Electro-magneto-hydrodynamic flow of couple stress nanofluids in micro-peristaltic channel with slip and convective conditions

Abstract

This study explores the effects of electro-magneto-hydrodynamics, Hall currents, and convective and slip boundary conditions on the peristaltic propulsion of nanofluids (considered as couple stress nanofluids) through porous symmetric microchannels. The phenomena of energy and mass transfer are considered under thermal radiation and heat source/sink. The governing equations are modeled and non-dimensionalized under appropriate dimensionless quantities. The resulting system is solved numerically with MATHEMATICA (with an in-built function, namely the Runge-Kutta scheme). Graphical results are presented for various fluid flow quantities, such as the velocity, the nanoparticle temperature, the nanoparticle concentration, the skin friction, the nanoparticle heat transfer coefficient, the nanoparticle concentration coefficient, and the trapping phenomena. The results indicate that the nanoparticle heat transfer coefficient is enhanced for the larger values of thermophoresis parameters. Furthermore, an intriguing phenomenon is observed in trapping: the trapped bolus is expanded with an increase in the Hartmann number. However, the bolus size decreases with the increasing values of both the Darcy number and the electroosmotic parameter.

Analysis of thermal radiation, Joule heating, and viscous dissipation effects on blood‐gold couple stress nanofluid flow driven by electroosmosis

“…The unsteady two-dimensional governing equations for couple stress nanofluid under the effects of electroosmosis, viscous dissipation, heat flux, and thermal radiation are given as 38,39 :…”

“…The unsteady two‐dimensional governing equations for couple stress nanofluid under the effects of electroosmosis, viscous dissipation, heat flux, and thermal radiation are given as 38,39 : $$$\frac{\partial U}{\partial X}+\frac{\partial U}{\partial Y}=0,$$$ $$${\rho }_{eff}\left(\frac{\partial U}{\partial t}+U\frac{\partial U}{\partial X}+V\frac{\partial U}{\partial Y}\right)=-\frac{\partial P}{\partial X}+{\mu }_{{eff}}\left(\frac{{\partial }^{2}U}{\partial {X}^{2}}+\frac{{\partial }^{2}U}{\partial {Y}^{2}}\right)\,-\eta \left(\frac{{\partial }^{4}U}{\partial {X}^{4}}+2\frac{{\partial }^{4}U}{\partial {X}^{2}\partial {Y}^{2}}+\frac{{\partial }^{4}U}{\partial {Y}^{4}}\right)+{\rho }_{e}{E}_{x},$$$ …”

Numerical solution for MHD peristaltic transport in an inclined nanofluid symmetric channel with porous medium

“…The electroosmosis and double-diffusive convection numerical simulation across micropolar nanofluid the peristaltic transport regarding an asymmetric microchannel was discussed 23 . The effects of convective and slip boundary conditions, hall currents, and electro-magneto-hydrodynamics on the peristaltic propulsion of nanofluids through porous symmetric microchannels was determined 24 . Jeffrey nanofluid magnetohydrodynamic peristaltic transport in an asymmetric channel was investigated 18 .…”

Simulation of Gold Nanoparticle Transport during MHD Electroosmotic Flow in a Peristaltic Micro-Channel for Biomedical Treatment

“…Recent developments in nanotechnology have motivated the creation of various nanoparticles [ 1 , 2 , 3 , 4 ]. Among the existing nanoparticles, metallic nanoparticles have been used widely in biomedical treatments and, among them, AuNPs attract extreme attention, due to their inherent characteristics, such as surface plasmon resonance (SPR), and their physicochemical, electronic and optical fields, which can be easily modified by converting the particle characterizations, such as environment, aspect ratio, size and shape.…”