Electroosmosis modulated peristaltic transport of Carreau magneto-nanofluid with modified Darcy’s law

Abstract

The present study analyses the flow of conductiing ethylene glycol (EG)- and boron nitride (BN)-based ionic mixture led by the combined impact of peristalsis and electroosmosis mechanisms. To incorporate the rheological characteristics of Carreau’s fluid, Buongiorno’s model of nanoliquid is used. Heat and mass transfer features are also taken. Effects of Joule heating, variable thermal conductivity, porous medium, heat sink/source and viscous dissipation are taken. Further, the study is conducted under the influence of external electric and magnetic fields. Coupled differential equations after implementing a lubrication approach are analytically solved. Analysis shows that the nanofluid velocity can be regulated by adjusting the Helmholtz–Smoluchowski velocity and magnetic field strength. The augmented pumping region improves when Darcy’s number is assigned higher values. An increase in electroosmotic parameter decreases the frictional forces at the wall. Temperature profile decreases for higher thermal conductivity parameters and increases for larger Joule heating parameters. Mass transfer decreases by augmenting the thermophoresis parameter.