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An Integral Method for Natural Convection of Van Der Waals Gases over a Vertical Plate

Author

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  • A. A. Avramenko

    (Institute of Engineering Thermophysics, National Academy of Sciences, 03057 Kiev, Ukraine)

  • I. V. Shevchuk

    (Faculty of Computer Science and Engineering Science, TH Köln–University of Applied Sciences, 51643 Gummersbach, Germany)

  • Yu. Yu. Kovetskaya

    (Institute of Engineering Thermophysics, National Academy of Sciences, 03057 Kiev, Ukraine)

  • N. P. Dmitrenko

    (Institute of Engineering Thermophysics, National Academy of Sciences, 03057 Kiev, Ukraine)

Abstract

This paper focuses on a study of natural convection in a van der Waals gas over a vertical heated plate. In this paper, for the first time, an approximate analytical solution of the problem was obtained using an integral method for momentum and energy equations. A novel simplified form of the van der Waals equation for real gases enabled estimating the effects of the dimensionless van der Waals parameters on the normalized heat transfer coefficients and Nusselt numbers in an analytical form. Trends in the variation of the Nusselt number depending on the nature of the interaction between gas molecules and the wall were analyzed. The results of computations for a van der Waals gas were compared with the results for an ideal gas.

Suggested Citation

  • A. A. Avramenko & I. V. Shevchuk & Yu. Yu. Kovetskaya & N. P. Dmitrenko, 2021. "An Integral Method for Natural Convection of Van Der Waals Gases over a Vertical Plate," Energies, MDPI, vol. 14(15), pages 1-12, July.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:15:p:4537-:d:602371
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    References listed on IDEAS

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    1. Hu, Bin & Wu, Di & Wang, R.Z., 2018. "Water vapor compression and its various applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 98(C), pages 92-107.
    2. Tomasz Banaszkiewicz & Maciej Chorowski & Wojciech Gizicki & Artur Jedrusyna & Jakub Kielar & Ziemowit Malecha & Agnieszka Piotrowska & Jaroslaw Polinski & Zbigniew Rogala & Korneliusz Sierpowski & Ja, 2020. "Liquefied Natural Gas in Mobile Applications—Opportunities and Challenges," Energies, MDPI, vol. 13(21), pages 1-35, October.
    3. Osorio-Tejada, Jose Luis & Llera-Sastresa, Eva & Scarpellini, Sabina, 2017. "Liquefied natural gas: Could it be a reliable option for road freight transport in the EU?," Renewable and Sustainable Energy Reviews, Elsevier, vol. 71(C), pages 785-795.
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    Cited by:

    1. Artur S. Bartosik, 2022. "Numerical Heat Transfer and Fluid Flow: A Review of Contributions to the Special Issue," Energies, MDPI, vol. 15(8), pages 1-8, April.

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