IDEAS home Printed from https://ideas.repec.org/a/gam/jeners/v14y2021i15p4537-d602371.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/1996-1073/14/15/4537/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/1996-1073/14/15/4537/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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.
    2. Navas-Anguita, Zaira & García-Gusano, Diego & Iribarren, Diego, 2019. "A review of techno-economic data for road transportation fuels," Renewable and Sustainable Energy Reviews, Elsevier, vol. 112(C), pages 11-26.
    3. Fares Almomani & Asmaa Othman & Ajinkya Pal & Easa I. Al-Musleh & Iftekhar A. Karimi, 2021. "Prospective of Upfront Nitrogen (N 2 ) Removal in LNG Plants: Technical Communication," Energies, MDPI, vol. 14(12), pages 1-23, June.
    4. Yin, Haoyu & Wu, Hong & Li, Yulong & Quan, Jin, 2020. "Performance analysis of the water-injected centrifugal vapor compressor," Energy, Elsevier, vol. 200(C).
    5. Ejder, Emir & Dinçer, Samet & Arslanoglu, Yasin, 2024. "Decarbonization strategies in the maritime industry: An analysis of dual-fuel engine performance and the carbon intensity indicator," Renewable and Sustainable Energy Reviews, Elsevier, vol. 200(C).
    6. Michels, Marius & Bonke, Vanessa & Wever, Hendrik & Musshoff, Oliver, 2024. "Understanding farmers' intention to buy alternative fuel tractors in German agriculture applying the Unified Theory of Acceptance and Use of Technology," Technological Forecasting and Social Change, Elsevier, vol. 203(C).
    7. Jihane El Ouadi & Hanae Errousso & Nicolas Malhene & Siham Benhadou, 2022. "On understanding the impacts of shared public transportation on urban traffic and road safety using an agent-based simulation with heterogeneous fleets: a case study of Casablanca city," Quality & Quantity: International Journal of Methodology, Springer, vol. 56(6), pages 3893-3932, December.
    8. Yan, Hongzhi & Hu, Bin & Wang, Ruzhu, 2021. "Air-source heat pump heating based water vapor compression for localized steam sterilization applications during the COVID-19 pandemic," Renewable and Sustainable Energy Reviews, Elsevier, vol. 145(C).
    9. Pan Zhang & Xiwei Ke & Weiliang Wang & Xueyu Tang & Junfu Lyu & Qinghong Tang, 2023. "Study on the Selection of Single-Screw Steam Compressors in Industrial Steam Supply," Energies, MDPI, vol. 16(10), pages 1-15, May.
    10. Alexander García-Mariaca & Eva Llera-Sastresa, 2021. "Review on Carbon Capture in ICE Driven Transport," Energies, MDPI, vol. 14(21), pages 1-30, October.
    11. Li, Yuehua & Pei, Pucheng & Ma, Ze & Ren, Peng & Huang, Hao, 2020. "Analysis of air compression, progress of compressor and control for optimal energy efficiency in proton exchange membrane fuel cell," Renewable and Sustainable Energy Reviews, Elsevier, vol. 133(C).
    12. Pfoser, Sarah & Schauer, Oliver & Costa, Yasel, 2018. "Acceptance of LNG as an alternative fuel: Determinants and policy implications," Energy Policy, Elsevier, vol. 120(C), pages 259-267.
    13. Md Arman Arefin & Md Nurun Nabi & Md Washim Akram & Mohammad Towhidul Islam & Md Wahid Chowdhury, 2020. "A Review on Liquefied Natural Gas as Fuels for Dual Fuel Engines: Opportunities, Challenges and Responses," Energies, MDPI, vol. 13(22), pages 1-19, November.
    14. Najmul Hoque & Wahidul Biswas & Ilyas Mazhar & Ian Howard, 2020. "Life Cycle Sustainability Assessment of Alternative Energy Sources for the Western Australian Transport Sector," Sustainability, MDPI, vol. 12(14), pages 1-33, July.
    15. Markéta Mikolajková-Alifov & Frank Pettersson & Margareta Björklund-Sänkiaho & Henrik Saxén, 2019. "A Model of Optimal Gas Supply to a Set of Distributed Consumers," Energies, MDPI, vol. 12(3), pages 1-27, January.
    16. Wu, Di & Hu, Bin & Wang, R.Z., 2021. "Vapor compression heat pumps with pure Low-GWP refrigerants," Renewable and Sustainable Energy Reviews, Elsevier, vol. 138(C).
    17. Langshaw, Liam & Ainalis, Daniel & Acha, Salvador & Shah, Nilay & Stettler, Marc E.J., 2020. "Environmental and economic analysis of liquefied natural gas (LNG) for heavy goods vehicles in the UK: A Well-to-Wheel and total cost of ownership evaluation," Energy Policy, Elsevier, vol. 137(C).
    18. Sun, Shouheng & Ertz, Myriam, 2022. "Life cycle assessment and risk assessment of liquefied natural gas vehicles promotion," Renewable and Sustainable Energy Reviews, Elsevier, vol. 153(C).
    19. Wen, Na & Tan, Hongbo & Pedersen, Simon & Yang, Zhenyu & Qin, Xiaoqiao, 2023. "Thermodynamic and economic analyses of the integrated cryogenic energy storage and gas power plant system," Renewable Energy, Elsevier, vol. 218(C).
    20. D'Adamo, Idiano & Falcone, Pasquale Marcello & Gastaldi, Massimo & Morone, Piergiuseppe, 2020. "RES-T trajectories and an integrated SWOT-AHP analysis for biomethane. Policy implications to support a green revolution in European transport," Energy Policy, Elsevier, vol. 138(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jeners:v:14:y:2021:i:15:p:4537-:d:602371. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.