Double diffusive convection for MHD peristaltic movement of Carreau nanofluid with Hall effects

Abstract

This study investigates the magnetohydrodynamics (MHD) peristaltic motion of double diffusive convection of Carreau nanofluid through an asymmetric channel. Hall and magnetic field effects are also incorporated. The governing equations are simplified under the assumptions of large wavelength and small Reynolds number. Resulting set of equations are solved numerically and graphs are obtained to analyze the influences of pertinent flow parameters such as Hartmann number, Hall parameter, Grashof number, solutal Grashof, thermophoresis parameter, Brownian motion, and Dufour and Soret parameters on different flow profiles. Isotherms and trapping phenomena are also discussed via graphs. The outcomes reveal that higher values of Hall parameter improve velocity profile. Large values of hydrodynamic parameters enhance the nanofluid’s temperature. For higher values of the Hartmann number, the velocity profile near the channel walls improves. It is also observed that the nanoparticle Grashof and thermal Grashof numbers exhibit opposite behaviors on both channel walls. Additionally, the temperature profile increases with improving values of the thermophoresis parameter and Brownian motion, while the solutal (species) concentration profile decreases under these conditions. The pumping rate of the peristaltic flow is maintained through thermal and nanoparticles Grashof number. Streamlines and isotherms are regulated through Hartmann number and Hall parameter. Furthermore, it is observed that the pressure gradient decreases for higher Hartmann number due to the influence of the “Lorentz force” which imparts physical resistance to the liquid. This study may help in various fields of science and engineering, particularly in understanding natural phenomena, heat and mass transport in fluid systems, chemical engineering, physiology, and medical sciences.