Analyzing Nonsimilar Convective Heat Transfer in Copper/Alumina Nanofluid with Magnetic Field and Thermal Radiations

Abstract Partial differential system featuring momentum and energy balance is often used to describe simulations of flow initiation and thermal shifting in boundary layers. The buoyancy force in terms of temperature is factored in the momentum balance equation. Buoyancy force causes the flow quantity to fluctuate along the streamwise direction 𝑋, therefore problem can be best analyzed through nonsimilar modeling. In this analysis nonsimilar model is evolved for radiative mixed convection of a magnetized power-law nanoliquid flow on top of a vertical plate installed in a stationary fluid. The upward linear stretching initiated the flow in vertical direction. Assuming nano-fluids are composite of copper (Cu) and alumina (Al2O3) nanoparticles, the viscous dissipation in this case is negligible. The nonsimilar system is dealt analytically by local nonsimilarity (LNS) via numerical algorithm bvp4c. Surface temperature and flow field are shown visually in relation to factors like mixed convection, magnetic field strength, nanoparticle volume fraction, radiation parameters, and Prandtl number. The repercussions of magnetic and mixed convection parameters on rate of energy transfer and friction coefficient are represented in tabular forms. The results obtained are compared to the published literature. It is found that the existence of nanoparticles significantly improves the temperature profile of considered nanoliquid. It is also observed that when the estimates of the magnetic parameter increase, the velocity profile decreases. Enhancement in nanoparticles concentration and mixed convection parameter improves the velocity profile. According to the author's findings, no published research has yet addressed the description of non-similar analysis for the considered problem. This study might be beneficial to researchers concentrating on industrial nanofluid applications.