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

Geum Su Yeom; Jung Il Choi

doi:10.1016/j.ijheatmasstransfer.2019.03.125

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

Geum Su Yeom, Jung Il Choi

Department of Computational Science and Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	523-533
Number of pages	11
Journal	International Journal of Heat and Mass Transfer
Volume	137
DOIs	https://doi.org/10.1016/j.ijheatmasstransfer.2019.03.125
Publication status	Published - 2019 Jul

Bibliographical note

Funding Information:
This work was supported by the Agency for Defense Development of Korea under the contract UD170053GD , and the National Research Foundation of Korea (NRF) grant funded by the Korea Government (Ministry of Science and ICT) (No. NRF-20151009350 ). The first author was financially supported by the Kunsan National University’s Long-term Overseas Research Program for Faculty Member in the year 2019.

Funding Information:
This work was supported by the Agency for Defense Development of Korea under the contract UD170053GD, and the National Research Foundation of Korea(NRF) grant funded by the Korea Government (Ministry of Science and ICT) (No. NRF-20151009350). The first author was financially supported by the Kunsan National University's Long-term Overseas Research Program for Faculty Member in the year 2019.

Publisher Copyright:
© 2019 Elsevier Ltd

All Science Journal Classification (ASJC) codes

Condensed Matter Physics
Mechanical Engineering
Fluid Flow and Transfer Processes

Access to Document

10.1016/j.ijheatmasstransfer.2019.03.125

Cite this

@article{843d4b63983049029171da48409a73c3,

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

abstract = "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.",

author = "Yeom, {Geum Su} and Choi, {Jung Il}",

note = "Funding Information: This work was supported by the Agency for Defense Development of Korea under the contract UD170053GD , and the National Research Foundation of Korea (NRF) grant funded by the Korea Government (Ministry of Science and ICT) (No. NRF-20151009350 ). The first author was financially supported by the Kunsan National University{\textquoteright}s Long-term Overseas Research Program for Faculty Member in the year 2019. Funding Information: This work was supported by the Agency for Defense Development of Korea under the contract UD170053GD, and the National Research Foundation of Korea(NRF) grant funded by the Korea Government (Ministry of Science and ICT) (No. NRF-20151009350). The first author was financially supported by the Kunsan National University's Long-term Overseas Research Program for Faculty Member in the year 2019. Publisher Copyright: {\textcopyright} 2019 Elsevier Ltd",

year = "2019",

month = jul,

doi = "10.1016/j.ijheatmasstransfer.2019.03.125",

language = "English",

volume = "137",

pages = "523--533",

journal = "International Journal of Heat and Mass Transfer",

issn = "0017-9310",

publisher = "Elsevier Limited",

}

TY - JOUR

T1 - Efficient exact solution procedure for quasi-one-dimensional nozzle flows with stiffened-gas equation of state

AU - Yeom, Geum Su

AU - Choi, Jung Il

N1 - Funding Information: This work was supported by the Agency for Defense Development of Korea under the contract UD170053GD , and the National Research Foundation of Korea (NRF) grant funded by the Korea Government (Ministry of Science and ICT) (No. NRF-20151009350 ). The first author was financially supported by the Kunsan National University’s Long-term Overseas Research Program for Faculty Member in the year 2019. Funding Information: This work was supported by the Agency for Defense Development of Korea under the contract UD170053GD, and the National Research Foundation of Korea(NRF) grant funded by the Korea Government (Ministry of Science and ICT) (No. NRF-20151009350). The first author was financially supported by the Kunsan National University's Long-term Overseas Research Program for Faculty Member in the year 2019. Publisher Copyright: © 2019 Elsevier Ltd

PY - 2019/7

Y1 - 2019/7

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85063516936&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85063516936&partnerID=8YFLogxK

U2 - 10.1016/j.ijheatmasstransfer.2019.03.125

DO - 10.1016/j.ijheatmasstransfer.2019.03.125

M3 - Article

AN - SCOPUS:85063516936

SN - 0017-9310

VL - 137

SP - 523

EP - 533

JO - International Journal of Heat and Mass Transfer

JF - International Journal of Heat and Mass Transfer

ER -

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

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this