Bioconvection Casson Nanofluid Flow with Darcy-Forchheimer over a Permeable Stretching Sheet with Heat Source and Chemical Reaction

In this paper, it analyses the phenomena of Casson fluid flow, including the complex interactions between permeation, viscous dispersion, Darcy-Forchheimer implications, heat source, chemical reaction, and the heat boundary layer. The behaviour of a two-dimensional continuous stream comprising gyrotactic microbes of bioconvection Casson nanofluid through a stretchy membrane that is warmed and permeable are investigated in this study. A collection of independent partial differential equations is converted into a set of non-linear ordinary differential equations by using the proper conversion system. The analytical assessment of the current work is done using the homotopy analytic strategy. The relevant parameters are visually demonstrated to impact the concentration of nanoparticles, temperature, velocities, and gyrotactic microorganism profiles. Mathematica tool is used to calculate findings and visuals. The results of this research are extremely important regarding real-world uses for chilling and also for academic advances in the mathematical modeling of Casson liquid motion with thermal exchange in engineering structures. The body's friction coefficient, mobile microbes, Sherwood number, and Nusselt coefficient are calculated. A comparison study between the shooting and HAM findings is carried out as well.