance for high value of Grashof Gr and modified Grashof numbers Br, temperature profile grows for large values of Prandtl numbers Pr and heat generation parameter M and concentration profile shows prominent impact more large values of activation energy and decreases for high values of difference parameter.