Abstract

This article addresses the hemodynamic flow of biological fluid through a symmetric channel. Methachronal waves induced by the ciliary motion of motile structures are the main source of Couple stress nanofluid flow. Darcy’s law is incorporated in Navier-Stokes equations to highlight the influence of the porous medium. Thermal transport by the microscopic collision of particles is governed by Fourier’s law while a separate expression is obtained for net diffusion of nanoparticles by using Fick’s law. A closed-form solution is achieved of nonlinear differential equations subject to Newton’s boundary conditions. Moreover, the current findings are compared with previous outcomes for the limiting case and found a complete coherence. Parametric study reveals that nanoflow is resisted by employing Newton’s boundary conditions. Thermal profile enhancement is contributed by the viscous dissipation parameter. Finally, one infers that hemodynamic flow of non-Newtonian fluid is an effective mode of heat and mass transfer especially, in medical sciences for the rapid transport of medicines in drug therapy.

Highlights

  • This article addresses the hemodynamic flow of biological fluid through a symmetric channel

  • This segment of the article is furnished to carry out a comprehensive parametric study of heat and mass transfer of Couple stress fluid

  • The pertinent parameters which are taken into account are the porosity parameter m2, wave number b, velocity slip parameter m4, eccentricity parameter a, viscous heating parameter m5, Biot number m6, Schmidt number m7, Soret number m8, and Couple stress parameter m1: the flow dynamics of heated Couples stress nanofluid are compared with Newtonian nanofluid for the limiting case (m1 ! 0)

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Summary

Introduction

This article addresses the hemodynamic flow of biological fluid through a symmetric channel. An exact solution of a complex non-Newtonian fluid model is presented by Chu et al.[31] The study deals with the properties of thermal radiation, heat generation, and the effect of convective boundary conditions through a duct with the Rabinowitsch fluid. In another attempt, Chu et al.[32] have focused on minimizing the entropy production on Rabinowitsch fluid through a tilted channel. While in lateral case both viscosity and thermal conductivity vary

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