Abstract
Recent measurements of bubble-phase velocity, volume fraction, and velocity variance, and liquid velocity profiles for flows of bubbly liquids in a vertical pipe are shown to be in good agreement with the predictions based on averaged equations.
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References
Auton, T.R., 1987, The lift force on a spherical body in a rotational flow, J. Fluid Mech. 183, 199–218.
Bulthuis, H.F., Prosperetti, A. and Sangani, A.S., 1995, ‘Particle stress’ in disperse twophase potential flow, J. Fluid Mech. 294, 1–16.
Kang, S.-Y., Sangani, A.S., Tsao, H.-K. and Koch, D.L., 1997, Rheology of dense bubble suspensions, Phys. Fluids 9, 1540–1570.
Koch, D.L. and Sangani, A.S., 1999, Particle pressure and marginal stability limits for a homogeneous monodisperse gas-fluidized bed: Kinetic theory and numerical simulations, J. Fluid Mech. 400, 229–263.
Kushch, V.I., Sangani, A.S., Spelt, P.D.M. and Koch, D.L., 2002, Finite-Weber-number motion of bubbles through a nearly inviscid liquid, J. Fluid Mech. 460, 241–280.
Kushch, V.I., Shah, K.D., Sangani, A.S. and Koch, D.L., 2005, Boundary conditions for bubbly liquids, in preparation.
Sangani, A.S. and Didwania, A.K., 1993, Dynamic simulations of flows of bubbly liquids at large Reynolds number, J. Fluid Mech. 250, 307–337.
Sangani, A.S. and Didwania, A.K., 1993 Dispersed-phase stress tensor of bubbly liquids at large Reynolds numbers, J. Fluid Mech. 248, 27–54.
Sangani, A.S., Mo, G., Tsao, H.-K. and Koch, D.L., 1996, Simple shear flows of dense gas-solid suspensions at finite Stokes numbers, J. Fluid Mech. 313, 309–341.
Spelt, P.D.M. and Sangani, A.S., 1998, Properties and averaged equations for flows of bubbly liquids, Appl. Sci. Res. 58, 337–386.
Tsao, H.-K. and Koch, D.L., 1997, Observations of high Reynolds number bubbles interacting with a rigid wall, Phys. Fluids 9, 44–56.
Tsang, Y.H., 2005, Experimental study of millimeter-sized bubbles in electrolytic solutions — Rise velocity, coalescence, and vertical pipe flow, Ph.D. Thesis, Cornell University.
Zenit, R., Koch, D.L. and 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.
Zenit, R., Tsang, Y.H., Koch, D.L. and Sangani, A.S., 2004, Shear flow of a suspension of bubbles rising in an inclined channel, J. Fluid Mech. 515, 261–292.
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Sangani, A.S., Ozarkar, S.S., Tsang, Y.H., Koch, D.L. (2006). Flow of Bubbly Liquids in a Vertical Pipe: Theory and Experiments. In: Balachandar, S., Prosperetti, A. (eds) IUTAM Symposium on Computational Approaches to Multiphase Flow. Fluid Mechanics and Its Applications, vol 81. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4977-3_37
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DOI: https://doi.org/10.1007/1-4020-4977-3_37
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4976-7
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