New analytical solutions to the twophase water faucet problem
Abstract
Here, the onedimensional water faucet problem is one of the classical benchmark problems originally proposed by Ransom to study the twofluid twophase flow model. With certain simplifications, such as massless gas phase and no wall and interfacial frictions, analytical solutions had been previously obtained for the transient liquid velocity and void fraction distribution. The water faucet problem and its analytical solutions have been widely used for the purposes of code assessment, benchmark and numerical verifications. In our previous study, the Ransom’s solutions were used for the mesh convergence study of a highresolution spatial discretization scheme. It was found that, at the steady state, an anticipated secondorder spatial accuracy could not be achieved, when compared to the existing Ransom’s analytical solutions. A further investigation showed that the existing analytical solutions do not actually satisfy the commonly used twofluid singlepressure twophase flow equations. In this work, we present a new set of analytical solutions of the water faucet problem at the steady state, considering the gas phase density’s effect on pressure distribution. This new set of analytical solutions are used for mesh convergence studies, from which anticipated secondorder of accuracy is achieved for the 2nd order spatial discretization scheme. In addition, extendedmore »
 Authors:

 Idaho National Lab. (INL), Idaho Falls, ID (United States)
 Publication Date:
 Research Org.:
 Idaho National Lab. (INL), Idaho Falls, ID (United States)
 Sponsoring Org.:
 USDOE Office of Nuclear Energy (NE)
 OSTI Identifier:
 1363780
 Alternate Identifier(s):
 OSTI ID: 1341208
 Report Number(s):
 INL/JOU1637695
Journal ID: ISSN 01491970; PII: S0149197016301202
 Grant/Contract Number:
 AC0705ID14517
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Progress in Nuclear Energy
 Additional Journal Information:
 Journal Volume: 91; Journal Issue: C; Journal ID: ISSN 01491970
 Publisher:
 Elsevier
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; analytical solutions; numerical verifications; twophase flow; water faucet problem
Citation Formats
Zou, Ling, Zhao, Haihua, and Zhang, Hongbin. New analytical solutions to the twophase water faucet problem. United States: N. p., 2016.
Web. doi:10.1016/j.pnucene.2016.05.013.
Zou, Ling, Zhao, Haihua, & Zhang, Hongbin. New analytical solutions to the twophase water faucet problem. United States. doi:10.1016/j.pnucene.2016.05.013.
Zou, Ling, Zhao, Haihua, and Zhang, Hongbin. Fri .
"New analytical solutions to the twophase water faucet problem". United States. doi:10.1016/j.pnucene.2016.05.013. https://www.osti.gov/servlets/purl/1363780.
@article{osti_1363780,
title = {New analytical solutions to the twophase water faucet problem},
author = {Zou, Ling and Zhao, Haihua and Zhang, Hongbin},
abstractNote = {Here, the onedimensional water faucet problem is one of the classical benchmark problems originally proposed by Ransom to study the twofluid twophase flow model. With certain simplifications, such as massless gas phase and no wall and interfacial frictions, analytical solutions had been previously obtained for the transient liquid velocity and void fraction distribution. The water faucet problem and its analytical solutions have been widely used for the purposes of code assessment, benchmark and numerical verifications. In our previous study, the Ransom’s solutions were used for the mesh convergence study of a highresolution spatial discretization scheme. It was found that, at the steady state, an anticipated secondorder spatial accuracy could not be achieved, when compared to the existing Ransom’s analytical solutions. A further investigation showed that the existing analytical solutions do not actually satisfy the commonly used twofluid singlepressure twophase flow equations. In this work, we present a new set of analytical solutions of the water faucet problem at the steady state, considering the gas phase density’s effect on pressure distribution. This new set of analytical solutions are used for mesh convergence studies, from which anticipated secondorder of accuracy is achieved for the 2nd order spatial discretization scheme. In addition, extended Ransom’s transient solutions for the gas phase velocity and pressure are derived, with the assumption of decoupled liquid and gas pressures. Numerical verifications on the extended Ransom’s solutions are also presented.},
doi = {10.1016/j.pnucene.2016.05.013},
journal = {Progress in Nuclear Energy},
number = C,
volume = 91,
place = {United States},
year = {2016},
month = {6}
}
Web of Science