Analysis of Bioconvective Steady Darcy Forchhemier Nanofluid Flow with Arrhenius Chemical Kinetics and Energy Transition over a Permeable Vertical Plate

In the realm of renewable energy, Darcy-Forchheimer nanofluids are considered for use in solar collectors and thermal energy storage systems. Magnetohydrodynamics Bioconvective Unsteady Darcy Forchhemier Nanofluid flow with arrhenius chemical kinetics and energy transition over a permeable vertical plate was considered. The Darcy Forchheimer porosity medium was considered for the flow analysis. The impressions of thermal radiation, viscous dissipation, heat generation, activation energy, Soret and Dufour effects are taken to investigate the transference analysis of heat and mass rate. The flow equations are in the form of partial differential equations (PDEs) and we utilize suitable similarity transformations to convert them into ordinary differential equations (ODEs). The thermophysical characteristics of the gyrostatic microorganisms conducting flow with energy transition were analysed numerically using Chebyshev Collocation Method (CCM – Hybrid Numerical method) and analytically, using Galarking Weighted Residual Method (GWRM – Analytical technique) with help of MATHEMATICA software. The findings from this research were analyzed in the form of graphs and tables. The following is a list of some key observations from this parametric research: The chemical reaction thermophoresis and Brownian motion parameter reduces the mass concentration, while large values of activation energy have the opposite effect. The mounting values of Péclet numbers (Pe) and bioconvection Lewis numbers reduce the motile microorganism profile. The results obtained showed a perfect agreement with the existing literature and have further applications in fluid dynamic.