Insight into the Heat Transfer Across the Dynamics of Carreau Fluid Subject to Inclined Lorentz Force Conveying Tiny Particles and Motile Gyrotactic Microorganisms: The Case of Stratification

Abstract

Sequel to the usefulness of exploration of Carreau fluid flow for understanding the nature of the shear thinning and thickening characteristics of industrial fluids and polymer suspensions, nothing is known on the heat transfer across the dynamics of Carreau fluid subject to three kinds of stratification (i.e., thermal, concentration, and diffusion of motile microorganisms). In this article, the motion mentioned above when inclined Lorentz force, haphazard motion of tiny particles, thermophoresis, and motile gyrotactic microorganisms are significant is presented, explored, and deliberated upon. Similarity transformation variables were employed to reduce the model from partial to ordinary differential equations. The Runge–Kutta–Gill methodology was used in conjunction with the shooting method and MATLAB bvp4c to obtain the numerical solution. It is worth concluding that thermal stratification and wall heating/temperature ratio terms promote heat transmission while increasing the size of the Weissenberg number and the mixed convection parameter lowers the skin friction coefficient. Furthermore, it has been shown that when stresses grow,viscosity promotes the deformation of fluid components, resulting in fluid velocity retardation