Exploring viscoelastic potential: unsteady magnetohydrodynamic thin film flow of Carreau–Yasuda ternary nanofluid on a rotating disk

This work investigates the problem of time- and space-dependent thin film thickness, specifically focusing on the flow of a Carreau–Yasuda (CY) ternary nanofluid over a porous stretching and rotating disk. The study examines how the thin film thickness varies under partial slip conditions. The CY-ternary nanofluid is composed of silver, alumina, and carborundum nanocombination in ethylene glycol. Also, the study takes into account the effect of thermal radiation with the extension of a magnetic field. To solve the unsteady nonlinear problem, it is transformed into a nonlinear problem and solved using the homotopy analysis method (HAM). The acquired data, together with the CY-ternary nanofluid percentage heat transfer augmentation, are shown visually and quantitatively. The results demonstrate that the CY-ternary nanofluid thin film thickness is influenced by the flow parameters. Moreover, a decrease in thin film thickness is facilitated by rotation, magnetic field, and porosity, which significantly boosts heat transfer rates. These findings are practical applications and offer opportunities for improved thermal management in engineering, biomedical, and industrial processes.