ABSTRACT The magnetized thermo‐chemically radiative tangent hyperbolic nanofluid flow (THNF) has significant advanced thermal management and biomedical applications, including nuclear reactors, aerospace engineering, heat exchangers, tumor treatment, and drug targeting. The paper captures the thermo‐physical characteristics of the time‐dependent THNF model over a moving wedge for flux boundary circumstances with an obliquely applied magnetic field. The primary flow constitutive equations are transfigured into ordinary differential equations of nonlinear nature via a suitable scaled‐similarity technique. The optimal solutions of these equations are attained through novel shifted Chebyshev collocation and classical Keller box schemes, respectively, and are validated against each other. The flow behavior for stretching, static, and shrinking scenarios of wedge movement is presented in graphical and tabular form for several non‐dimensional flow governing factors. The findings reveal that thicker momentum and thermal boundary layers occur with amplified Weissenberg number and mass buoyancy factor. The uplifting effects of Schmidt number, Brownian diffusion, and chemical reaction factors maximize the concentration distribution near the surface, resulting in low mass diffusivity. The skin friction coefficient, Nusselt, and Sherwood numbers were reduced with the elevation of the heat generation/absorption, power law index, and mass buoyancy factors, but enhanced with Darcy number, magnetic, and thermal buoyancy parameters. Notably, skin friction coefficient is highest for stretching wedge and lowest for shrinking wedge conditions, while Nusselt and Sherwood numbers exhibit a contrary trend under similar circumstances. An error analysis confirms the convergence of the spectral scheme, whereas Domb–Sykes plots assist in identifying the nearest singularity of the series.
Awati et al. (Wed,) studied this question.