A linear stability analysis is performed for a two-phase flow in a channel to demonstrate the feasibility of using momentum flux parameters to improve the one-dimensional two-fluid model. It is shown that the proposed model is stable within a practical range of pressure and void fraction for a bubbly and a slug flow.

1.
Ramshaw
,
J. D.
, and
Trapp
,
J. D.
,
1978
, “
Characteristics, Stability, and Short-Wavelength Phenomena in Two-Phase Flow Equation Systems
,”
Nucl. Sci. Eng.
,
66
, pp.
93
102
.
2.
Stuhmiller
,
J. H.
,
1977
, “
The Influence of Interfacial Pressure Forces on the Character of Two-Phase Flow Model Equations
,”
Int. J. Multiphase Flow
,
3
, pp.
551
560
.
3.
Lahey
,
R. T.
,
Cheng
,
L. Y.
,
Drew
,
D. A.
, and
Flaherty
,
J. E.
,
1980
, “
The Effect of Virtual Mass on the Numerical Stability of Accelerating Two-Phase Flow
,”
Int. J. Multiphase Flow
,
6
, pp.
281
294
.
4.
Song
,
J. H.
, and
Ishii
,
M.
,
2001
, “
On the Stability of a One-Dimensional Two-Fluid Model
,”
Nucl. Eng. Des.
,
204
, pp.
101
115
.
5.
Ishii
,
M.
, and
Mishima
,
K.
,
1984
, “
Two-Fluid Model and Hydrodynamic Constitutive Relations
,”
Nucl. Eng. Des.
,
pp.
107
126
.
6.
Pokharna
,
H.
,
Mori
,
M.
, and
Ransom
,
V. H.
,
1997
, “
Regularization of Two-Phase Flow Models: A Comparison of Numerical and Differential Approaches
,”
J. Comput. Phys.
,
134
, pp.
282
295
.
7.
Ishii
,
M.
, and
Zuber
,
N.
,
1979
, “
Drag Coefficient and Relative Velocity in Bubbly, Droplet or Particulate Flows
,”
AIChE J.
,
25
(
5
), pp.
843
855
.
8.
Ishii, M., 1977, “One Dimensional Drift-Flux Model and Constitutive Equations for Relative Motion between Phases in Various Two-Phase Flow Regimes,” Paper No. ANL-77-47.
9.
Van der Welle
,
R.
,
1985
, “
Void Fraction, Bubble Velocity, and Bubble Size in Two-Phase Flow
,”
Int. J. Multiphase Flow
,
11
(
3
), pp.
17
34
.
You do not currently have access to this content.