Fractional Modeling and Exact Solutions to Analyze Thermal Performance of Fe3O4-MoS2-Water Hybrid Nanofluid Flow Over an Inclined Surface With Ramped Heating and Ramped Boundary Motion

The core determination of this article is to investigate the augmentation in the radiative heat transfer rate of Fe
₃
O
₄
-MoS
₂
-H
₂
O hybrid nanofluid specifying a flow over an inclined plate subject to ramped heating and heat generation/consumption effects. The flow of considered hybrid nanofluid is developed due to the ramped motion of the inclined plate that encounters the magnetic effects and immersed in a porous material. The fractional form of energy and momentum equations is obtained by employing the concept of the Atangana-Baleanu fractional derivative. Some unit-free quantities are introduced and the Laplace transform method is operated to construct the exact solutions of these equations. The noteworthy physical significance of involved parameters is discussed with the aid of graphical illustrations. To analyze the behavior of shear stress and heat transfer rate, numerical computations are tabulated in terms of skin friction coefficient and Nusselt number. All the figures and tables are prepared for both ramped and isothermal boundary conditions to highlight the impacts of the ramped heating condition and ramped motion of the inclined plate. It is observed that a water-based hybrid nanofluid that contains equal proportions of Fe
₃
O
₄
and MoS
₂
nanoparticles exhibits an improvement of 6.14% in the heat transfer rate. The motion of hybrid nanofluid is retarded by fractional and inclination parameters, whereas the thermal radiation parameter serves as a flow supportive factor. Moreover, it is realized that ramping of the boundary surface and the fractional model are more effective for enhancing the heat transfer rate and limiting the shear stress. This result accentuates the significance of ramping technique in achieving a faster cooling rate and better flow control for various engineering applications.