Next Article in Journal
A Modern Industrial Policy for the Czech Republic: Optimizing the Structure of Production
Next Article in Special Issue
How Does Irrigation Affect Crop Growth? A Mathematical Modeling Approach
Previous Article in Journal
Rotational Activity around an Obstacle in 2D Cardiac Tissue in Presence of Cellular Heterogeneity
Previous Article in Special Issue
Flow and Heat Transfer Past a Stretching/Shrinking Sheet Using Modified Buongiorno Nanoliquid Model
 
 
Article

Entropy Analysis and Melting Heat Transfer in the Carreau Thin Hybrid Nanofluid Film Flow

1
Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia
2
Center for Data Analytics Consultancy and Services, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia
3
Department of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, Bangi 43600 UKM, Malaysia
4
Centre for Modelling and Data Analysis (DELTA), Faculty of Science & Technology, Universiti Kebangsaan Malaysia, Bangi 43600 UKM, Malaysia
*
Author to whom correspondence should be addressed.
Academic Editor: Araceli Queiruga-Dios
Mathematics 2021, 9(23), 3092; https://doi.org/10.3390/math9233092
Received: 2 November 2021 / Revised: 28 November 2021 / Accepted: 29 November 2021 / Published: 30 November 2021
(This article belongs to the Special Issue Mathematics and Its Applications in Science and Engineering)
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. View Full-Text
Keywords: thin film; Carreau fluid; hybrid nanoparticles; melting heat transfer thin film; Carreau fluid; hybrid nanoparticles; melting heat transfer
Show Figures

Figure 1

MDPI and ACS Style

Naganthran, K.; Nazar, R.; Siri, Z.; Hashim, I. Entropy Analysis and Melting Heat Transfer in the Carreau Thin Hybrid Nanofluid Film Flow. Mathematics 2021, 9, 3092. https://doi.org/10.3390/math9233092

AMA Style

Naganthran K, Nazar R, Siri Z, Hashim I. Entropy Analysis and Melting Heat Transfer in the Carreau Thin Hybrid Nanofluid Film Flow. Mathematics. 2021; 9(23):3092. https://doi.org/10.3390/math9233092

Chicago/Turabian Style

Naganthran, Kohilavani, Roslinda Nazar, Zailan Siri, and Ishak Hashim. 2021. "Entropy Analysis and Melting Heat Transfer in the Carreau Thin Hybrid Nanofluid Film Flow" Mathematics 9, no. 23: 3092. https://doi.org/10.3390/math9233092

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop