Heat transfer analysis for particle–fluid suspension thermomagnetohydrodynamic peristaltic flow with Darcy–Forchheimer medium

Abstract

This theoretical analysis explores the effect of heat and mass transfer on particle–fluid suspension for the Rabinowitsch fluid model with the stiffness and dynamic damping effects through Darcy–Brinkman–Forchheimer porous medium. In this study, we also incorporate slip and transverse magnetic field effects. Using low Reynolds number, to neglect inertial forces and to keep the pressure constant during the flow, channel height is used largely as compared with the ratio of length of the wave. A numerical technique is used to solve flow governing system of differential equations. Particular attention is paid to viscous damping force parameter, stiffness parameter, and rigidity parameter; also, the numerical data for thermal profile, momentum, and concentration distribution are presented graphically. Outcomes are deliberated in detail for different fluid models (thinning, thickening, and viscous models). It is found that velocity profile increases for greater values of viscous damping effect and stiffness and rigidity parameter for shear thinning, but conflicting comportment is showed for thickening nature model. Viscous dissipation effects increases the thermal profile for all cases of fluid models. The scope of the present article is valuable in explaining the blood transport dynamics in small vessels while considering the important wall features with chemical reaction characteristics. The current analysis has extensive applications in biomedical engineering field, that is, peristaltic pumps.

Peristaltic transport of Rabinowitsch nanofluid with moving microorganisms

“…To begin a wave construction which changes with speed outside the given border, the following transformations are suggested as 20 , 24 , and 40 : …”

“…To begin a wave construction (x, y) which changes with speed c outside the given border, the following transformations are suggested as 20,24 , and 40 www.nature.com/scientificreports/ Finally, the problem at this point has been well established. The solution will be crystallized in Section "Results and discussions".…”

“…Solutions for a liquid movement in the axial direction in terms of pressure gradient were found when considering the main factors in the Navier–Stokes equations. For the RF prototype with the stiffness and dynamic damping effects through the Darcy-Brinkman-Forchheimer permeable medium, the impact of heat and mass transport on particle-liquid suspension was investigated 24 . Results were carefully considered for several liquid prototypes (thinning, thickening, and viscous models).…”