Computational Transport Features of Magnetized Thermo‐Solutal Stratification Effects on Dynamics of Buongiorno's Maxwell Nanofluid Flow Past a Stretching Sheet With Soret–Dufour Mechanism Under Non‐uniform Heat Source/Sink

ABSTRACT The central focus of this mathematical investigation is demonstrate the characteristics features of steady‐state two‐dimensional magnetic field effects on the dynamics of Buongiorno's Maxwell nanofluid flow past a stretching sheet with non‐uniform heat source/sink. The novel physical impacts like thermo‐solutal stratification with jump effects are included to describe transport mechanism. In addition, the Soret–Dufour effects are incorporated in the governing equations to elucidated the thermal and concentration transport process. Also, the microscopic characteristic features of nanofluid are depicted in terms of Brownian motion and thermophoresis effects. Further, the used Maxwell‐nanofluid model has plenty of industrial applications including nanotechnology, material processing, thermal management systems, cooling of electronic devices, chemical engineering, injection moulding and plastic sheet formation and many more. By virtue of this, an attempt is made to demonstrate the dynamics of Maxwell nanofluid flow over a stretching sheet with various effects. However, the investigated physical problem results the highly coupled nonlinear steady‐state partial differential equations and which are not amenable to any of the direct techniques. Due to this, a robust bvp4c MATLAB function is effectively used to generate the appropriate numerical solutions of the governing equations through applicable similarity transformations. Further, this article examines the influence of several key parameters on the scaled profiles of velocity, concentration, and temperature, providing insights into their complex relationships and behavior. The findings indicate that, the increased magnetic and Maxwell fluid parameters decreased the velocity profile and enlarges the thermal and concentration fields. Amplifying Dufour number increases the temperature field. Enhancing Brownian and thermophoresis parameters significantly amplifies the thermal diffusion fields. Increasing Soret parameter increases the concentration diffusion. Elevating heat source/sink number increases the temperature field. Increasing thermal and concentration stratification parameters decreases the temperature and concentration fields. In addition, the rising Eckert number increases the thermal diffusion mechanism. In conclusion, the accuracy and guarantee of the present flow problem is accessible through a validation of current similarity findings with the previous published results.