Mathematical Model of Bio-Convective Casson Nanofluid Flow in Heated Cylinders: An Application of Multiphysics Modeling of Engineering and Biological Phenomenon with Prospects for Machine Learning Applications

The objective of this work is to explore the impact of physical parameters on the Casson nanofluid flow over a cylinder in the presence of gyrotactic motile microorganisms. Furthermore, the Impact of an exponential heat source is considered. Moreover, the heat and mass transfer characteristics are investigated utilizing Brownian motion and thermophoresis Impacts. The governing equations of the considered problem are developed in the form of partial differential equations which are then transformed into ordinary differential equations by using similarity transformations. These transformed equations are numerically tackled by using the shooting scheme via the BVP4C solver in MATLAB. The influences of flow-controlling parameters on the velocity field, temperature distribution, and volumetric concentration of nanoparticles and microorganisms profiles are analyzed through graphs. The parametric values are taken as 0.2