Document Type : Original Article
Authors
1
Department of Mathematics, Faculty of Science, Ain shams University, Abbasiya, Egypt
2
Mathematics Department, Faculty of Education, Ain Shams University, Cairo, Egypt
3
Ain Shams University
4
Department of mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt.
Abstract
This study has significant applications in an intra-uterine fluid motion with tiny particles in a non-pregnant uterus, and this situation is vital in inspecting the embryo motion in the uterus. This paper presents the influence of chemical reaction and activation energy on peristaltic flow of MHD hyperbolic tangent nanofluid with heat and mass transfer through a non-Darcy porous medium in an inclined tapered asymmetric channel with different wave forms. Brownian motion, thermophoresis, viscous dissipation, couple stresses, Joule heating, Hall currents, radiation, heat generation/absorption, and thermal diffusion and diffusion thermo effects are involved. The coupled non-linear equations that govern the flow are simplified by using the long wavelength and low Reynolds number approximations. Then, an analytical method called homotopy perturbation method (HPM) have been used to solve the simplified equations. Graphical results are obtained to examine the behaviour of various parameters on the velocity, temperature, and nanoparticle concentration distributions. Graphical representations of heat transfer coefficient, Nusselt number, Sherwood number and entropy generation are sketched. Physical explanations for the results are provided. Findings revealed that Weissenberg number We has a dual behaviour on the velocity, temperature, and nanoparticle concentration profiles. The chemical reaction parameter ξ, activation energy parameter E, and temperature difference parameter ρ_1 enhances the velocity, temperature, and nanoparticle concentration profiles.
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