Investigation on cavitation in multicomponent (solid-liquid and liquid-liquid) mixtures has many applications in the industries and engineering. In this paper, for simulation of multicomponent mixtures, a set of equations with first-order bubble-wall Mach number is derived for a single spherical bubble in quasihomogeneous mixtures. Cavitation bubble behaviors in several kinds of liquid-liquid and solid-liquid mixtures are numerically calculated based on the current model, including the temporal variations in the bubble radius, pressure, and temperature inside the bubble. Specifically, the analysis is focused on the impact of pressure and temperature, while the bubble collapses in the mixtures. The computed results are compared with the previously reported experimental ones to demonstrate the validity of the current model and the numerical procedures.

1.
Birkin
,
P. R.
,
Offin
,
D. G.
,
Joseph
,
P. F.
, and
Leighton
,
T. G.
, 2005, “
Cavitation, Shock Waves and the Invasive Nature of Sonoelectrochemistry
,”
J. Phys. Chem. B
,
109
(
35
), pp.
16997
17005
. 1520-6106
2.
Gogate
,
P. R.
, and
Pandit
,
A. B.
, 2005, “
A Review and Assessment of Hydrodynamic Cavitation as a Technology for the Future
,”
Ultrason. Sonochem.
1350-4177,
12
(
1–2
), pp.
21
27
.
3.
Suslick
,
K. S.
, and
Price
,
G. J.
, 1999, “
Applications of Ultrasound to Materials Chemistry
,”
Annu. Rev. Mater. Sci.
0084-6600,
29
, pp.
295
326
.
4.
Suslick
,
K. S.
,
Mdleleni
,
M. M.
, and
Ries
,
J. T.
, 1997, “
Chemistry Induced by Hydrodynamic Cavitation
,”
J. Am. Chem. Soc.
0002-7863,
119
(
39
), pp.
9303
9304
.
5.
Thompson
,
L. H.
, and
Doraiswamy
,
L. K.
, 1999, “
Sonochemistry: Science and Engineering
,”
Ind. Eng. Chem. Res.
0888-5885,
38
(
4
), pp.
1215
1249
.
6.
Plesset
,
M. S.
, 1970, “
Cavitation Erosion in Nonaqueous Liquids
,”
J. Basic Eng.
0021-9223,
92
(
4
), pp.
807
814
.
7.
Ashworth
,
V.
, and
Procter
,
R. P. M.
, 1975, “
Cavitation Damage in Dilute Polymer-Solutions
,”
Nature (London)
0028-0836,
258
(
5530
), pp.
64
66
.
8.
Hoyt
,
J. W.
, 1976, “
Effect of Polymer Additives on Jet Cavitation
,”
ASME J. Fluids Eng.
0098-2202,
98
(
1
), pp.
106
112
.
9.
Shima
,
A.
,
Tsujino
,
T.
,
Nanjo
,
H.
, and
Miura
,
N.
, 1985, “
Cavitation Damage in Polymer Aqueous Solutions
,”
ASME J. Fluids Eng.
0098-2202,
107
(
1
), pp.
134
138
.
10.
Huang
,
S.
,
Ihara
,
A.
,
Watanabe
,
H.
, and
Hashimoto
,
H.
, 1996, “
Effects of Solid Particle Properties on Cavitation Erosion in Solid-Water Mixtures
,”
ASME J. Fluids Eng.
0098-2202,
118
(
4
), pp.
749
755
.
11.
Shima
,
A.
, and
Tsujino
,
T.
, 1976, “
Behavior of Bubbles in Polymer Solutions
,”
Chem. Eng. Sci.
,
31
(
10
), pp.
863
869
. 0009-2509
12.
Shima
,
A.
, and
Tsujino
,
T.
, 1981, “
Effect of Polymer Concentration on the Bubble Behavior and Impulse Pressure
,”
Chem. Eng. Sci.
,
36
(
5
), pp.
931
935
. 0009-2509
13.
Brujan
,
E. A.
,
Ohl
,
C. D.
,
Lauterborn
,
W.
, and
Philipp
,
A.
, 1996, “
Dynamics of Laser-Induced Cavitation Bubbles in Polymer Solutions
,”
Acust. Acta Acust.
1436-7947,
82
(
3
), pp.
423
430
.
14.
Brujan
,
E. A.
, 1999, “
A First-Order Model for Bubble Dynamics in a Compressible Viscoelastic Liquid
,”
J. Non-Newtonian Fluid Mech.
0377-0257,
84
(
1
), pp.
83
103
.
15.
Wojs
,
K.
,
Steller
,
R.
, and
Redzicki
,
R.
, 2004, “Studies of the Cavitation Bubble Oscillation in a Viscoelastic Liquid,” Inzynieria Chemiczna i Procesowa, 25(2), pp. 455–471.
16.
Wallis
,
G. B.
, 1969,
One-Dimensional Two-Phase Flow
,
McGraw-Hill
,
New York
.
17.
Gidaspow
,
D.
,
Bezbaruah
,
R.
, and
Ding
,
J.
, 1992, “
Hydrodynamics of Circulating Fluidized Beds: Kinetic Theory Approach
,”
Proceedings of the Seventh Engineering Foundation Conference on Fluidization
, pp.
75
82
.
18.
Syamlal
,
M.
,
Rogers
,
W.
, and
O’Brien
,
T. J.
, 1993, “
MFIX Documentation: Theory Guide
,” Technical Report Nos. DOE/METC-9411004 and NTIS/DE9400087.
19.
Prosperetti
,
A.
, and
Lezzi
,
A.
, 1986, “
Bubble Dynamics in a Compressible Liquid. Part 1. First-Order Theory
,”
J. Fluid Mech.
0022-1120,
168
, pp.
457
478
.
20.
Cramer
,
E.
, and
Lauterborn
,
W.
, 1981, “
Dynamics and Acoustic Emission of Spherical Cavitation Bubbles in a Sound Field
,”
Acustica
0001-7884,
49
(
3
), pp.
226
238
.
You do not currently have access to this content.