Abstract
Melting heat transfer has a vital role in forming energy storage devices such as flexible thin film supercapacitors. This idea should be welcomed in the thin film theoretical models to sustain technological advancement, which could later benefit humankind. Hence, the present work endeavors to incorporate the melting heat transfer effect on the Carreau thin hybrid nanofluid film flow over an unsteady accelerating sheet. The mathematical model that obeyed the boundary layer theory has been transformed into a solvable form via an apt similarity transformation. Furthermore, the collocation method, communicated through the MATLAB built-in bvp4c function, solved the model numerically. Non-uniqueness solutions have been identified, and solutions with negative film thickness are unreliable. The melting heat transfer effect lowers the heat transfer rate without affecting the liquid film thickness, while the Carreau hybrid nanofluid contributes more entropy than the Carreau nanofluid in the flow regime.
Highlights
The thin film flow research has a great prospect in technological advancement due to its significance in producing electronic devices such as integrated circuits and microscopic fluidic devices [1]
Realising the strength of the thin film flow research as an enzyme to attain the stage of technological development, Wang [3] pioneered the problem of the thin film flow past an accelerating sheet and attested the unavailability of similarity solutions when the flow unsteadiness’ rate exceeds 2
Equations (12)–(14), which convey the simplified form of the present thin film flow problem, are solved using the bvp4c function found in the MATLAB 2019a software
Summary
The thin film flow research has a great prospect in technological advancement due to its significance in producing electronic devices such as integrated circuits and microscopic fluidic devices [1]. Andersson et al [5] solved the thin film flow and heat transfer past an accelerating sheet; they devised a novel similarity solution for the temperature field. This contribution of [5] is remarkable and highly assists in investigating the heat transfer aspect in the present work. Wang [6] presented the analytic solutions for the thin film flow and heat transfer problem over an unsteady accelerating sheet. The present work attempts to solve the problem of the Carreau thin hybrid nanofluid film flow past an accelerating sheet under the influence of the melting heat transfer. The findings of the present work may serve as a reference for improving the material processing industry
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