Hydromagnetic thermo-solutal reactive dissipative peristaltic transport of a couple stress fluid in a porous medium microchannel with convective boundary conditions, joule heating and entropy generation

Beg, OA; Siva, EP; Tripathi, D; Shankar, G; Bathmanaban, P; Deepalakshmi, P

Abstract

As a model for hazardous material pumps, this article examines the magnetohydrodynamic
chemically reacting thermo-solutal peristaltic transport of a non-Newtonian couple stress fluid
through a microchannel containing a porous medium. The effects of thermal radiative heat
transfer, Joule heating, Soret thermo-diffusion, viscous dissipation and heat
generation/absorption are also included. The microchannel walls have convection boundary
conditions and sinusoidal peristaltic waves are considered. The conservation equations for
mass, momentum, energy and concentration are simplified via lubrication approximations. The
moving boundary value problem is rendered dimensionless and solved analytically. Numerical
evaluations of the axial velocity, temperature and concentration are conducted in MATLAB.
Bejan number is enhanced with couple stress (non-Newtonian) parameter, mean flow rate and
Brinkman number. Temperatures are boosted with Hartmann (magnetic) number and
Brinkman number but suppressed with couple stress parameter. Entropy generation parameter
is reduced with increment in couple stress parameter and radiation parameter whereas it is
boosted with Brinkman number. Pressure gradient is enhanced with increment in Hartmann
(magnetic) number but depleted with Darcy number and couple stress parameter.
Concentration is strongly reduced in the core zone of the channel with increment in Soret
number, Brinkman number, Hartmann number, mass Biot number and Schmidt number, but
increased with chemical reaction parameter. Nusselt number magnitudes are elevated with
thermal Biot number, Brinkman number, couple stress parameter and magnetic parameter but
2
are reduced with increasing radiation parameter. A substantial modification in bolus size is
induced with increasing Hartmann number, Darcy number and couple stress parameter.

• Journal Article Type: Article
• Acceptance Date: Jul 16, 2022
• Deposit Date: Aug 22, 2022
• Journal: Special Topics & Reviews in Porous Media - An International Journal
• Print ISSN: 2151-4798
• Electronic ISSN: 2151-562X
• Publisher: Begell House