Numerical study of Williamson micropolar nanofluid flow with four nanoparticles in the presence of exponential chemical reaction

This research aims to illustrate the model of a hybrid micropolar fluid with four nanoparticles and base fluid water. The thermal and mass exchange features of this tetra hybrid micropolar fluid in a porous medium are examined in this paper. This investigation shows comparison between tetra hybrid and hybrid micropolar nanofluid flow under the influence of various parameters. This research studies the impact of exponential chemical reaction on mass flow for the micropolar Williamson hybrid nanofluid. By studying these effects in combination, the work reflects actual operating conditions in micro-reactors polymer processing, and drug delivery systems where heat transfer, fluid microstructure, and chemical kinetics all interact. Similarity transformations are used to convert the governing equations into single-variable differential equations. The transformed equations are simplified using the finite difference method and the bvp4c function in MATLAB. The velocity and thermal profiles decrease as the magnetic parameter \((0.1\le M\le 2.0)\) $(0.1\le M\le 2.0)$ increases. With growing value of chemical reaction rate \((0.05\le \text{k}\text{r}\le 0.3)\) $(0.05\le \text{kr}\le 0.3)$ and Brownian motion \((0.1\le \text{N}\text{b}\le 0.2)\) $(0.1\le \text{Nb}\le 0.2)$ , the concentration distribution increases initially then it goes to decline. The flowchart of Nusselt number and Sherwood number, along with the magnetic factor, declines for different values of Prandtl number and porosity. This study is significant because it provides more realistic, multi-physics model for thermal and reactive systems, showing weather the added complexity of four nanoparticles is worth using over simpler hybrids.