Numerical assessment of bioconvection in MHD Prandtl nanofluid with gyrotactic motile microorganisms with bio-fuel applications

Due to the importance of bio-convection in biotechnology and various biological systems, scientists have made significant contributions in the current decade. This study intends to elaborate the investigation of the bio-convection flow in MHD Prandlt nanofluid with gyrotactic motile microorganism. Owing to engineering and industrial applications, the augmentation of dynamism by the insertion of nanoparticles is a prominent issue in the twenty-first period. The Arrhenius law and activation energy are also considered. The boundary layer approximations developed the governing flow equations such as momentum, energy, concentration and microorganisms equations. The non-linear coupled PDEs are converted to non-linear ODES with the help of similarity transformations. A couple of transmuted equations with modified boundary conditions are elucidated with the employ of the BVP4C via Matlab software. The behavior of different parameters on fluid motion, energy equation, concentration, and motile microorganisms are also discussed through graphical illustrations. It is analyzed that the heat transfer is improved by magnetic field while velocity field is diclines. Concentration and density performance improvises on thermophoretic and Brownian motion impact. Microorganisms field is decline with increasing the Peclet number and bioconvection Lewis number.

Automated summary

This study focuses on the investigation of bio-convection flow in MHD Prandlt nanofluid with gyrotactic motile microorganism. The governing flow equations are transformed from non-linear coupled PDEs to non-linear ODEs using similarity transformations and solved using Matlab software. The results show that magnetic field enhances heat transfer while decreasing fluid velocity. Concentration and density performance are improved by thermophoretic and Brownian motion effects. Furthermore, the number of microorganisms decreases with increasing Peclet number and bioconvection Lewis number.