Computational and statistical exploration of a Riga plate sensor's activity in a Casson hybrid nanofluid with Arrhenius chemical kinetics

Abstract

In recent years, there has been a growing interest in non-Newtonian hybrid nanofluids in biotechnology, bioinformatics, and microbiology. This study introduces a precise framework for analyzing the behavior of such nanofluids, employing the Casson fluid model. The investigation takes into account the presence of a perforated Riga plate sensor, which functions as an electromagnetic actuator. Additionally, the study considers the influence of Arrhenius chemical kinetics and heat radiation. The hybrid nanofluid under examination is created by blending copper and aluminium oxide nanomaterials with ethylene glycol (EG). To compute the resulting ordinary differential equations (ODEs), numerical algorithms, specifically the Runge-Kutta-Fehlberg (RKF45) and the shooting methods, are employed. The computational findings are presented using graphs and tables, illustrating the impact of critical physical parameters on transport profiles using Mathematica software. The results show higher concentrations of nanoparticles and temperature levels in Casson hybrid nanofluids compared to Casson nanofluids, while fluid velocity exhibits an inverse pattern. In addition, incorporating the chemical reaction parameter yielded a substantial 20% enhancement in the Sherwood number, accompanied by a concurrent 5% reduction in the Nusselt number. Furthermore, the study investigates the influence of the thermophoresis parameter, activation energy parameter, and Brownian motion parameter on the sensitivity of Sherwood and Nusselt Numbers, employing the Response-Surface-Methodology (RSM). The results highlight the significant impact of Nusselt numbers on thermophoresis and Brownian motion, as they are highly responsive to variations. Notably, among all physical entities, the Sherwood number is the most susceptible to changes in the activation energy parameter.