Irreversibility analysis of bio-convection nanofluid flow in a Darcy-Forchheimer porous medium induced by a rotating disk with thermal radiation

Abstract

Nanofluid has produced substantial contributions to better efficiency in energy usage along with reduced heat transfer. Motivated by these uses, this study represents an effort to explore the second law analysis in the Darcy-Forchheimer bioconvection flow of nanoliquid toward stagnant point flow in the direction of a revolving disk. To clarify the dynamics of heat transmission, the effects of non-linear thermal radiation and heat generation/absorption are presented. To examine the fluid thermal characteristics, the convective boundary is additionally taken into account. The updated Buongiorno concept is employed to study new elements of thermophoresis with Brownian motion with the transport of nanoparticles in moving fluids. The constitutions equations can be converted through dimensionless ordinary differential equations (ODEs) using the von Karman components. We employ a numerical approach termed the bvp4c scheme, which employs the shooting method to obtain the numerical solution of the governing ODEs. The Matlab software is used to obtain the solutions of the existing modeled equations. Visual analysis is employed to examine the impact of various governing variables on the velocity, thermal layer, concentration, microbe density, entropy production, and Bejan distributions. Besides, the numerical data on drag force, heat, mass, and motile density are tabulated. It has been noted that when the inertia coefficient and permeability of the porous media enhance, the disc's radial and azimuthal velocities decay while its axial velocity tends to escalate. The heat transport of nanoliquid enhances as the Biot number and thermophoretic variable goes up, whereas the distribution of motile gyrotactic microorganisms diminutions as the Lewis number intensifies. As the Brinkman number and temperature difference variable parameters enrich, so does the rate of entropy formation and Bejan number.