Two-phase nozzle flow and the subcharacteristic condition

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Two-phase nozzle flow and the subcharacteristic condition. / Linga, Gaute; Aursand, Peder; Flåtten, Tore.

In: Journal of Mathematical Analysis and Applications, Vol. 426, No. 2, 15.06.2015, p. 917-934.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Linga, G, Aursand, P & Flåtten, T 2015, 'Two-phase nozzle flow and the subcharacteristic condition', Journal of Mathematical Analysis and Applications, vol. 426, no. 2, pp. 917-934. https://doi.org/10.1016/j.jmaa.2015.01.065

APA

Linga, G., Aursand, P., & Flåtten, T. (2015). Two-phase nozzle flow and the subcharacteristic condition. Journal of Mathematical Analysis and Applications, 426(2), 917-934. https://doi.org/10.1016/j.jmaa.2015.01.065

Vancouver

Linga G, Aursand P, Flåtten T. Two-phase nozzle flow and the subcharacteristic condition. Journal of Mathematical Analysis and Applications. 2015 Jun 15;426(2):917-934. https://doi.org/10.1016/j.jmaa.2015.01.065

Author

Linga, Gaute ; Aursand, Peder ; Flåtten, Tore. / Two-phase nozzle flow and the subcharacteristic condition. In: Journal of Mathematical Analysis and Applications. 2015 ; Vol. 426, No. 2. pp. 917-934.

Bibtex

@article{7e3c0e566dd74e93af20ed17fb4e10da,
title = "Two-phase nozzle flow and the subcharacteristic condition",
abstract = "We consider nozzle flow models for two-phase flow with phase transfer. Such models are based on energy considerations applied to the frozen and equilibrium limits of the underlying relaxation models. In this paper, we provide an explicit link between the mass flow rate predicted by these models and the classical subcharacteristic condition of Chen, Levermore and Liu. In particular, we demonstrate that for sufficiently small pressure differences, the equilibrium nozzle model will predict a lower mass flow rate than the frozen model when the subcharacteristic condition is satisfied. An application to tank leakage of CO2 is presented, indicating that the frozen and equilibrium models provide significantly different predictions. This difference is comparable in magnitude to the modeling error introduced by applying simple ideal-gas/incompressible-liquid equations-of-state for CO2.",
keywords = "Nozzle flow, Subcharacteristic condition, Two-phase flow",
author = "Gaute Linga and Peder Aursand and Tore Fl{\aa}tten",
year = "2015",
month = jun,
day = "15",
doi = "10.1016/j.jmaa.2015.01.065",
language = "English",
volume = "426",
pages = "917--934",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press",
number = "2",

}

RIS

TY - JOUR

T1 - Two-phase nozzle flow and the subcharacteristic condition

AU - Linga, Gaute

AU - Aursand, Peder

AU - Flåtten, Tore

PY - 2015/6/15

Y1 - 2015/6/15

N2 - We consider nozzle flow models for two-phase flow with phase transfer. Such models are based on energy considerations applied to the frozen and equilibrium limits of the underlying relaxation models. In this paper, we provide an explicit link between the mass flow rate predicted by these models and the classical subcharacteristic condition of Chen, Levermore and Liu. In particular, we demonstrate that for sufficiently small pressure differences, the equilibrium nozzle model will predict a lower mass flow rate than the frozen model when the subcharacteristic condition is satisfied. An application to tank leakage of CO2 is presented, indicating that the frozen and equilibrium models provide significantly different predictions. This difference is comparable in magnitude to the modeling error introduced by applying simple ideal-gas/incompressible-liquid equations-of-state for CO2.

AB - We consider nozzle flow models for two-phase flow with phase transfer. Such models are based on energy considerations applied to the frozen and equilibrium limits of the underlying relaxation models. In this paper, we provide an explicit link between the mass flow rate predicted by these models and the classical subcharacteristic condition of Chen, Levermore and Liu. In particular, we demonstrate that for sufficiently small pressure differences, the equilibrium nozzle model will predict a lower mass flow rate than the frozen model when the subcharacteristic condition is satisfied. An application to tank leakage of CO2 is presented, indicating that the frozen and equilibrium models provide significantly different predictions. This difference is comparable in magnitude to the modeling error introduced by applying simple ideal-gas/incompressible-liquid equations-of-state for CO2.

KW - Nozzle flow

KW - Subcharacteristic condition

KW - Two-phase flow

U2 - 10.1016/j.jmaa.2015.01.065

DO - 10.1016/j.jmaa.2015.01.065

M3 - Journal article

AN - SCOPUS:84923627778

VL - 426

SP - 917

EP - 934

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 2

ER -

ID: 170017258