ABSTRACT This study examines the dissipative flow of a radiative, hydromagnetic tangent hyperbolic nanofluid over a variable‐permeability melting wedge, incorporating diffusion‐thermo (Dufour) and thermo‐diffusion (Soret) effects. The shear‐thinning characteristics of the fluid are described using the tangent hyperbolic model, resulting in a system of coupled, nonlinear partial differential equations (PDEs). A similarity transformation is applied to convert these PDEs into a set of highly coupled, nonlinear ordinary differential equations (ODEs), which are subsequently solved numerically using MATLAB's bvp4c solver. The results, presented graphically and in tabular form, elucidate the behavior of the velocity, temperature, and concentration profiles, as well as the surface transport coefficients. The analysis reveals that the velocity profile is enhanced by a larger power‐law index but attenuated by greater permeability. Conversely, the temperature and concentration distributions, along with their associated boundary layer thicknesses, are suppressed by higher values of both the power‐law index and the melting parameter. A key finding highlights the role of the Eckert number, where rising values diminish the velocity while amplifying the temperature due to heightened viscous dissipation. The findings of this model have significant applications in engineering and industrial systems, including nuclear reactors, advanced cooling mechanisms, and solar collectors.
Endalew et al. (Wed,) studied this question.