Quartic autocatalytic reaction in a bioconvective flow of a stratified EHMD Casson fluid conveying nanoparticles over a surface with variable thickness: Legendre Based Collocation Approach

The effective suspension of nanoparticles plays a crucial role in bioconvection, offering a wide array of applications, especially in optimizing heat transfer and various industrial operations such as thermal energy systems. This study meticulously considers the integration of both homogeneous and heterogeneous chemical reactions, exponential heat generation, electromagnetohydrodynamics (EMHD), variable fluid properties, and double stratifications. Through appropriate similarity transformations, the equations governing fluid motion undergo transformation and parameterization. The resultant system of transformed governing equations is solved utilizing the Legendre-Based Collocation Method (LBCM). Notably, heightened Brownian motion leads to increased collisions and interactions, consequently facilitating faster reaction times and more efficient processes.