Response surface optimization design for chemotaxis-driven motile microorganism non-linear dynamics in squeezing channel flow

초록

Many industrial and biomedical applications rely on efficient thermal transport and optimization of non-Newtonian fluid systems. A comprehensive response surface optimization framework is built for the dynamics of a chemotaxis-driven motile microorganism in a squeezing channel when the magnetic field is present, the Dufour effect, Soret effect, mass diffusion, and bioconvection with three-dimensional unsteady flow of the Casson fluid. The current study is innovative in that it optimizes the heat transfer properties of the squeezed Casson fluid system by coupling all these various transport processes using Response Surface Methodology (RSM).The MATLAB software package BVP4C is used to get numerical solutions after the nonlinear coupled partial differential equations are reduced to ordinary differential equations using suitable similarity transformations. The RSM optimizes the local Nusselt number while visually and tabularly analyzing the impacts of the governing parameters on temperature, velocity, microorganism concentrations, and distributions. The obtained statistical models demonstrate accurate results with R2 values very close to one, indicating the reliability of the optimization framework. The suggested approach is an efficient method to maximise heat transfer and can be beneficial for designing future heat transfer channel flows, biomedical devices, polymer processing, etc. The proposed methodology is an efficient tool for maximising heat transfer and is beneficial for future development of squeezing channel flows in the field of designing biomedical devices, polymer processing, etc.

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