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The influence of cubic real-gas equations of state in the supersonic regime of dense gases

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Abstract

Real-gas effects should be considered in ORC expanders, particularly in a supersonic flow. This study deals with the numerical evaluation of cubic real gas models in a supersonic R245fa flow over a wedge-shaped cascade. The NIST Refprop real gas model was selected as a benchmark model, and four other cubic real gas equations of state (EoS) were evaluated with respect to the reference model. The four cubic real gas EoS are studied. The results show that the Peng-Robison EoS is the most accurate model with an average error of less than 1.1 % for Mach number prediction for 3 different sections, and its computational cost is 39 % lower than NIST. However, the Aungier-Redlich-Kwong EoS model shows better performance accuracy and the computational cost with an average error of 1.7 % for Mach number prediction and a 17 % computational cost lower than NIST. Therefore, using this model is recommended for modeling R245fa in the supersonic regime.

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Abbreviations

A:

Flow passage area (m2)

m :

Mass flow rate (kg/s)

M:

Mach number

Mw:

Molecular weight (g/mol)

P:

Pressure (Pa)

R:

Gas constant (J/Kg-K)

t:

Blade thickness (m)

T:

Temperature (K)

ω:

Acentric factor

x:

Distance from the leading edge along the chord (m)

Y:

Vertical distance (m)

Z:

Compressibility factor

γ:

Heat capacity ratio

δ:

The angle between the wedge surface and flow axis

θ:

The angle between the oblique shock and flow axis

ρ:

Density (kg/m3)

c:

Critical

in:

Inlet

0:

Stagnation

l:

Before oblique shock

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Acknowledgments

This study was supported by the National Research Foundation of Korea (NRF) grant funded by the Korean government (MSIT) (NRF-2019H1D3A2A01061428, No. 2011-0030013, No. 2018R1A2B2007117).

Author information

Authors and Affiliations

  1. School of Mechanical Engineering, Pusan National University, Busan, 609-735, Korea

    Omid Nematollahi & Kyung Chun Kim

  2. Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, 84156-83111, Iran

    Mahdi Nili-Ahmadabadi

Authors
  1. Omid Nematollahi
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  2. Mahdi Nili-Ahmadabadi
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  3. Kyung Chun Kim
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Corresponding author

Correspondence to Kyung Chun Kim.

Additional information

Recommended by Editor Yang Na

Omid Nematollahi is a Ph.D. student at the School of Mechanical Engineering of Pusan National University in Korea. His research interests are renewable energies, PIV measurements and organic Rankine cycles. He is currently in the process of developing a supersonic dense gas dynamic measurements in the organic Rankine cycles.

Mahdi Nili-Ahmadabadi is an Associate Professor and the faculty member of the Mechanical Engineering Department at the Isfahan University of Technology. He received his master and Ph.D. degrees from Sharif University of Technology in 2005 and 2010, respectively. His major research interests are inverse design, turbomachinery, experimental aerodynamics, and PIV measurement.

Kyung Chun Kim is a Distinguished Professor at the School of Mechanical Engineering of Pusan National University in Korea. He obtained his Ph.D. from the Korea Advanced Institute of Science and Technology (KAIST), Korea, in 1987. He was selected as a Member of the National Academy of Engineering of Korea in 2004. His research interests include flow measurements based on PIV/LIF, POCT development, wind turbines, and organic Rankine cycle system.

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Nematollahi, O., Nili-Ahmadabadi, M. & Kim, K.C. The influence of cubic real-gas equations of state in the supersonic regime of dense gases. J Mech Sci Technol 34, 1581–1589 (2020). https://doi.org/10.1007/s12206-020-0320-3

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  • DOI: https://doi.org/10.1007/s12206-020-0320-3

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