Mathematical modelling and analysis of three-dimensional Maxwell-Nanofluid flow over a bidirectional stretching surface in the presence of a magnetic field

Anotace: The current study investigates the effects of thermal diffusion and diffusion thermoeffect on three-dimensional upper-convected Maxwell-Nanofluid flow across a bidirectional stretching surface in the presence of Brownian motion, thermophoresis, and thermal and mass Biot numbers. The current communication is also being carried out to consider the unique and innovative properties of nanofluids. The Rosseland approximation incorporates a nonlinear radiative heat flow in the energy equation. By adding applicable dimensionless variables and parameters, the governing equations are converted into a dimensionless form and then solved via finite element system. The paper delivers a comprehensive analysis of how various factors and other pertinent parameters influence the flow variables. These findings are presented visually through graphical representations, providing a clear and insightful understanding involved in this flow scenario. The results obtained demonstrate that it is an effective solution to the current problem. This new research has significant implications for the food industry, as well as for energy systems, biomedical engineering, and aeronautics. The numerical findings of this investigation are tangible and validated.