Abstract
Analyzing the heat transport of nanofluids is of prime importance to various industrial and engineering sectors which involves modeling the physical phenomena via highly nonlinear partial differential equations. In this study, the flow and heat transport of a nanoliquid on a bi-directionally elongating surface subject to two different heat modulations (linear temperature-related heat source and space-related exponential heat source) is investigated using the two-component Buongiorno nanoliquid model. The dynamics of the nanoliquid are altered by an external magnetic field applied perpendicular to the sheet. The impact of Brownian motion, Lorentz forces, and thermophoresis are analyzed under the realistic passive control of the nanoparticles. A comparative analysis of the flow over the linear and nonlinear drawn surface is presented. Numeric solutions for the governing partial differential system are obtained through the finite difference method (FDM). Among two types of heat source modulations, the maximum heat transport is observed in the presence of the exponential space-based heat source modulation. The flow and thermal fields are found to advance in the linear elongated surface flow than the nonlinear elongated flow. Furthermore, the random movement of the nanoparticles and the greater magnitude of the Lorentz force have a positive effect on the thermal enhancement in the nanoliquid system. The results of the study have applications in heating/cooling processes, nanoliquid-dependent structures, and thermal systems with stretchable materials.