The choked mass flux density and the choked momentum flux density for the nonideal fluids methane and nitrogen have been calculated using the Soave–Redlich–Kwong equation of state (EoS). For the computation a steady, one-dimensional (1D), isenthalpic and isentropic flow is assumed. The developed algorithm for the calculation of the choked flow properties includes a bounded multidimensional Newton method. A possible second phase emerging in the critical nozzle area is excluded using the saturation properties of the considered fluids. The critical ratios of pressure, density, temperature, and speed of sound are discussed and compared to other publications. Formulations of the choked mass flux density and the choked momentum flux density explicit in Tr, pr, and Zr are given valid for different reduced pressures and temperatures depending on the fluid. Additional computational fluid dynamics (CFD) simulations are carried out in order to validate the findings of the algorithm and the proposed correlations.
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August 2019
Research-Article
Correlations for the Choked Mass and Momentum Flux Density Considering Real-Gas Thermodynamics
Matthias Banholzer,
Matthias Banholzer
Institute for Thermodynamics,
Bundeswehr University Munich,
Werner-Heisenberg-Weg 39,
Neubiberg 85577, Germany
e-mail: matthias.banholzer@unibw.de
Bundeswehr University Munich,
Werner-Heisenberg-Weg 39,
Neubiberg 85577, Germany
e-mail: matthias.banholzer@unibw.de
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Michael Pfitzner
Michael Pfitzner
Institute for Thermodynamics,
Bundeswehr University Munich,
Werner-Heisenberg-Weg 39,
Neubiberg 85577, Germany
e-mail: michael.pfitzner@unibw.de
Bundeswehr University Munich,
Werner-Heisenberg-Weg 39,
Neubiberg 85577, Germany
e-mail: michael.pfitzner@unibw.de
Search for other works by this author on:
Matthias Banholzer
Institute for Thermodynamics,
Bundeswehr University Munich,
Werner-Heisenberg-Weg 39,
Neubiberg 85577, Germany
e-mail: matthias.banholzer@unibw.de
Bundeswehr University Munich,
Werner-Heisenberg-Weg 39,
Neubiberg 85577, Germany
e-mail: matthias.banholzer@unibw.de
Michael Pfitzner
Institute for Thermodynamics,
Bundeswehr University Munich,
Werner-Heisenberg-Weg 39,
Neubiberg 85577, Germany
e-mail: michael.pfitzner@unibw.de
Bundeswehr University Munich,
Werner-Heisenberg-Weg 39,
Neubiberg 85577, Germany
e-mail: michael.pfitzner@unibw.de
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received September 13, 2018; final manuscript received December 20, 2018; published online January 30, 2019. Assoc. Editor: Sergio Pirozzoli.
J. Fluids Eng. Aug 2019, 141(8): 081202 (10 pages)
Published Online: January 30, 2019
Article history
Received:
September 13, 2018
Revised:
December 20, 2018
Citation
Banholzer, M., and Pfitzner, M. (January 30, 2019). "Correlations for the Choked Mass and Momentum Flux Density Considering Real-Gas Thermodynamics." ASME. J. Fluids Eng. August 2019; 141(8): 081202. https://doi.org/10.1115/1.4042376
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