article · Applied Rheology
This research evaluates the behaviour of magnetohydrodynamic nanofluid flow around a rotating sphere, incorporating the effects of Lorentz forces, convective boundaries, pollutant concentration, and both endothermic and exothermic chemical reactions. Using Runge-Kutta Fehlberg fourth- and fifth-order numerical schemes, the study solves the simplified governing ordinary differential equations to model mass and thermal behaviour. The findings reveal that mass transfer rates decline as the solid volume percentage and external pollutant local sources rise. Furthermore, thermal dispersion decreases in endothermic reactions but increases in exothermic scenarios when activation energy and solid fraction parameters shift. The concentration profile also rises alongside increases in external pollutant source parameters. Overall, the study offers computational insights into fluid, heat, and waste dynamics around curved surfaces.
Understanding how heat and pollutants disperse in fluids controlled by magnetic fields is essential for improving manufacturing safety and environmental protection. By revealing how chemical reactions and fluid particles alter cooling and waste transport, this research provides valuable theoretical insights for designing cleaner, more energy-efficient industrial machinery and pollution-filtering systems.
The insights could inform the design of cooling equipment, magnetohydrodynamic power generators, and advanced pollution control systems used in environmental management and chemical processing. Potential users include plant engineers and equipment designers seeking to optimise thermal and contaminant management. As a theoretical computational study based on numerical simulations, the work represents early-stage research requiring physical prototyping and practical testing before industrial deployment.
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Abstract As industries rely more and more on magnetohydrodynamic (MHD) systems for different uses in power, production, and management of the environment, it becomes essential to optimize these operations. The study seeks to improve the effectiveness and productivity of cooling structures, chemical reaction reactors, and contaminant control methods by investigating these intricate interconnections. Because of this, the work scrutinizes the endothermic/exothermic (EN/EX) chemical processes, convective boundary conditions, and pollutant concentration impacts on MHD nanofluid circulation around a rotating sphere. The governing equations based on the above assumptions are reduced into a system of ordinary differential equations and solved numerically with Runge–Kutta Fehlberg’s fourth- and fifth- order schemes. The obtained numerical outcomes from the numerical scheme are presented with the aid of graphs, and the results show that the rate of mass transfer decreases with an increase in the external pollutant local source and solid volume percentage. For changes in the values of the activation energy parameter and solid fraction, the rate of thermal dispersion drops for the EN case and upsurges for the EX case. The concentration profile shows increment with the addition of the external pollutant source variation parameter and local pollutant external source parameter. The outcomes of the present work can be helpful in cooling equipment, developing advanced methods for controlling pollution, environmental management, MHD generators, and various industrial contexts.
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DOI: 10.1515/arh-2024-0012
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