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research-article

Correlations for the choked mass and momentum flux density considering real-gas thermodynamics

[+] Author and Article Information
Matthias Banholzer

Research Associate, Institute for Thermodynamics, Bundeswehr University Munich, Werner-Heisenberg-Weg 39, 85577 Neubiberg, Germany
matthias.banholzer@unibw.de

Michael Pfitzner

Professor, Institute for Thermodynamics, Bundeswehr University Munich, Werner-Heisenberg-Weg 39, 85577 Neubiberg, Germany
michael.pfitzner@unibw.de

1Corresponding author.

ASME doi:10.1115/1.4042376 History: Received September 13, 2018; Revised December 20, 2018

Abstract

The choked mass flux density and the choked momentum flux density for the non-ideal fluids methane and nitrogen have been calculated using the Soave-Redlich-Kwong equation of state. For the computation a steady, one-dimensional, 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 CFD simulations are carried out in order to validate the findings of the algorithm and the proposed correlations.

Copyright (c) 2018 by ASME
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