Analysis of entropy generation of bio-convective on curved stretching surface with gyrotactic micro-organisms and third order slip flow
Wubshet Ibrahim, Tezera Gizewu
Abstract
This study looked at the steady, incompressible, viscous flow of bioconvective entropy generation and gyrotactic microorganisms over a curved stretching sheet on a third-order slip. The Soret and Dufour effects, as well as the impact of the magnetic field (Bo), are considered. The nonlinear partial differential equations (PDEs) of the study problems are transformed into ordinary differential equations (ODEs) by using the variable transformation technique. The implication of the bvp4c shooting algorithm is that the built-in MATLAB software is used to find the numerical solution of ODEs. The characteristics of the Bejan number, entropy generation, motile density profiles of microorganisms, concentration profiles, temperature profiles, and velocities are shown in figurative and tabular form. The effect of key parameters on the local density number, the local Nusselt number, the skin friction coefficient, and Sherwood’s number is also discussed. Until now, no investigation has been conducted to examine this study. Some of the results of this study: ”The influence of various values of bio-convective microorganisms’ difference ratio (Nδ) and the bio-convective Rayleigh number (Rb) on concentration is similar. Similar effects are observed on the motile density profiles of microorganisms as the values of the bioconvective Lewis number Le and the bioconvective Peclet number Pe increase. The increments in thermal biot number B1, and Prandtl number Pr, and concentration biot number (B2) on −θ′(0) and −ψ′(0) are dissimilar. The characteristics of increasing the values of the concentration ratio parameter C3 and the gyrotactic microorganism ratio parameter C5 on the Bejan number and entropy generation profiles are the same.” On the −θ′(0) for various Sr values of the present work and previous open literature are more agreeable.