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Experimental Fitting of the Re-Scaled Balje Maps for Low-Reynolds Radial Turbomachinery

Author

Listed:
  • Roberto Capata

    (Department of Mechanical and Aerospace Engineering, University of Roma "Sapienza", Roma 00184, Italy)

  • Enrico Sciubba

    (Department of Mechanical and Aerospace Engineering, University of Roma "Sapienza", Roma 00184, Italy)

Abstract

With the increasing popularity enjoyed by ultra-micro scale turbomachinery, designers are often faced with severe challenges due to the substantial phenomenological difference between the low-Reynolds fluid-dynamics in rotating or strongly curved flows and the established knowledge acquired through decades of theoretical and experimental studies on medium and large-scale machines. The problem is complicated by the absence of an extended and reliable database that might be used for preliminary design and provide indications for scale-up or scale-down. As a result, custom-designed experimental campaigns are necessary that make the development of any new machine exceedingly costly. The situation has seen some improvement in recent years, after the publication of a sufficient number of experimental results and numerical simulations that pave the way towards a development of semi-empirical correlations. The purpose of this work is to present and discuss a preliminary and simple method to extend the currently available design maps into the small scale range (Re < 10 5 ) by introducing in the Balje charts an efficiency correction that depends on the specific speed n s . The method results in a Stodola-like formula which originates a lower-than-standard Cordier curve on the classical Balje charts. A validation with some experimental results is also presented and discussed. Though the agreement is more than satisfactory, it must be stressed that the method provides only approximate results, and thus it must be considered as an evolving temporary solution, that needs to be updated as long as larger series of (numerical or physical) experimental results become available.

Suggested Citation

  • Roberto Capata & Enrico Sciubba, 2015. "Experimental Fitting of the Re-Scaled Balje Maps for Low-Reynolds Radial Turbomachinery," Energies, MDPI, vol. 8(8), pages 1-15, July.
  • Handle: RePEc:gam:jeners:v:8:y:2015:i:8:p:7986-8000:d:53490
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    Citations

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    Cited by:

    1. Mounier, Violette & Olmedo, Luis Eric & Schiffmann, Jürg, 2018. "Small scale radial inflow turbine performance and pre-design maps for Organic Rankine Cycles," Energy, Elsevier, vol. 143(C), pages 1072-1084.
    2. Sebastián, Andrés & Abbas, Rubén & Valdés, Manuel, 2021. "Analytical prediction of Reynolds-number effects on miniaturized centrifugal compressors under off-design conditions," Energy, Elsevier, vol. 227(C).
    3. Wenjiao Qi & Qinghua Deng & Yu Jiang & Qi Yuan & Zhenping Feng, 2018. "Disc Thickness and Spacing Distance Impacts on Flow Characteristics of Multichannel Tesla Turbines," Energies, MDPI, vol. 12(1), pages 1-25, December.
    4. Roberto Capata, 2018. "Urban and Extra-Urban Hybrid Vehicles: A Technological Review," Energies, MDPI, vol. 11(11), pages 1-38, October.
    5. Masi, Massimo & Da Lio, Luca & Lazzaretto, Andrea, 2020. "An insight into the similarity approach to predict the maximum efficiency of organic Rankine cycle turbines," Energy, Elsevier, vol. 198(C).
    6. Roberto Capata & Matteo Saracchini, 2018. "Experimental Campaign Tests on Ultra Micro Gas Turbines, Fuel Supply Comparison and Optimization," Energies, MDPI, vol. 11(4), pages 1-17, March.

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