Slug modeling with 1D two-fluid model
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Abstract
Simulations of condensation-induced water hammer with one-dimensional two-fluid model requires explicit modeling of slug formation, slug propagation, and in some cases slug decay. Stratified flow correlations that are more or less well known in 1D two-fluid models, are crucial for accurate description of the initial phase of the slug formation and slug propagation. Slug formation means transition to other flow regime that requires different set of correlations. To use such two-fluid model for condensation induced water hammer simulations, a single slug must be explicitly recognized and captured. In the present work two cases of condensation-induced water hammer simulations performed with WAHA code, are described and discussed: injection of cold liquid into horizontal pipe filled with steam and injection of hot steam into horizontal pipe partially filled with cold liquid.
Kurzfassung
Simulationen von kondensations-induzierten Wasserschlägen mit eindimensionalen Zwei-Fluid-Modell erfordern die explizite Modellierung der Bildung von Pfropfen, deren Wachstum und in einigen Fällen auch deren Zerfall. Korrelationen für stratifizierte Strömungen, die mehr oder weniger gut bekannt in eindimensionalen Zweiphasen-Modellen Verwendung finden, sind entscheidend für eine genaue Beschreibung der Anfangsphase der Pfropfen-Bildung und dessen Wachstums. Die Pfropfen-Bildung bedeutet einen Übergang zu einer anderen Strömungsform, die einen anderen Satz von Korrelationen erfordert. Um ein solches Zwei-Fluid-Modell zur Simulation von Kondensationsschlägen anwenden zu können, muss ein einzelner Pfropfen explizit erkannt bzw. behandelt werden. In der vorliegenden Arbeit werden zwei Beispiele von Kondensationsschlägen vorgestellt und diskutiert. Mit dem Rechencode WAHA wurde die Einspeisung von kaltem Fluid in eine horizontale, mit Dampf gefüllte Rohrleitung und die Einspeisung von Dampf in eine horizontale, teilweise mit kaltem Fluid gefüllte Rohrleitung berechnet.
References
1 Tiselj, I.; Horvat, A.; Čverne, G.; Gale, J.; Parzer, I.; Mavko, B.; Giot, M.; Seynhaeve, J. M.; Kucienska, B.; Lemonnier, H.: WAHA3 Code Manual. Jožvef Stefan Institute Report, IJS-DP-8841, 2004Search in Google Scholar
2 Carlson, K. E.; Riemke, R. A.; Rouhani, S. Z.; Shumway, R. W.; Weaver, W. L.: RELAP5/MOD3 Code Manual. Vol. 1–7, NUREG/CR-5535, EG&G Idaho, Idaho Falls, (1990)Search in Google Scholar
3 Bestion, D.: The Physical closure laws in the CATHARE code. Nuclear Engineering and Design124 (1990) 229–24510.1016/0029-5493(90)90294-8Search in Google Scholar
4 Taitel, Y.; Dukler, A. E.: A model for predictiong flow regime transitions in horizontal and near horizontal gas-liquid flows. AICHE Journal22 (1976) 47–5510.1002/aic.690220105Search in Google Scholar
5 Lin, P. Y.; Hanratty, T. J.: Prediction of the initiation of slugs with linear stability theory. International Journal of Multiphase Flow12 (1986) 79–9810.1016/0301-9322(86)90005-4Search in Google Scholar
6 Issa, R. I.; Kempf, M. H. W.: Simulation of slug flow in horizontal and nearly horizontal pipes with the two-fluid model. International Journal of Multiphase Flow29 (2003) 69–9610.1016/S0301-9322(02)00127-1Search in Google Scholar
7 Tiselj, I.; Martin, C. S.: Two-fluid model for 1D simulations of water hammer induced by condensation of hot vapor on the horizontally stratified flow. 7th International Conference on Multiphase Flow, ICMF 2010, Tampa, FL USA, May 30-June 4, 2010Search in Google Scholar
8 DobsonM.K.; ChatoJ.C.: Condensation in smooth horizontal tubes, Journal of Heat Transfer – ASME120, (1998) 193–21310.1115/1.2830043Search in Google Scholar
9 Bartosiewicz, Y.; Seynhaeve, J.-M.; Vallée, C.; Höhne, T.; Laviéville, J.-M.: Modeling free surface flows relevant to a PTS scenario: Comparison between experimental data and three RANS based CFD-codes. Comments on the CFD-experiment integration and best practice guideline. Nuclear Engineering and Design240 (2010) 2375–238110.1016/j.nucengdes.2010.04.032Search in Google Scholar
10 Vallée, C.; Lucas, D.; Beyer, M.; Pietruske, H.; Schütz, P.; Carl, H.: Experimental CFD grade data for stratified two-phase flows. Nuclear Engineering and Design240 (2010) 2347–235610.1016/j.nucengdes.2009.11.011Search in Google Scholar
11 Griffith, P.: Screening Reactor Steam/Water Piping Systems for Water Hammer, NUREG/CR-6519, US-NRC, (1996)Search in Google Scholar
12 #138;trubelj, L.; Ézsol, G.; Tiselj, I.: Direct contact condensation induced transition from stratified to slug flow. Nuclear Engineering and Design240 (2010) 266–274, doi: 10.1016/j.nucengdes.2008.12.004, 201010.1016/j.nucengdes.2008.12.004Search in Google Scholar
13 Martin, C. S.; Brown, R.; Brown, J.: Condensation-Induced Hydraulic Shock Laboratory Study. ASHRAE 970-RP, June 2007Search in Google Scholar
14 Bjorge, R. W.; Griffith, P.: Initiation of Waterhammer in horizontal and nearly horizontal pipes containing steam and subcooled water. ASME Journal of Heat Transfer106 (1984) 835–84010.1115/1.3246760Search in Google Scholar
15 Martin, C. S.: Condensation-induced water hammer in a horizontal refrigerant pipe. Proceedings of BHR Pressure Surges (2004) 581–589Search in Google Scholar
16 Tiselj, I.; Petelin, S.: Modelling of Two-Phase Flow with Second-Order Accurate Scheme. Journal of Computational Physics136 (1997) 503–52110.1006/jcph.1997.5778Search in Google Scholar
17 Cizelj, L.; Koncar, B.; Leskovar, M.: Vulnerability of a partially flooded PWR reactor cavity to a steam explosion. Nuclear Engineering and Design236 (2006) 1617–162710.1016/j.nucengdes.2006.04.018Search in Google Scholar
© 2012, Carl Hanser Verlag, München
Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Editorial
- Pressure Surges in Nuclear Power Plants – selected contributions for the homonymous mini-symposium of the NURETH-14 in Toronto
- Technical Contributions/Fachbeiträge
- Maintaining competence in nuclear safety and waste management research by BMBF
- Computational models to dertermine fluiddynamical transients due to condensation induced water hammer (CIWH)
- Condensation-induced water hammer in a horizontal pipe
- Slug modeling with 1D two-fluid model
- Delayed equilibrium model and validation experiments for two-phase choked flows relevant to LOCA
- Tripartite mass transfer model: development, implementation in DYVRO, verification and validation
- Condensation induced water hammer – overview and own experiments
- A discussion of hyperbolicity in CATHENA 4: Virtual Mass and phase-to-interface pressure differences
- Pressure surge in Wendelstein 7-X experimental stellarator facility
- Condensation induced water hammer and steam assisted gravity drainage in the Athabasca oil sands
Articles in the same Issue
- Contents/Inhalt
- Contents
- Summaries/Kurzfassungen
- Summaries
- Editorial
- Pressure Surges in Nuclear Power Plants – selected contributions for the homonymous mini-symposium of the NURETH-14 in Toronto
- Technical Contributions/Fachbeiträge
- Maintaining competence in nuclear safety and waste management research by BMBF
- Computational models to dertermine fluiddynamical transients due to condensation induced water hammer (CIWH)
- Condensation-induced water hammer in a horizontal pipe
- Slug modeling with 1D two-fluid model
- Delayed equilibrium model and validation experiments for two-phase choked flows relevant to LOCA
- Tripartite mass transfer model: development, implementation in DYVRO, verification and validation
- Condensation induced water hammer – overview and own experiments
- A discussion of hyperbolicity in CATHENA 4: Virtual Mass and phase-to-interface pressure differences
- Pressure surge in Wendelstein 7-X experimental stellarator facility
- Condensation induced water hammer and steam assisted gravity drainage in the Athabasca oil sands
