Numerical investigation of gyrotactic microbes and dust particles in bioconvective flow of hybrid nanofluid over a sheet with elastic deformation and Cattaneo-Christov heat flux

Abstract

This work uses the Cattaneo-Christov heat flux model to examine the bioconvective flow of a hybrid nanofluid with deferred dust particles over a sheet. The possibility includes gyrotactic microbes, activation energy, and elastic deformation. This study’s main aim is to inspect the hybrid nanofluid thermal mobility with water as base fluid. The $\mathrm{MnZnFe}{O}_4$ and $\mathrm{CoF}{e}_2{O}_4$ nanoparticles are suitable for thermal analysis. In the relevant flow equations, density of microorganisms, momentum, energy and mass, concentration are taken into consideration. The nonlinear PDEs are transformed into nonlinear ODEs from the rising system. The numerical answers are obtained using a shooting method based on the RKF-45th order. It may be used to improve cooling operations in energy systems and electrical devices where exact control over mass and heat transport is essential. Because microbe motion is crucial to the operation of microbial fuel cells, bioreactors, and bioengineering applications, the inclusion of bioconvection is particularly pertinent. Additionally, the model can be used to build sophisticated cooling mechanisms for high-performance systems, like automotive or aerospace applications, where fluid flow and heat flux must be effectively controlled under elastic deformation conditions. The fluid and liquid phase heat profiles decrease as the elastic deformation parameter values increase. The solid and liquid phase thermal profiles decrease with increasing levels of the elastic deformation parameter.