Efficient exact solution procedure for quasi-one-dimensional nozzle flows with stiffened-gas equation of state

•We formulate a stiffened gas equation of state (SG-EOS) for compressible liquids.•We propose an exact solution procedure with SG-EOS for quasi-1D nozzle flows.•A direct shock wave searching enables efficient and accurate computations.•The proposed method is applied to quasi-1D converging-diverging...

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Bibliographic Details
Published in:International journal of heat and mass transfer 2019-07, Vol.137, p.523-533
Main Authors: Yeom, Geum-Su, Choi, Jung-Il
Format: Article
Language:English
Subjects:
Boundary conditions
Choked flow
Compressibility
Compressible fluid
Computational grids
Converging–diverging nozzle
Equations of state
Exact solutions
Exact solver
Liquids
Nozzle flow
Parameters
Shock Hugoniot data
Shock wave
Shock waves
Stiffened–gas equation of state
Two phase flow
Water
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Summary:•We formulate a stiffened gas equation of state (SG-EOS) for compressible liquids.•We propose an exact solution procedure with SG-EOS for quasi-1D nozzle flows.•A direct shock wave searching enables efficient and accurate computations.•The proposed method is applied to quasi-1D converging-diverging nozzle flows.•We validate the proposed method for various nozzle flows. We propose an efficient and accurate exact solution procedure for the converging–diverging nozzle flows of compressible liquids governed by a stiffened-gas equation of state (SG-EOS). First, we elaborate on how to formulate a complete SG-EOS and suggest a new method to determine the parameters of SG-EOS. Next, we derive the relations for the quasi-one-dimensional nozzle flow of the SG-EOS liquids and propose an efficient solution procedure to obtain the exact solution at various boundary conditions. The proposed solution procedure can accurately calculate the position of the shock wave regardless of the number of computational grid points. We then verify the solution procedure against the previous results for the air and water nozzle flows. We also investigate the influence of the SG-EOS parameters on the nozzle flow of liquid water containing a shock wave. The proposed solution procedure can be used for the basic design of a compressible liquid nozzle and the validation of compressible two-phase flow model.
ISSN:0017-9310
1879-2189
DOI:10.1016/j.ijheatmasstransfer.2019.03.125