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

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  • Kohilavani Naganthran

    (Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia
    Center for Data Analytics Consultancy and Services, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia)

  • Roslinda Nazar

    (Department of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, Bangi 43600 UKM, Malaysia
    Centre for Modelling and Data Analysis (DELTA), Faculty of Science & Technology, Universiti Kebangsaan Malaysia, Bangi 43600 UKM, Malaysia)

  • Zailan Siri

    (Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia
    Center for Data Analytics Consultancy and Services, Faculty of Science, Universiti Malaya, Kuala Lumpur 50603, Malaysia)

  • Ishak Hashim

    (Department of Mathematical Sciences, Faculty of Science & Technology, Universiti Kebangsaan Malaysia, Bangi 43600 UKM, Malaysia
    Centre for Modelling and Data Analysis (DELTA), Faculty of Science & Technology, Universiti Kebangsaan Malaysia, Bangi 43600 UKM, Malaysia)

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.

Suggested Citation

  • Kohilavani Naganthran & Roslinda Nazar & Zailan Siri & Ishak Hashim, 2021. "Entropy Analysis and Melting Heat Transfer in the Carreau Thin Hybrid Nanofluid Film Flow," Mathematics, MDPI, vol. 9(23), pages 1-19, November.
  • Handle: RePEc:gam:jmathe:v:9:y:2021:i:23:p:3092-:d:692284
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    References listed on IDEAS

    as
    1. Kohilavani Naganthran & Ishak Hashim & Roslinda Nazar, 2020. "Triple Solutions of Carreau Thin Film Flow with Thermocapillarity and Injection on an Unsteady Stretching Sheet," Energies, MDPI, vol. 13(12), pages 1-17, June.
    2. R. C. Aziz & I. Hashim & S. Abbasbandy, 2012. "Effects of Thermocapillarity and Thermal Radiation on Flow and Heat Transfer in a Thin Liquid Film on an Unsteady Stretching Sheet," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-14, February.
    3. Ranga Babu, J.A. & Kumar, K. Kiran & Srinivasa Rao, S., 2017. "State-of-art review on hybrid nanofluids," Renewable and Sustainable Energy Reviews, Elsevier, vol. 77(C), pages 551-565.
    4. Ali Rehman & Zabidin Salleh & Taza Gul & Zafar Zaheer, 2019. "The Impact of Viscous Dissipation on the Thin Film Unsteady Flow of GO-EG/GO-W Nanofluids," Mathematics, MDPI, vol. 7(7), pages 1-11, July.
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    Cited by:

    1. Sumayyah Alabdulhadi & Sakhinah Abu Bakar & Anuar Ishak & Iskandar Waini & Sameh E. Ahmed, 2023. "Effect of Buoyancy Force on an Unsteady Thin Film Flow of Al 2 O 3 /Water Nanofluid over an Inclined Stretching Sheet," Mathematics, MDPI, vol. 11(3), pages 1-16, February.
    2. Araceli Queiruga-Dios & María Jesus Santos Sánchez & Fatih Yilmaz & Deolinda M. L. Dias Rasteiro & Jesús Martín-Vaquero & Víctor Gayoso Martínez, 2022. "Mathematics and Its Applications in Science and Engineering," Mathematics, MDPI, vol. 10(19), pages 1-2, September.

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