IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i3p741-d1054699.html
   My bibliography  Save this article

Modern Dimensional Analysis-Based Heat Transfer Analysis: Normalized Heat Transfer Curves

Author

Listed:
  • Ioan Száva

    (Department of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania)

  • Sorin Vlase

    (Department of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania
    Romanian Academy of Technical Sciences, B-dul Dacia 26, 030167 Bucharest, Romania)

  • Ildikó-Renáta Száva

    (Department of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania)

  • Gábor Turzó

    (Veiki Energia, Research and Design in Heat-Technology Co., Ltd., 30923 Budapest, Hungary)

  • Violeta Mihaela Munteanu

    (Department of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania)

  • Teofil Gălățanu

    (Department of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania)

  • Zsolt Asztalos

    (Department of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania)

  • Botond-Pál Gálfi

    (Department of Mechanical Engineering, Transylvania University of Brasov, B-dul Eroilor 29, 500036 Brasov, Romania)

Abstract

In this contribution, the authors continued their initial study on the efficiency of the analysis of experimentally obtained temperature curves, in order to determine some basic parameters that are as simple and reliable as possible, such as “ m ”, the heat transfer coefficient. After the brief review of the previous results, on which the present article is based, the authors offered a brief argumentation of the importance of dimensional methods, especially the one called modern dimensional analysis, in these theoretical-experimental investigations regarding the propagation of the thermal field of structural elements with solid sections, and especially with tubular-rectangular sections. It could be concluded that modern experimental investigations mostly follow the behavior of models attached to the initial structures, i.e., prototypes, because there are clear advantages in this process of forecasting the behavior of the prototype based on the measurement results obtained on the attached model.

Suggested Citation

  • Ioan Száva & Sorin Vlase & Ildikó-Renáta Száva & Gábor Turzó & Violeta Mihaela Munteanu & Teofil Gălățanu & Zsolt Asztalos & Botond-Pál Gálfi, 2023. "Modern Dimensional Analysis-Based Heat Transfer Analysis: Normalized Heat Transfer Curves," Mathematics, MDPI, vol. 11(3), pages 1-33, February.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:741-:d:1054699
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/3/741/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/11/3/741/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Gábor Turzó & Ildikó-Renáta Száva & Sándor Dancsó & Ioan Száva & Sorin Vlase & Violeta Munteanu & Teofil Gălățanu & Zsolt Asztalos, 2022. "A New Approach in Heat Transfer Analysis: Reduced-Scale Straight Bars with Massive and Square-Tubular Cross-Sections," Mathematics, MDPI, vol. 10(19), pages 1-24, October.
    2. Ildiko Renata Száva & Daniela Șova & Dani Peter & Pavel Élesztős & Ioan Száva & Sorin Vlase, 2022. "Experimental Validation of Model Heat Transfer in Rectangular Hole Beams Using Modern Dimensional Analysis," Mathematics, MDPI, vol. 10(3), pages 1-23, January.
    3. Gongbo Long & Yingjie Liu & Wanrong Xu & Peng Zhou & Jiaqi Zhou & Guanshui Xu & Boqi Xiao, 2022. "Analysis of Crack Problems in Multilayered Elastic Medium by a Consecutive Stiffness Method," Mathematics, MDPI, vol. 10(23), pages 1-16, November.
    Full references (including those not matched with items on IDEAS)

    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. Aušra Gadeikytė & Aušra Abraitienė & Rimantas Barauskas, 2023. "Application of Combined Micro- and Macro-Scale Models to Investigate Heat and Mass Transfer through Textile Structures with Additional Ventilation," Mathematics, MDPI, vol. 11(11), pages 1-20, May.
    2. Kristina Kaulakytė & Nikolajus Kozulinas & Grigory Panasenko & Konstantinas Pileckas & Vytenis Šumskas, 2023. "Poiseuille-Type Approximations for Axisymmetric Flow in a Thin Tube with Thin Stiff Elastic Wall," Mathematics, MDPI, vol. 11(9), pages 1-18, April.
    3. Xianhui Mao & Ankui Hu & Rui Zhao & Fei Wang & Mengkun Wu, 2023. "Evaluation and Application of Surrounding Rock Stability Based on an Improved Fuzzy Comprehensive Evaluation Method," Mathematics, MDPI, vol. 11(14), pages 1-19, July.
    4. Nicolae Pop & Marin Marin & Sorin Vlase, 2023. "Mathematics in Finite Element Modeling of Computational Friction Contact Mechanics 2021–2022," Mathematics, MDPI, vol. 11(1), pages 1-5, January.
    5. Amir A. Gubaidullin & Anna V. Pyatkova, 2023. "The Effects of Heat Transfer through the Ends of a Cylindrical Cavity on Acoustic Streaming and Gas Temperature," Mathematics, MDPI, vol. 11(8), pages 1-14, April.
    6. Tong Wang & Yang Liu & Qiyuan Li & Peng Du & Xiaogong Zheng & Qingfei Gao, 2023. "State-of-the-Art Review of the Resilience of Urban Bridge Networks," Sustainability, MDPI, vol. 15(2), pages 1-18, January.
    7. Luis Pérez-Domínguez & Harish Garg & David Luviano-Cruz & Jorge Luis García Alcaraz, 2022. "Estimation of Linear Regression with the Dimensional Analysis Method," Mathematics, MDPI, vol. 10(10), pages 1-13, May.
    8. Lei Lan & Jiaqi Zhou & Wanrong Xu & Gongbo Long & Boqi Xiao & Guanshui Xu, 2023. "A Boundary-Element Analysis of Crack Problems in Multilayered Elastic Media: A Review," Mathematics, MDPI, vol. 11(19), pages 1-24, September.
    9. Abdullah Alsoboh & Ala Amourah & Maslina Darus & Rami Issa Al Sharefeen, 2023. "Applications of Neutrosophic q -Poisson distribution Series for Subclass of Analytic Functions and Bi-Univalent Functions," Mathematics, MDPI, vol. 11(4), pages 1-10, February.
    10. Jianmin Wen & Haoyu Yao & Qian Yan & Bindi You, 2023. "Research on Time-Varying Meshing Stiffness of Marine Beveloid Gear System," Mathematics, MDPI, vol. 11(23), pages 1-26, November.
    11. Jingwei Yao & Hong Zhang, 2023. "Comparing Darcy’s Law and the Brinkman Equation for Numerical Simulations of Saltwater Intrusion," Sustainability, MDPI, vol. 15(18), pages 1-16, September.
    12. Muhammad Haziq Iqmal Mohd Nordin & Khairum Bin Hamzah & Najiyah Safwa Khashi’ie & Iskandar Waini & Nik Mohd Asri Nik Long & Saadatul Fitri, 2023. "Formulation for Multiple Cracks Problem in Thermoelectric-Bonded Materials Using Hypersingular Integral Equations," Mathematics, MDPI, vol. 11(14), pages 1-20, July.

    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:jmathe:v:11:y:2023:i:3:p:741-:d:1054699. 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.