Trends of Hybrid Nanofluids (Zn-Au/EG) Flow in Electrical Conducting Rotating and Stretched System: Haar Wavelets With Dilation 3

This article provides a deep insight to analyze the magnetohydrodynamic rotating flow of hybrid nanofluid between two parallel permeable surfaces with the help of truncated wavelet series. Ethylene glycol is considered as base fluid, while zinc (Zn) and gold (Au) are taken as suspending nanoparticles. The fundamental behavior of fluid flow is most accurately captured through a detailed system of governing partial differential equations. Using similarity transformation, the originated system of partial differential equations is reduced to a system of nonlinear ordinary differential equations. Then, linearized the transformed system using quasilinearization and stimulated by the truncated Haar wavelet series with dilation 3 (HWs3). The impact of several emerging parameters has been examined, and the findings are analyzed via Tables and Figures. The mathematical results provide significant insights of skin friction coefficient and Nusselt number. The obtained results indicate that increasing the Reynolds number and stretching parameter suppresses the velocity and temperature distributions, whereas the injection parameter enhances the flow behavior. Moreover, higher nanoparticle concentration significantly improves the heat transfer rate, leading to an enhancement in the Nusselt number, while the skin friction coefficient increases with Reynolds number and rotation effects. The mathematical results provide significant insights into the behavior of the skin friction coefficient and Nusselt number. The results demonstrate the effectiveness of the proposed approach and offer valuable insights into heat transfer enhancement, with potential applications in thermal management systems, advanced cooling technologies, rotating machinery, and industrial heat transfer processes.