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S. P. Tang and J. B. Fenn, “Experimental Determination of the Discharge Coefficients for Critical Flow through an Axisymmetric Nozzle,” The American Institute of Aeronautics and Astronautics Journal, Vol. 16, No. 1, 1978, pp. 41-46. doi:10.2514/3.60854

has been cited by the following article:

• TITLE: Numerical Study on the Effect of Unsteady Downstream Conditions on Hydrogen Gas Flow through a Critical Nozzle

  AUTHORS: Junji Nagao, Shigeru Matsuo, Toshiaki Setoguchi, Heuy Dong Kim

  KEYWORDS: Compressible Flow; Critical Nozzle; Pressure Fluctuation; Measurement; Supersonic Flow

  JOURNAL NAME: Open Journal of Fluid Dynamics, Vol.2 No.4, December 18, 2012

  ABSTRACT: A critical nozzle (sonic nozzle) is used to measure the mass flow rate of gas. It is well known that the coefficient of discharge of the flow in the nozzle is a single function of Reynolds number. The purpose of the present study is to investigate the effect of unsteady downstream condition on hydrogen gas flow through a sonic nozzle, numerically. Navier-Stokes equations were solved numerically using 3rd-order MUSCL type TVD finite-difference scheme with a second-order fractional-step for time integration. A standard k-ε model was used as a turbulence model. The computational results showed that the discharge coefficients in case without pressure fluctuations were in good agreement with experimental results. Further, it was found that the pressure fluctuations tended to propagate upstream of nozzle throat with the decrease of Reynolds number and an increase of amplitude of pressure fluctuations.