Evaluating the Higher-Order Slip Consequence in Bioconvection Nanofluid Flow Configured by a Variable Thick Surface of Disk

For innovations in manufacturing and engineering scientific fields, the devices (electrical and computer systems) with large thermal effectiveness are needed. As a result, their thermal efficiency has become a very hot problem for many canvassers. With the novelty of this analysis, a mathematical study is performed to estimate the Darcy-Forchheimer flow of viscous magnetized fluid with Arrhenius activation energy and bioconvection effects through a variable thick surface of a rotating disk. The impact of thermal conductivity, heat source, and nonlinear thermal radiation is considered. The higher-order velocity slip impacts are also scrutinized. The system of partial differential equations (PDEs) and specific boundary restrictions is altered into a system of ODEs by adopting the suitable similarity transformations. The reduced ODE's system is tackled with the aid of shooting scheme under (bvp4c) built-in tool commercial software MATLAB. Moreover, the effects of different parameters over velocity components, thermal conductivity, concentration, and microorganism's fields are also examined. The confirmation of our findings is also explained through tables and graphical results. The results revealed that the radial velocity increases with the growing estimations of mixed convection parameter. The second-order velocity slip in radial direction causes a decrement in the estimation of axial velocity. Temperature distribution increases with a larger temperature ratio parameter. The concentration field of species and microorganism profile is reduced via a Brownian motion parameter and Peclet number, respectively.

Automated summary

This study addresses the importance of thermal efficiency in the fields of manufacturing and engineering, specifically focusing on electrical and computer systems. Through mathematical analysis, the study estimates the flow of a specific fluid with unique properties and examines the impact of thermal conductivity, heat source, and nonlinear thermal radiation. The findings are validated through numerical calculations and graphical results.