Chemically reactive stagnated third‐grade magnetized nanomaterial considering modern diffusion approaches

Abstract An incompressible boundary‐layer third‐grade nanomaterial stagnated flow confined by stretchy regime is formulated. The laminar magnetized thermal and solutal flow features the aspects of Brownian diffusion, generalized thermal‐flux, thermophoresis, and generalized solutal‐flux. The dimensionalized third‐grade steady‐state model is obtained by implementing appropriate variables. The subsequent nonlinear mathematical model is analytically computed by utilizing homotopy algorithm. The graphics demonstration of nondimensional fields (i.e., velocity, concentration, and temperature) for distinct physical variables is exhibited. The outcomes for the skin‐friction coefficient are calculated and confirmed to be precise. The analysis reveals that augmented values of material parameters escalate nanomaterial velocity while the Hartman number exhibits lower velocity. The temperature field displays a decaying trend for Prandtl number and thermal relaxation variable while contrary effects for nanoscale parameters (i.e., thermophoresis diffusive and Brownian diffusive) are reported. Besides, the nanomaterial concentration shows a decreasing trend with respect to the Schmidt number, Brownian motion, and solutal‐relaxation variable while thermophoresis parameter exhibits opposite effects. Furthermore, this study could be valuable for the design of various lab‐on‐a‐chip and thermal microfluidic devices in the field of biomedicine. Besides contributing to the creation of new devices, they may also be advantageous for performing genetic testing and developing innovative tools.