Laboratory experiments were conducted to study the dynamics of particle clouds in viscous fluids. Different shapes of frontal head and trailing stems were observed, and particle clouds were classified using data mining methodology. The stability of the frontal head of particle clouds was found to be correlated with the nozzle diameter and mass of sand particles in the form of an initial aspect ratio. The formation of particle clusters into a torus and the split of the frontal head into two or three clusters were investigated in detail. The cluster of particles flow through viscous fluid experienced partial separation due to the release of air bubbles from the rear of frontal head. It was observed that the time and location of major particle separation increase linearly with the aspect ratio. The oscillatory motion of the frontal head, caused by an uneven release of air bubbles from the rear of the frontal head, was found to be correlated with the initial aspect ratio. Both amplitude and wavelength exhibited a linear relationship with nondimensional time. The average drag coefficient of particle clouds Cd in viscous fluids was calculated for different aspect ratios, and the results were compared with the drag coefficient of individual particles. It was found that the averaged drag coefficients of particle clouds were smaller than the drag coefficient of individual particles, and Cd slightly increases with the increasing initial aspect ratio.

References

References
1.
Miller
,
W. G.
,
Scott
,
J. D.
, and
Sego
,
D. C.
,
2009
, “
Flume Deposition Modeling of Caustic and Noncaustic Oil Sand Tailings
,”
Can. Geotech. J
,
46
(
6
), pp.
679
693
.
2.
Pignatel
,
F.
,
Nicolas
,
M.
, and
Guazzelli
,
E.
,
2011
, “
A Falling Cloud of Particles at a Small but Finite Reynolds Number
,”
J. Fluid Mech.
,
671
, pp.
34
51
.
3.
Griffiths
,
R. W.
,
1991
, “
Entrainment and Stirring in Viscous Plumes
,”
Phys. Fluids A
,
3
(
5
), p.
1233
.
4.
Giraut
,
F.
,
Carazzo
,
G.
,
Tait
,
S.
,
Ferrucci
,
F.
, and
Kaminski
,
E.
,
2014
, “
The Effect of Total Grain-Size Distribution on the Dynamics of Turbulent Volcanic Plumes
,”
Earth Planet. Sci. Lett.
,
394
, pp.
124
134
.
5.
Samuel
,
H.
,
2012
, “
A Re-Evaluation of Metal Diaper Breakup and Equilibration in Terrestrial Magma Oceans
,”
Earth Planet. Sci. Lett.
,
313–314
, pp.
105
114
.
6.
Deguen
,
R.
,
Olson
,
P.
, and
Cardin
,
P.
,
2011
, “
Experiments on Turbulent Metal-Silicate Mixing in a Magma Ocean
,”
Earth Planet. Sci. Lett.
,
310
(
3–4
), pp.
303
313
.
7.
Deguen
,
R.
,
Landeau
,
M.
, and
Olson
,
P.
,
2014
, “
Turbulent Metal-Silicate Mixing, Fragmentation, and Equilibration in Magma Oceans
,”
Earth Planet. Sci. Lett.
,
391
, pp.
274
287
.
8.
Bush
,
J. W. M.
,
Thurber
,
B. A.
, and
Blanchette
,
F.
,
2003
, “
Particle Clouds in Homogeneous and Stratified Environments
,”
J. Fluid Mech.
,
489
, pp.
29
54
.
9.
Azimi
,
A.
,
Zhu
,
D. Z.
, and
Rajaratnam
,
N.
,
2012
, “
Experimental Study of Sand Jet Front in Water
,”
Int. J. Multiphase Flow.
,
40
, pp.
19
37
.
10.
Azimi
,
A.
,
Zhu
,
D. Z.
, and
Rajaratnam
,
N.
,
2012
, “
Computational Investigation on Vertical Slurry Jets
,”
Int. J. Multiphase Flow.
,
47
, pp.
94
114
.
11.
Zhao
,
B.
,
Law
,
A. W. K.
,
Adams
,
E. E.
,
Shao
,
D.
, and
Huang
,
Z.
,
2012
, “
Effect of Air Release Height on the Formation of Sediment Thermals in Water
,”
J. Hydraulic Res.
,
50
(
5
), pp.
532
540
.
12.
Zhao
,
B.
,
Law
,
A. W. K.
,
Adams
,
E. E.
, and
Er
,
J. W.
,
2014
, “
Formation of Particle Clouds
,”
J. Fluid Mech.
,
746
, pp.
193
213
.
13.
Lai
,
A. C. H.
,
Wang
,
R.
,
Law
,
A. W. K.
, and
Adams
,
E. E.
,
2016a
, “
Modeling and Experiments of Polydisperse Particle Clouds
,”
Environ. Fluid Mech.
,
16
(
4
), pp.
875
898
.
14.
Lai
,
A. C. H.
,
Chan
,
S. N.
,
Law
,
A. W. K.
, and
Adams
,
E. E.
,
2016b
, “
Spreading Hypothesis of a Particle Plume
,”
ASCE, J. Hydraul. Eng.
,
12
, p.
04016065
.
15.
Lee
,
J. H. W.
, and
Chu
,
V. H.
,
2003
,
Turbulent Jets and Plums, a Lagrangian Approach
,
Kluwer Academic Publishers Group
, Dordrecht,
The Netherlands
, p.
390
.
16.
Nath
,
C.
,
Voropayev
,
S. I.
,
Lord
,
D.
, and
Fernando
,
H. J. S.
,
2014
, “
Offset Turbulent Jets in Low-Aspect Ratio Cavities
,”
ASME J. Fluids Eng.
,
136
(
6
), p.
060911
.
17.
Noh
,
Y.
, and
Fernando
,
H. J. S.
,
1993
, “
The Transition in the Sedimentation Pattern of a Particle Cloud
,”
Phys. Fluids A: Fluid Dyn.
,
5
(
12
), pp.
3049
3055
.
18.
Noh
,
Y.
,
2000
, “
Sedimentation of a Particle Cloud Across a Density Interface
,”
Fluid Dyn. Res.
,
27
(
3
), pp.
129
142
.
19.
Bosse
,
T.
,
Kleiser
,
L.
,
Harter
,
C.
, and
Meiburg
,
E.
,
2005
, “
Numerical Simulation of Finite Reynolds Number Suspension Drops Settling Under Gravity
,”
Phys. Fluids
,
17
(
3
), p.
037101
.
20.
Metzger
,
B.
,
Nicolas
,
M.
, and
Guazzelli
,
E.
,
2007
, “
Falling Clouds of Particles in Viscous Fluids
,”
J. Fluid Mech.
,
580
, pp.
283
301
.
21.
Mohammadidinani
,
N.
,
Azimi
,
A. H.
, and
Elyasi
,
S.
,
2017
, “
Experimental Investigation of Sand Jets Passing Through Immiscible Fluids
,”
ASME J. Fluids Eng.
,
139
(
5
), p.
05130313
.
22.
Nicolas
,
M.
,
2002
, “
Experimental Study of Gravity-Driven Dense Suspension Jets
,”
Phys. Fluids.
,
14
(
10
), pp.
3570
3576
.
23.
Webster
,
D. R.
, and
Longmire
,
E. K.
,
2001
, “
Jet Pinch-Off and Drop Formation in Immiscible Liquid-Liquid Systems
,”
Exp Fluids
,
30
(
1
), pp.
47
56
.
24.
Kaminski
,
E.
, and
Jaupart
,
C.
,
2003
, “
Laminar Starting Plumes in High-Prandtl-Number Fluids
,”
J. Fluid Mech.
,
478
, pp.
287
298
.
25.
Rogers
,
M. C.
, and
Morris
,
S. W.
,
2009
, “
Natural Versus Forced Convection in Laminar Starting Plumes
,”
Phys. Fluids.
,
21
(
8
), p.
0836011
.
26.
Davaille
,
A.
,
Limare
,
A.
,
Touitou
,
F.
,
Kumagai
,
I.
, and
Vatteville
,
J.
,
2011
, “
Anatomy of a Laminar Starting Thermal Plume at High Prandtl Number
,”
Exp. Fluids
,
50
(
2
), pp.
285
300
.
27.
Friedman
,
P. D.
, and
Katz
,
J.
,
1999
, “
The Flow and Mixing Mechanisms Caused by the Impingement of an Immiscible Interface With a Vertical Jet
,”
Phys. Fluids
,
11
(
9
), pp.
2598
2606
.
28.
Geyer
,
A.
,
Phillips
,
J. C.
,
Mier-Torrecilla
,
M.
,
Idelsohn
,
S. R.
, and
Onate
,
E.
,
2011
, “
Flow Behaviour of Negatively Buoyant Jets in Immiscible Ambient Fluid
,”
Exp. Fluids.
,
52
(
1
), pp.
261
271
.
29.
Subramanian
,
G.
, and
Koch
,
D.
,
L.
,
2008
, “
Evolution of Clusters of Sedimenting Low-Reynolds-Number Particles With Oseen Interactions
,”
J. Fluid Mech.
,
603
, pp.
63
100
.
30.
Balaji
,
K.
,
Sivadas
,
V.
,
Radhakrishna
,
V.
,
Bhatija
,
K. A.
, and
Charan
,
K. S.
,
2018
, “
Experimental Characterization of Intrinsic Properties Associated With Air-Assisted Liquid Jet and Liquid Sheet.
,”
ASME J. Fluids Eng.
,
140
(
5
), p.
051301
.
31.
Rosello
,
M.
,
Maitrejean
,
G.
,
Roux
,
D. C. D.
,
Jay
,
P.
,
Barbet
,
B.
, and
Xing
,
J.
,
2018
, “
Influence of the Nozzle Shape on the Breakup Behaviour of Continuous Ink Jets
,”
ASME J. Fluids Eng.
,
140
(
3
), p.
031202
.
32.
Zhao
,
F.
,
Qin
,
L.
,
Fu
,
Q.
,
Mo
,
C.
, and
Yang
,
L.
,
2017
, “
Spray Characteristics of Elliptical Power-Law Fluid-Impinging Jets
,”
ASME, J. Fluids Eng.
,
139
(
7
), p.
071203
.
33.
Chaussonnet
,
G.
,
Koch
,
R.
,
Bauer
,
H. J.
,
Sanger
,
A.
,
Jakobs
,
T.
, and
Kolb
,
T.
,
2018
, “
Smoothed Particle Hydrodynamics Simulation of an Air-Assisted Atomizer Operating at High Pressure: Influence of Non-Newtonian Effects
,”
ASME, J. Fluids Eng.
,
140
(
6
), p.
061301
.
34.
Strasser
,
W.
, and
Battaglia
,
F.
,
2016
, “
Identification of Pulsation Mechanism in a Transonic Three-Stream Airblast Injector
,”
ASME J. Fluids Eng.
,
138
(
11
), p.
111303
.
35.
Ernst
,
M.
, and
Sommerfeld
,
M.
,
2012
, “
On the Volume Fraction Effects of Inertial Colliding Particles in Homogeneous Isotropic Turbulence
,”
ASME J. Fluids Eng.
,
134
(
3
), p.
031302
.
36.
Farvardin
,
E.
, and
Dolatabadi
,
A.
,
2013
, “
Numerical Simulation of the Breakup of Elliptical Liquid Jet in Still Air
,”
ASME J. Fluids Eng.
,
135
(
7
), p.
071302
.
37.
Moghadaripour
,
M.
,
Azimi
,
A. H.
, and
Elyasi
,
S.
,
2017
, “
Experimental Study of Oblique Particle Clouds in Water
,”
Int. J. Multiphase Flow
,
91
, pp.
101
119
.
38.
Moghadaripour
,
M.
,
Azimi
,
A. H.
, and
Elyasi
,
S.
,
2017
, “
Experimental Study of Particle Clouds in Stagnant Water
,”
ASCE J. Eng. Mech.
,
143
(
9
), p.
04017082
.
39.
Witten
,
I. H.
, and
Frank
,
E.
,
2005
,
Data Mining-Practical Machine Learning Tools and Techniques
,
Morgan Kaufmann
,
San Francisco, CA
, p.
525
.
40.
Lang
,
W.
,
Sokhansanj
,
S.
, and
Sosulski
,
F. W.
,
1992
, “
Modelling the Temperature Dependence of Kinematic Viscosity for Refined Canola Oil
,”
J. Am. Oil Chemists' Soc.
,
69
(
10
), pp.
1054
1055
.
41.
Heindel
,
T. J.
,
2011
, “
A Review of X-Ray Flow Visualization With Applications to Multiphase Flows
,”
ASME J. Fluids Eng.
,
133
(
7
), p.
074001
.
42.
Nitsche
,
J. M.
, and
Batchelor
,
G. K.
,
1997
, “
Break-Up of a Falling Cloud Containing Dispersed Particles
,”
J. Fluid Mech.
,
340
, pp.
161
175
.
43.
Holdich
,
R. G.
,
2002
,
Fundamentals of Particle Technology
,
Midland Information Technology and Publishing
, Nottingham, UK, p.
173
.
44.
Clift
,
R.
,
Grace
,
J. R.
, and
Weber
,
M. E.
,
1978
,
Bubbles, Drops, and Particles
,
Academic Press
,
New York
, p.
380
.
45.
Wörner
,
M.
,
2003
, “
A Compact Introduction to the Numerical Modeling of Multiphase Flows
,” Forschungszentrum, Karlsruhe, Germany, p.
38
46.
Julien
,
P. Y.
,
2010
,
Erosion and Sedimentation
,
Cambridge University Press
,
Cambridge, UK
, p.
364
.
47.
Clift
,
R.
,
Grace
,
J. R.
, and
Weber
,
M. E.
,
1978
,
Bubbles, Drops and Particles
,
Academic Press
, Waltham, MA, p.
380
.
48.
Chien
,
S. F.
,
1994
, “
Settling Velocity of Irregularly Shaped Particles
,”
SPE Drill Completion
,
9
(
4
), pp.
281
289
.
49.
Barati
,
R.
,
Salehi Neyshabouri
,
S. A. A.
, and
Ahmadi
,
G.
,
2014
, “
Development of Empirical Models With High Accuracy for Estimation of Drag Coefficient of Flow Around a Smooth Sphere: An Evolutionary Approach
,”
Powder Technol.
,
257
, pp.
11
19
.
50.
Feng
,
Z.
, and
Michaelides
,
E. E.
,
2001
, “
Drag Coefficients of Viscous Spheres at Intermediate and High Reynolds Numbers
,”
ASME, J. Fluids Eng.
,
123
(
4
), pp.
841
849
.
51.
El- Shaarawi
,
M. A. I.
,
Al-Farayedhi
,
A.
, and
Antar
,
M. A.
,
1997
, “
Boundary Layer Flow About and Inside a Liquid Sphere
,”
ASME J. Fluids Eng.
,
119
(
1
), pp.
42
49
.
52.
Michaelides
,
E. E.
,
Crowe
,
C. T.
, and
Schwarzkopf
,
J. D.
,
2016
,
Multiphase Flow Handbook
,
2nd ed.
,
CRC Press
, Boca Raton, FL, p.
1420
.
53.
Richardson
,
J. F.
, and
Zaki
,
W. N.
,
1954
, “
Sedimentation and Fluidization—Part I
,”
Trans. Inst. Chem. Eng.
,
32
, pp.
35
53
.
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