Significance of Brownian motion and thermophoresis influence on dynamics of Reiner-Rivlin fluid over a disk with non-Fourier heat flux theory and gyrotactic microorganisms: A Numerical approach

Abstract

Abstract Bioconvection for rotational flow is conceived to provide stability to improved thermal transportation for Reiner-Rivlin nano fluid over a disk with multi-slips. The nonFourier heat flux, binary chemical reaction, magnetic force, and activation energy are incorporated. A system of nonlinear differential equations in coupled form is acquired through the fundamental relations of Reiner-Rivlin fluids. The Runge-Kutta method of fourth-order is used to solved differential equations in MATLAB environment. The impact of various parameters are discussed and drawn physically with the help of graphs. The Reiner-Rivlin fluid parameter, magnetic parameter, thermophoresis, and Brownian motion parameter escalated the nanofluid temperature field. The electromagnetic parameter and Reiner-Rivlin fluid parameter decelerated the primary flow velocity and activation energy augmented the volume fraction of nanoparticles in the boundary layer region. An excellent accord among the present and previously existing solutions is establishes the validity of the current findings.