Spectral Simulation on the Flow Patterns and Thermal Control of Radiative Nanofluid Spraying on an Inclined Revolving Disk Considering the Effect of Nanoparticle Diameter and Solid–Liquid Interfacial Layer

The current work enlightens the flow pattern and thermal scenario of a nanofluid spraying on an inclined permeable rotating disk. The whirling disk is assumed to revolve with the angular speed $Ω$⁠. The water-based alumina (Al₂O₃) nanofluid is considered as a functioning liquid. The nanofluid spraying is treated to be magnetically influenced and thermally radiative. The perception of the nanoparticles' diameter and solid–liquid interfacial layer is incorporated precisely at the nanolevel to observe the thermal variations of the nanofluidic motion. How the magnetic effect, permeability, and nanolayer affect nanofluidic transportation is revealed in detail. The leading flow equations are altered nondimensional using apposite similarity translation, and the spectral quasi-linearization method (SQLM) is instigated to tackle those multi-ordered nonlinear equations. Various three-dimensional figures, graphs, and tables are described to detect and analyze the hydrothermal variations. The linear regression slope technique is addressed to extract the reduction or enhancement rate of heat transference. Also, the probable error is estimated statistically to assure that hydrothermal characteristic is correlated with physical parameters. The consequences indicate enhanced heat transport for nanolayers, but reduced heat transmission for nanoparticles' diameter. Thermal profile intensifies for thickness parameter and impermeable surface, whereas decreases for nanoparticles' diameter.