Andereck, C. D., Liu, S. S. & Swinney, H. L. 1986 Flow regimes in a circular Couette system with independently rotating cylinders. J. Fluid Mech. 164, 155–183.
Auton, T. R. 1987 The lift force on a spherical body in a rotational flow. J. Fluid Mech. 183, 199–218.
Auton, T. R., Hunt, J. C. R. & Prud'homme, M. 1988 The force exerted on a body in inviscid unsteady non-uniform rotational flow. J. Fluid Mech. 197, 241–257.
van den Berg, T. H., van Gils, D. P. M., Lathrop, D. P. & Lohse, D. 2007 Bubbly turbulent drag reduction is a boundary layer effect. Phys. Rev. Lett. 98, 084501.
van den Berg, T. H., Luther, S., Lathrop, D. P. & Lohse, D. 2005 Drag reduction in bubbly Taylor–Couette turbulence. Phys. Rev. Lett. 94, 044501.
van den Berg, T. H., Luther, S. & Lohse, D. 2006 Energy spectra in microbubbly turbulence. Phys. Fluids 18, 038103.
Bunner, B. & Tryggvason, G. 2002 Dynamics of homogeneous bubbly flows Part 1. Rise velocity and microstructure of the bubbles. J. Fluid Mech. 466, 17–52.
Calzavarini, E., van den Berg, T., Toschi, F. & Lohse, D. 2008 Quantifying microbubble clustering in turbulent flow from sigle-point measurements. Phys. Fluids 20, 040702.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Clarendon.
Climent, E. & Magnaudet, J. 1999 Large-scale simulations of bubble-induced convection in a liquid layer. Phys. Rev. Lett. 82, 4827–4830.
Climent, E., Simonnet, M. & Magnaudet, J. 2007 Preferential accumulation of bubbles in Couette-Taylor flow patterns. Phys. Fluids 19, 083301.
Djeridi, H., Gabillet, C. & Billard, J. Y. 2004 Two-phase Couette–Taylor flow: Arrangement of the dispersed phase and effects on the flow structures. Phys. Fluids 16, 128–139.
Dominguez-Lerma, M. A., Ahlers, G. & Cannell, D. 1984 Marginal stability curve and linear growth rate for rotating Couette–Taylor flow and Rayleigh–Bénard convection. Phys. Fluids 27, 856–860.
Dutcher, C. S. & Muller, S. J. 2007 Explicit analytic formulas for Newtonian Taylor–Couette primary instabilities. Phys. Rev. E 75, 047301.
Eckhardt, B., Grossmann, S. & Lohse, D. 2000 Scaling of global momentum transport in Taylor–Couette and pipe flow. Eur. Phys. J. B 18, 541–544.
Eckhardt, B., Grossmann, S. & Lohse, D. 2007 Torque scaling in turbulent Taylor–Couette flow between independently rotating cylinders. J. Fluid Mech 581, 221–250.
Esser, A. & Grossmann, S. 1996 Analytic expression for Taylor–Couette stability boundary. Phys. Fluids 8, 1814–1819.
Ferrante, A. & Elghobashi, S. 2004 On the physical mechanisms of drag reduction in a spatially-developing turbulent boundary layer laden with microbubbles. J. Fluid Mech. 503, 345–355.
Fukagata, K., Iwamoto, K. & Kasagi, N. 2002 Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows. Phys. Fluids 14, L73–L76.
Fukagata, K. & Kasagi, N. 2002 Highly energy-conservative finite difference method for the cylindrical coordinate system. J. Comput. Phys. 181, 478–498.
Grace, J. 1973 Shapes and velocities of bubbles rising in infinite liquids. Trans. Inst. Chem. Engrs 51, 116–120.
Happel, J. & Brenner, H. 1973 Low Reynolds Number Hydrodynamics, 2nd Edn. Martinus Nijhoff.
Hunt, J. C. R., Wray, A. A. & Moin, P. 1988 Eddies, stream and convergence zones in turbulent flows. Report CTR-S88. Center for Turbulence Research, NASA Ames Research Center and Stanford University, California, USA.
Lathrop, D. P., Fineberg, J. & Swinney, H. L. 1992 Transition to shear-driven turbulence in Couette–Taylor flow. Phys. Rev. A 46, 6390–6405.
Lim, T. T. & Tan, K. S. 2004 A note on power-law scaling in a Taylor–Couette flow. Phys. Fluids 16, 140–144.
Lo, T. S., L'vov, V. S. & Procaccia, I. 2006 Drag reduction by compressible bubbles. Phys. Rev. E 73, 036308.
Lu, J., Fernández, A. & Tryggvason, G. 2005 The effect of bubbles on the wall drag in a turbulent channel flow. Phys. Fluids 17, 095102.
L'vov, V. S., Pomyalov, A., Procaccia, I. & Tiberkevich, V. 2005 Drag reduction by microbubbles in turbulent flows: The limit of minute bubbles. Phys. Rev. Lett. 94, 174502.
Madavan, N. K., Deutsch, S. & Merkle, C. L. 1984 Reduction of turbulent skin friction by microbubbles. Phys. Fluids 27, 356–363.
Magnaudet, J. & Legendre, D. 1998 Some aspects of the lift force on a spherical bubble. Appl. Sci. Res. 58, 441–461.
Maxey, M. R. & Riley, J. J. 1983 Equation of motion for a small rigid sphere in a nonuniform flow. Phys. Fluids 26, 883–889.
Mazzitelli, I. M., Lohse, D. & Toschi, F. 2003 a On the relevance of the lift force in bubbly turbulence. J. Fluid Mech. 488, 283–313.
Mazzitelli, I. M., Lohse, D. & Toschi, F. 2003 b The effect of microbubbles on developed turbulence. Phys. Fluids 15, L5–L8.
Meng, J. C. S. & Uhlman, J. S. 1998 Microbubble formation and splitting in a turbulent boundary layer for turbulence reduction. Proc. Intl Symp. on Seawater Drag Reduction, Newport, RI, July, US Office of Naval Research, Arlington, VA, pp. 341–355.
Murai, Y., Oiwa, H. & Takeda, Y. 2005 Bubble behavior in a vertical Taylor–Couette flow. J. Phys. Conf. Ser. 14, 143–156.
vanNierop, E. A. Nierop, E. A., Luther, S., Bluemink, J. J., Magnaudet, J., Prosperetti, A. & Lohse, D. 2007 Drag and lift forces on bubbles in a rotating flow. J. Fluid Mech. 571, 439–454.
Oiwa, H. 2005 A study of mechanisms modifying shear stress in bubbly flow. Doctoral Thesis, Fukui University, Japan.
Sanders, W. C., Winkel, E. S., Dowling, D. R., Perlin, M. & Ceccio, S. L. 2006 Bubble friction drag reduction in a high-Reynolds-number flat-plate turbulent boundary layer. J. Fluid Mech. 552, 353–380.
Sbragaglia, M. & Sugiyama, K. 2007 Boundary induced nonlinearities at small Reynolds numbers. Physica D 228, 140–147.
Serizawa, A., Kataoka, I. & Michiyoshi, I. 1975 Turbulence structure of air-water bubbly flow – II. Local properties. Intl J. Multiphase Flow 2, 235–246.
Shiomi, Y., Kutsuma, H., Akagawa, K. & Ozawa, M. 1993 Two-phase flow in an annulus with a rotating inner cylinder (flow pattern in bubbly flow region). Nucl. Engng Des. 141, 27–34.
Tanahashi, M., Iwase, S. & Miyauchi, T. 2001 Appearance and alignment with strain rate of coherent fine scale eddies in turbulent mixing layer. J. Turb. 2, 1–17.
Taylor, G. I. 1923 Stability of a viscous liquid contained between two rotating cylinders. Phil. Trans. R. Soc. Lond. A 223, 289–343.
Wang, L. P. & Maxey, M. R. 1993 The motion of microbubbles in a forced isotropic and homogeneous turbulence. Appl. Sci. Res. 51, 291–296.
Wendt, F. 1933 Turbulente Strömungen zwischen zwei rotierenden konaxialen Zylindern. Ing.-Arch. 4, 577–595.
Xu, J., Maxey, M. R. & Karniadakis, G. E. M. 2002 Numerical simulation of turbulent drag reduction using micro-bubbles. J. Fluid Mech. 468, 271–281.
Zenit, R., Koch, D. L. & Sangani, A. S. 2001 Measurements of the average properties of a suspension of bubbles rising in a vertical channel. J. Fluid Mech. 429, 307–342.