Double diffusive bio-peristaltic propulsion of hydromagnetic Casson fluid through a conduit under the influence of Hall current and thermal radiation

Abstract

Analysis of biological and industrial fluid pumping is an essential research domain due to its applications in various medical and industrial fields, including heart-related machinery, dialysis pumps, fluid-based drug delivery procedures, and industrial fluid transport techniques. As a result of this advancement, it is considered to describe the peristaltic transport of Casson nanofluid in a symmetric porous channel under double-diffusive magnetohydrodynamic (MHD) conditions. Also, consideration has been given to the impact of Hall current, inclined magnetic field, thermal radiation, and energy generation. To simplify the system, a lubrication approximation is used. The proposed dimensional governing principles are transformed into a system of dimensionless partial differential equations by incorporating suitable non dimensional components. The analytical solution for the temperature, concentration, and nanoparticle fraction is derived using the homotopy perturbation method (HPM). The exact solution of the stream function and velocity field is obtained. To further examine the properties of various parameters, including temperature, concentration, fluid velocity, pressure rise, nanoparticle volume fraction, and trapping phenomena, Nusselt and Sherwood numbers are thoroughly covered with graphical representations and tables. The analysis of the data demonstrates that in the presence of double-diffusive convection, the fluid's temperature can be raised by the Brownian motion parameter, the thermophoresis parameter, and the Du four number. Additionally, the results are validated to verify excellent agreement between the present and past findings in a few specific circumstances.