Brunn,
P.
, 1981, “
The Hydrodynamic Wall Effect for a Disperse System,” Int. J. Multiphase Flow,
7(2), pp. 221–234.

[CrossRef]
McCormic,
M. E.
, and
Bhattach,
R.
, 1973, “
Drag Reduction of a Submersible Hull by Electrolysis,” Nav. Eng. J.,
85(2), pp. 11–16.

[CrossRef]
Kodama,
Y.
,
Kakugawa,
A.
,
Takahashi,
T.
, and
Kawashima,
H.
, 2000, “
Experimental Study on Microbubbles and Their Applicability to Ships for Skin Friction Reduction,” Int. J. Heat Fluid Flow,
21(5), pp. 582–588.

[CrossRef]
Ouyang,
K.
,
Wu,
S.
, and
Huang,
H.
, 2013, “
Optimum Parameter Design of Microbubble Drag Reduction in a Turbulent Flow by the Taguchi Method Combined With Artificial Neural Networks,” ASME J. Fluids Eng.,
135(11), p. 111301.

[CrossRef]
Kawara,
Z.
,
Yanagisawa,
H.
,
Kunugi,
T.
, and
Serizawa,
A.
, 2007, “
Study on Flow Characteristics of Micro-Bubble Two-Phase Flow,” 11th EUROMECH European Turbulence Conference, Porto, Portugal, June 25–28, pp. 334–336.

Fontaine,
A. A.
, and
Deutsch,
S.
, 1992, “
The Influence of the Type of Gas on the Reduction of Skin Friction Drag by Microbubble Injection,” Exp. Fluids,
13(2), pp. 128–136.

[CrossRef]
Hoang,
C. L.
,
Toda,
Y.
, and
Sanada,
Y.
, 2009, “
Full Scale Experiment for Frictional Resistance Reduction Using Air Lubrication Method,” 19th International Offshore and Polar Engineering Conference, Osaka, Japan, June 21–26, pp. 812–817.

Mizokami,
S.
,
Kawakita,
C.
,
Kodan,
Y.
,
Takano,
S.
,
Higasa,
S.
, and
Shigenaga,
R.
, 2010, “
Experimental Study of Air Lubrication Method and Verification of Effects on Actual Hull by Means of Sea Trial,” Mitsubishi Heavy Ind. Tech. Rev.,
47(3), pp. 41–47.

Thill,
C.
,
Toxopeus,
S.
, and
van Walree,
F.
, 2005, “
Project Energy-Saving Air-Lubricated Ships (PELS),” 2nd International Symposium on Seawater Drag Reduction, Busan, Korea, May 23–26.

Yanuar
,
Gunawan
,
Sunaryo
, and
Jamaluddin,
A.
, 2012, “
Micro-Bubble Drag Reduction on a High Speed Vessel Model,” J. Mar. Sci. Appl.,
11(3), pp. 301–304.

[CrossRef]
Reinhardt,
Y.
, and
Kleiser,
L.
, 2015, “
Validation of Particle-Laden Turbulent Flow Simulations Including Turbulence Modulation,” ASME J. Fluids Eng.,
137(7), p. 071303.

[CrossRef]
Bolotnov,
I.
, 2013, “
Influence of Bubbles on the Turbulence Anisotropy,” ASME J. Fluids Eng.,
135(5), p. 051301.

[CrossRef]
Patro,
P.
, and
Dash,
S. K.
, 2014, “
Computations of Particle-Laden Turbulent Jet Flows Based on Eulerian Model,” ASME J. Fluids Eng.,
136(1), p. 011301.

[CrossRef]
Zhang,
J.
,
Zhang,
Q.
, and
Qiao,
G.
, 2014, “
A Lattice Boltzmann Model for the Non-Equilibrium Flocculation of Cohesive Sediments in Turbulent Flow,” Comput. Math. Appl.,
67(2), pp. 381–392.

[CrossRef]
Molin,
D.
,
Marchioli,
C.
, and
Soldati,
A.
, 2012, “
Turbulence Modulation and Microbubble Dynamics in Vertical Channel Flow,” Int. J. Multiphase Flow,
42, pp. 80–95.

[CrossRef]
Madavan,
N. K.
,
Merkle,
C. L.
, and
Deutsch,
S.
, 1985, “
Numerical Investigations Into the Mechanisms of Microbubble Drag Reduction,” ASME J. Fluids Eng.,
107(3), pp. 370–377.

[CrossRef]
Maxey,
M. R.
,
Dong,
S.
,
Xu,
J.
, and
Karniadakis,
G. E.
, 2005, “
Simulations for Microbubble Drag Reduction (MBDR) at High Reynolds Numbers,” HPCMP Users Group Conference, Nashville, TN, June 27–30, pp. 153–159.

Kunz,
R. F.
,
Deutsch,
S.
, and
Lindau,
J. W.
, 2003, “
Two Fluid Modeling of Microbubble Turbulent Drag Reduction,” ASME Paper No. FEDSM2003-45640.

Skudarnov,
P. V.
, and
Lin,
C. C.
, 2006, “
Drag Reduction by Gas Injection Into Turbulent Boundary Layer: Density Ratio Effect,” Int. J. Heat Fluid Flow,
27(3), pp. 436–444.

[CrossRef]
Legner,
H. H.
, 1984, “
A Simple Model for Gas Bubble Drag Reduction,” Phys. Fluids,
27(12), pp. 2788–2790.

[CrossRef]
Kanai,
A.
, and
Miyata,
H.
, 2001, “
Direct Numerical Simulation of Wall Turbulent Flows With Microbubbles,” Int. J. Numer. Methods Fluids,
35(5), pp. 593–615.

[CrossRef]
Ferrante,
A.
, and
Elghobashi,
S.
, 2005, “
Reynolds Number Effect on Drag Reduction in a Microbubble-Laden Spatially Developing Turbulent Boundary Layer,” J. Fluid Mech.,
543, pp. 93–106.

[CrossRef]
Ferrante,
A.
, and
Elghobashi,
S.
, 2004, “
On the Physical Mechanisms of Drag Reduction in a Spatially Developing Turbulent Boundary Layer Laden With Microbubbles,” J. Fluid Mech.,
503, pp. 345–355.

[CrossRef]
Tennekes,
H.
, 1968, “
Simple Model for the Small-Scale Structure of Turbulence,” Phys. Fluids,
11(3), pp. 669–671.

[CrossRef]
Lundgren,
T. S.
, 1982, “
Strained Spiral Vortex Model for Turbulent Fine-Structure,” Phys. Fluids,
25(12), pp. 2193–2203.

[CrossRef]
Ottino,
J. M.
, 1982, “
Description of Mixing With Diffusion and Reaction in Terms of the Concept of Material Surfaces,” J. Fluid Mech.,
114, pp. 83–103.

[CrossRef]
Bergman,
T. L.
,
Lavine,
A. S.
,
Incropera,
F. P.
, and
Dewitt,
D. P.
, 2011, Fundamentals of Heat and Mass Transfer, 7th ed.,
Wiley, Hoboken, NJ.

Chanson,
H.
, 1996, Air Bubble Entrainment in Free-Surface Turbulent Shear Flows,
Academic Press,
San Diego, CA.

Qian,
D.
,
McLaughlin,
J. B.
,
Sankaranarayanan,
K.
,
Sundaresan,
S.
, and
Kontomaris,
K.
, 2006, “
Simulation of Bubble Breakup Dynamics in Homogeneous Turbulence,” Chem. Eng. Commun.,
193(8), pp. 1038–1063.

[CrossRef]
Clift,
R.
,
Grace,
J. R.
, and
Weber,
M. E.
, 1978, Bubbles, Drops, and Particles,
Academic Press,
New York.

Weast,
R. C.
, 1986, CRC Handbook of Chemistry and Physics, 67th ed.,
CRC Press,
Boca Raton, FL.

Levich,
V. G.
, 1962, Physicochemical Hydrodynamics,
Prentice-Hall,
Upper Saddle River, NJ.

Cox,
R. G.
,
Zia,
I. Y. Z.
, and
Mason,
S. G.
, 1968, “
Particle Motions in Sheared Suspensions XXV. Streamlines Around Cylinders and Spheres,” J. Colloid Interface Sci.,
27(1), pp. 7–18.

[CrossRef]
Leal,
L. G.
, 1992, Laminar Flow and Convective Transport Processes–Scaling Principles and Asymptotic Analysis,
Butterworth-Heinemann,
Boston, MA.

Cherry,
R. S.
, and
Kwon,
K. Y.
, 1990, “
Transient Shear Stresses on a Suspension Cell in Turbulence,” Biotechnol. Bioeng.,
36(6), pp. 563–571.

[CrossRef] [PubMed]
Potter,
M. C.
, and
Wiggert,
D. C.
, 2002, Mechanics of Fluids, 3rd ed.,
Brooks/Cole,
Pacific Grove, CA.

White,
F. M.
, 2006, Viscous Fluid Flow, 3rd ed.,
McGraw-Hill,
New York.

Trevelyan,
B. J.
, and
Mason,
S. G.
, 1951, “
Particle Motions in Sheared Suspensions—I: Rotations,” J. Colloid Sci.,
6(4), pp. 354–367.

[CrossRef]
Hosokawa,
S.
,
Suzuki,
T.
, and
Tomiyama,
A.
, 2012, “
Turbulence Kinetic Energy Budget in Bubbly Flows in a Vertical Duct,” Exp. Fluids,
52(3), pp. 719–728.

[CrossRef]
Wang,
L.
,
Ayala,
O.
,
Gao,
H.
,
Anderson,
C.
, and
Mathews,
K. L.
, 2013, “
Study of Forced Turbulence and Its Modulation by Finite-Size Solid Particles Using the Lattice Boltzmann Approach,” Comput. Math. Appl.,
67(2), pp. 363–380.

[CrossRef]
Yeo,
K.
,
Dong,
S.
,
Climent,
E.
, and
Maxey,
M. R.
, 2010, “
Modulation of Homogeneous Turbulence Seeded With Finite Size Bubbles or Particles,” Int. J. Multiphase Flow,
36(3), pp. 221–233.

[CrossRef]
Goa,
H.
,
Li,
H.
, and
Wang,
L.
, 2013, “
Lattice Boltzmann Simulation of Turbulent Flow Laden With Finite-Size Particles,” Comput. Math. Appl.,
65(2), pp. 194–210.

[CrossRef]
Parmar,
R.
, and
Majumder,
S. K.
, 2014, “
Hydrodynamics of Microbubble Suspension Flow in Pipes,” Ind. Eng. Chem. Res.,
53(9), pp. 3689–3701.

[CrossRef]
Marie,
J. L.
, 1987, “
A Simple Analytical Formulation for Microbubble Drag Reduction,” Physicochem. Hydrodyn.,
8(2), pp. 213–220.

Foeth,
E. J.
, 2008, “
Decreasing Frictional Resistance by Air Lubrication,” 20th International Hiswa Symposium on Yacht Design and Yacht Construction, Amsterdam, The Netherlands, Nov. 17–18.

Gemmrich,
J.
, 2012, “
Bubble-Induced Turbulence Suppression in Langmuir Circulation,” Geophys. Res. Lett.,
39, p. L10604.

[CrossRef]
Foeth,
E. J.
,
Eggers,
R.
,
van der Hout,
I.
, and
Quadvlieg,
F. H. H. A.
, 2009, “
Reduction of Frictional Resistance by Air Bubble Lubrication,” Trans. Soc. Nav. Archit. Mar. Eng.,
117, pp. 19–29.

Kato,
H.
, and
Kodama,
Y.
, 2003, “
Microbubbles as a Skin Friction Reduction Device–A Midterm Review of the Research,” 4th Symposium on Smart Control of Turbulence, Tokyo, Japan, Mar. 2–4.