Consequences of an inclined magnetic field and variable viscosity on Williamson blood nanomaterial with bioconvection phenomena passing through peristalsis geometry

Abstract

The current study presents a novel mathematical model to analyze the peristaltic motion of a blood flow along a vertical tube with Williamson nano fluid; specifically, such geometry is more applicable for medical purposes like esophagus movement. The study includes the solar mimetic system, Rosseland’s estimations, inclined MHD effect, variable conductivity and viscosity. The numerical results of modelled equations were launched using the Bvp4c approach. Important velocity-related discoveries show that viscosity and the Williamson variable lower the blood flow. The temperature is upgraded by the inclusion of Brownian as well as thermophoresis factors and is retarded by the Prandtl number. Although the Brownian motion parameter results in a higher density of motile microorganisms and the activation energy follows the low concentration distribution. The inclined magnetic field decreases the velocity of blood. The consequences of pertinent parameters on the Nusselt number, local skin friction, and Sherwood number are elaborated through graphs.