Peristaltic transportation of Carreau–Yasuda magneto nanofluid embedded in a porous medium with heat and mass transfer

Abstract

Magnetohydrodynamic rheological pumping systems based on biological sources are finding new applications in modern energy systems. These systems combine the electrically conductive properties of flowing fluids with rheological behavior, biological geometry, and propulsion mechanisms. Further improvement of transport characteristics can be achieved with the use of nanofluids. In this study, all these aspects are combined to analyze the heat and mass transfer in mixed convective peristaltic conveyance of Carreau-Yasuda (CY) magneto nanofluid with mixture of ethylene glycol and graphene nano-powder. The Carreau-Yasuda model is utilized for nanofluid rheology and the Buongiorno's model for nanoscale effects. The deemed flow situation is modelled via temperature dependent heat generation/absorption, variable thermal conductivity, porous medium, activation energy, mixed convection, Brownian diffusion, magnetic field, thermophoresis diffusion, Ohmic heating and viscous dissipation assumptions. Fluid saturated porous medium is simulated by employing a modified Darcy's law. Zero mass flux and no-slip boundary conditions are taken for concentration, heat and velocity fields. Using the lubrication assumption, the governing system of equations for the fluid transfer problem is abridged and resolved employing built-in command NDSolve in Mathematica. Effects of different pertinent parameters are shown via graphs.