Brinkman-Darcy-Forchheimer bioconvection flows of nanofluid past a rotating non-isothermal cone with Soret and Dufour effects

The bioconvection phenomena have recently become a major area of study due to their numerous biological and technical uses. The study of rotating nanofluid flows is essential for several applications, including chemical fluid, cooling systems, rotating machinery, and food processing. In high-performance applications, their remarkable thermal qualities improve coatings' functionality and efficiency. An incompressible bioconvective nanofluid's steady-state laminar boundary layer flow via a rotating non-isothermal cone with Soret and Dufour effects in the Brinkman-Darcy-Forchheimer porous regime is investigated in this work. The resilient second-order accurate implicit finite-difference Keller Box technique is employed to solve the dimensionless nonlinear boundary value problem, incorporating associated wall and free stream boundary constraints, through non-similarity transformations. Validation is achieved by utilizing prior special cases identified in the literature. The influences of Darcy parameter (Da), Forchheimer parameter (Fs), Soret effect (Sf), Dufour effect (Df), Brownian motion parameters (Nb), thermophoresis parameters (Nt), buoyancy ratio (Nr), and Bioconvection Rayleigh number (Rb), is illustrated graphically for axial and tangential velocity components, temperature, nanoparticle concentration and motile density. Overall, studying the bioconvection flow of nanofluid within the framework of Brinkman-Darcy-Forchheimer flow involves interdisciplinary research at the interface of fluid dynamics, heat transfer, porous media, and biology. The novelty of the present work is the bioconvective nanofluid flow past a rotating non-isothermal cone with Soret and Dufour effects within the Brinkman-Darcy-Forchheimer porous regime . These simulations provide valuable insights into optimization opportunities across a wide range of applications. Understanding these intricate relationships aids in the construction of more inventive, economical, and successful solutions for upgrading industrial processes to biomedical devices and environmental systems: environmental engineering, electronic cooling, and nanofabrication.