Scrutinization of nanoparticle aggregation in the reactive dynamics of heat transport phenomenon with buoyancy forces

Abstract Nanotechnology has entered the worldwide industry immensely during the recent two decades. Nanoparticles have been widely used for reducing economic and environmental issues with lesser toxicity and have better chemical stability. Based on these applications, the present study is based on the nanoparticle aggregation effect on MHD flow by an expanding sheet with the joule heating effect and employing the convective boundary conditions. Using suitable similarity variables, the system of partial differential equations (PDEs) regulating the flow and heat transfer in the examined situation is turned into a set of ordinary differential equations (ODEs). These ODEs are then solved numerically using the RKF‐45 (Runge Kutta Fehlberg 45) performance and a shooting system. The solutions produced are utilized to inspect the effect of different nondimensional factors on the related flow and temperature profiles, which are shown graphically for improved visualization and understanding. In addition, the higher impacts of the magnetic parameter decrease the velocity profiles at around 1.05% and 2.15% in the absence and presence of nanoparticle aggregation, respectively. On the other hand, the temperature profiles intensify percentage‐wise at about 4.95% and 5.35% with and without nanoparticle aggregations, respectively, for the superior effects of the magnetic parameter. Increases in the heat source/sink and Eckart numbers, on the other hand, improve the thermal profile, while the Biot number has the reverse effect.