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To improve heat and mass transfer efficiency, nanofluid-based thermal engineering needs efficient nanoparticle control mechanisms. Brownian motion and thermophoresis significantly affect heat and mass transfer characteristics and nanoparticle movement. Inspired by these applications, the current work examines the flow and transfer characteristics of a Casson nanofluid moving via a circular porous slider with an applied magnetic field, Brownian motion, thermophoresis and active/passive nanoparticle control. The present research compares active and passive nanoparticle control techniques and investigates the coupled interaction of these mechanisms within a non-Newtonian Casson fluid. The governing nonlinear equations are transformed using appropriate similarity transformations into a system of ordinary differential equations, which are then numerically solved using the Runge-Kutta-Fehlberg fourth-fifth order (RKF-45) technique. Additionally, the transfer properties are analyzed using response surface methodology (RSM) and artificial neural networks (ANNs). The ANN forecasts exhibit outstanding agreement with the numerical data, while the RSM model achieves prediction accuracies of 99.48 and 99.88% for the active and passive cases, respectively. Higher temperature and concentration profiles are produced by active nanoparticle control than by passive control. The results are pertinent to enhanced cooling technologies, biomedical transfer systems, porous lubrication devices and thermal energy management. They also offer new perspectives on nanoparticle transfer processes. Clinical trial: Not applicable.
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Aine et al. (2026) studied this question.
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