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Nanofluid Flow on a Shrinking Cylinder with Al 2 O 3 Nanoparticles

Author

Listed:
  • Iskandar Waini

    (Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Melaka 76100, Malaysia
    Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia UKM, Bangi 43600, Malaysia)

  • Anuar Ishak

    (Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia UKM, Bangi 43600, Malaysia)

  • Ioan Pop

    (Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania)

Abstract

This study investigates the nanofluid flow towards a shrinking cylinder consisting of Al 2 O 3 nanoparticles. Here, the flow is subjected to prescribed surface heat flux. The similarity variables are employed to gain the similarity equations. These equations are solved via the bvp4c solver. From the findings, a unique solution is found for the shrinking strength λ ≥ − 1 . Meanwhile, the dual solutions are observed when λ c < λ < − 1 . Furthermore, the friction factor R e x 1 / 2 C f and the heat transfer rate R e x − 1 / 2 N u x increase with the rise of Al 2 O 3 nanoparticles φ and the curvature parameter γ . Quantitatively, the rates of heat transfer R e x − 1 / 2 N u x increase up to 3.87% when φ increases from 0 to 0.04, and 6.69% when γ increases from 0.05 to 0.2. Besides, the profiles of the temperature θ ( η ) and the velocity f ’ ( η ) on the first solution incline for larger γ , but their second solutions decline. Moreover, it is noticed that the streamlines are separated into two regions. Finally, it is found that the first solution is stable over time.

Suggested Citation

  • Iskandar Waini & Anuar Ishak & Ioan Pop, 2021. "Nanofluid Flow on a Shrinking Cylinder with Al 2 O 3 Nanoparticles," Mathematics, MDPI, vol. 9(14), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1612-:d:590792
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    References listed on IDEAS

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    1. Megahed, Ahmed M. & Reddy, M. Gnaneswara & Abbas, W., 2021. "Modeling of MHD fluid flow over an unsteady stretching sheet with thermal radiation, variable fluid properties and heat flux," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 583-593.
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