A means was developed for extending the predictive capability of the Equivalent Single-Tube Model (ESTM) to accurately predict the onset of a self-sustained oscillatory flow instability for a multitube condensing flow system. The model includes the effects of compressibility, subcooled liquid inertia, and thermal and flow distribution asymmetry. Previously, liquid inertia, a necessary mechanism for the instability, had not been modeled for a multitube system. Extensive experimental data was obtained for a two-tube system that verifies not only the predictive capability of the ESTM, but also its accuracy and its wide range of applicability.

1.
Bhatt
,
B. L.
, and
Wedekind
,
G. L.
,
1980
, “
A Self-Sustained Oscillatory Flow Phenomenon in Two-Phase Condensing Flow Systems
,”
ASME J. Heat Transfer
,
102
, No.
4
, pp.
695
700
.
2.
Bhatt
,
B. L.
,
Wedekind
,
G. L.
, and
Jung
,
K.
,
1989
, “
Effects of Two-Phase Pressure Drop on the Self-Sustained Oscillatory Instability in Condensing Flow
,”
ASME J. Heat Transfer
,
111
, pp.
538
545
.
3.
Kobus
,
C. J.
,
Wedekind
,
G. L.
, and
Bhatt
,
B. L.
,
1998
, “
Application of an Equivalent Single-Tube Model for Predicting Frequency-Response Characteristics of Multitube Two-Phase Condensing Flow Systems with Thermal and Flow Distribution Asymmetry
,”
ASME J. Heat Transfer
,
120
, No.
2
, pp.
528
530
.
4.
Kobus
,
C. J.
,
Wedekind
,
G. L.
, and
Bhatt
,
B. L.
,
2000
, “
Predicting the Influence of Compressibility and Thermal and Flow Distribution Asymmetry on the Frequency-Response Characteristics of Multitube Two-Phase Condensing Flow Systems
,”
ASME J. Heat Transfer
,
122
, No.
1
, pp.
196
200
.
5.
Wedekind
,
G. L.
,
Kobus
,
C. J.
, and
Bhatt
,
B. L.
,
1997
, “
Modeling the Characteristics of Thermally Governed Transient Flow Surges in Multitube Two-Phase Condensing Flow Systems with Compressibility and Thermal and Flow Distribution Asymmetry
,”
ASME J. Heat Transfer
,
119
, No.
3
, pp.
534
543
.
6.
Lahey, R. T., and Drew, D. A., 1980, “An Assessment of the Literature Related to LWR Instability Modes,” NUREG/CR-1414, prepared for U.S. Nuclear Regulatory Commission, Washington D.C. 20555, NRC FIN NO:B6461.
7.
Block
,
J. A.
,
1980
, “
Condensation-Driven Fluid Motion
,”
Int. J. Multiphase Flow
,
6
, pp.
113
129
.
8.
Calia, C., and Griffith, P., 1981, “Modes of Circulation in an Inverted U-Tube Array with Condensation,” Thermal-Hydraulics in Nuclear Power Technology, ASME HTD-15, 20th National Heat Transfer Conference, Milwaukee, Wisconsin, pp. 35–43, August 2–5.
9.
Pitts
,
J. H.
,
1980
, “
Steam Chugging in a Boiling Water reactor Pressure-Suppression System
,”
Int. J. Multiphase Flow
,
6
, pp.
329
344
.
10.
Wang, S. S., Sargin, D. A., Stuhmiller, J. H., and Masiello, P. J., 1981, “Numerical Simulation of Condensation Phenomena in Reactor Steam Suppression Systems,” AIChE Symposium, Series No. 208, 77, pp. 180–190.
11.
Soliman, M., and Berenson, P. J., 1970, “Flow Stability and Gravitational Effects in Condenser Tubes,” Proceedings of the Fourth International Heat Transfer Conference, Paris, France, VI, Paper No. Cs 1.8.
12.
Boyer
,
D. B.
,
Robinson
,
G. E.
, and
Hughes
,
T. G.
,
1995
, “
Experimental Investigation of Flow Regimes and Oscillatory Phenomena of Condensing Steam in a Single Vertical Annular Passage
,”
Int. J. Multiphase Flow
,
21
, No.
1
, pp.
61
74
.
13.
Kishimoto, T., and Harada, A., 1992, “Two-Phase Thermal Siphon Cooling for Telecom Multichip Modules,” Advances in Electronic Packaging, First Joint ASME/JSME Conference on Electronic Packaging, Milpitas, CA, pp. 135–141, April.
14.
Wedekind
,
G. L.
, and
Bhatt
,
B. L.
,
1977
, “
An Experimental and Theoretical Investigation into Thermally Governed Transient Flow Surges in Two-Phase Condensing Flow
,”
ASME J. Heat Transfer
,
99
, pp.
561
567
.
15.
Zivi
,
S. M.
,
1964
, “
Estimation of Steady-State Steam Void Fraction by Means of the Principle of Minimum Entropy Production
,”
ASME J. Heat Transfer
,
86
, p.
247
247
.
16.
Kobus, C. J., 1998, “Application of the System Mean Void Fraction Model in Formulating an Equivalent Single-Tube Model for Predicting Various Transient and Unstable Flow Phenomena Associated with Horizontal Multitube Two-Phase Condensing Flow Systems with and without the Effects of Com-pressibility, Inertia, and Thermal and Flow Distribution Asymmetry,” Ph.D. thesis, Oakland University, Rochester, Michigan.
17.
Rabas
,
T. J.
, and
Minard
,
P. G.
,
1987
, “
Two types of Flow Instabilities Occurring inside Horizontal Tubes with Complete Condensation
,”
Heat Transfer Eng.
,
8
, No.
1
, pp.
40
49
.
18.
Wedekind
,
G. L.
, and
Bhatt
,
B. L.
,
1989
, “
Modeling the Thermally Governed Transient Flow Surges in Multitube Condensing Flow Systems with Thermal and Flow Distribution Asymmetry
,”
ASME J. Heat Transfer
,
111
, No.
3
, pp.
786
791
.
19.
Bhatt, B. L., and Wedekind, G. L., 1984, “An Experimental and Theoretical Study into the Determination of Condensing Length,” Basic Aspects of Two-Phase Flow and Heat Transfer, 22nd National Heat Transfer Conference, V. K. Dhir and V. E. Schrock, eds., Niagara Falls, NY, pp. 179–183.
20.
White, F. M., 1984, Heat Transfer, Addison-Wesley, Reading, MA, pp. 216–217.
You do not currently have access to this content.