Entropy and melting heat transfer assessment of tangent hyperbolic fluid flowing over a rotating disk

A mathematical model is developed for a non-Newtonian tangent hyperbolic fluid over a rotating disk by extending the concept of standard von Karman swirling flow. The impact of magnetic field, melting heat transfer, viscous dissipation, and Joule heating are incorporated. The existing leading nonlinear partial differential equations are modified into ordinary differential equations by using similarity transformation. Then, the bvp4c solver is adopted to investigate the solution of modified nonlinear ordinary differential equations with boundary constraints. The probable error (PE) is computed to examine the reliability of the correlation coefficient ( \(r^{*}\) $r^{\ast }$ ) of the physical parameters. The presence and absence of power-law index parameter are depicted and compared by graphical and tabular form. The rotation parameter is positively correlated and the Weissenberg number is negatively correlated in the presence of the power-law index. Moreover, the Eckert number shows a dual nature in temperature and entropy generation profiles. Finally, velocities, i.e., radial and azimuthal are diminished by enhancing magnetic parameter.