Abstract
A sequential spatial-temporal averaging procedure taking into account fluctuations of concentration and their correlation with the kinematic characteristics of the gas-liquid mixture is employed to derive governing and constitutive equations for description of two-phase systems. The momentum balance provides the basis for the turbulent viscosity and bubble diffusion models, and an additional impulse due to virtual mass force as a result of bubble pulsations is considered. Closed-form theoretical expressions have been obtained for mixtures of bubble sizes predicting the bubble concentration profiles for each size fraction as well as the total concentration profile in the pipe cross-section exhibiting experimentally found non-uniform multi-peaked bubble concentration profiles. The local homogeneous approximation enables the concept of turbulent boundary layer with vanishing viscosity to be employed. In the limiting case of high Reynolds number, analytical solutions for the wall shear stress, velocity and void fraction distributions, and the basic average parameters of the gas-liquid flow are obtained from a relative friction law with a single additional empirical constant only.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
A. Serizawa, I. Kataoka, in Phase Distribution in Two–Phase Flow, ed. by N.H. Afgan. Transient Phenomena in Multiphase Flow (Hemisphere, Washington, 1988)
V.E. Nakoryakov, O.N. Kashinsky, A.P. Burdukov et al., Local characteristics of upward gas-liquid flows. Int. J. Multiph. Flow 7(1), 63–81 (1981)
T. Hibiki, M. Ishii, Z. Xiao, Axial interfacial area transport of vertical bubbly flows. Int. J. Heat Mass. Transf. 44, 1869–1888 (2001)
K. Felton, E. Loth, Diffusion of sphrerical bubbles in a turbulent boundary layer. Int. J. Multiph. Flow 28, 69–92 (2002)
T. Hibiki, M. Ishii, Experimental study of interfacial area transported in bubbly two-phase flows. Int. J. Heat Mass Transf. 42, 3019–3035 (1999)
L.D. Landau, E.M. Lifshitz, Fluid Mechanics, 2nd edn. (Pergamon Press, London, 1987)
G.K. Batchelor, Statistical hydrodynamics of dispersed systems. J. Fluid Mech. 49, 489–507 (1970)
M. Ishii, Thermo-Fluid Dynamic Theory of Two-Phase Flow (Eyrolles, Paris, 1975)
D.A. Drew, Mathematical Modeling of Two-Phase Flow. Ann. Rev. Fluid Mech. 15:261–291 (1983)
A.K. Dujnin, Fundamentals of Mechanics of Multicomponent Flows (SB AS USSR, Novosibirsk, 1965)
V.E. Nakorykov, A.V. Gorin, Heat and Mass Transfer in Two-Phase Systems, (SB RAS, Novosibirsk, 1994)
J.N. Hunt, On the turbulent transport of heterogeneous sediment. Q. J. Mech. Appl. Math. 22(2), 235–246 (1969)
A.V. Gorin, in On Analysis of Turbulent Bubbly Flow, ed. by S.S. Kutateladze. Hydrodynamics and Heat Transfer of Single- and Two-Phase Media, (ITF SO AN SSSR, Novosibirsk, 1979), pp. 115–121
S.S. Kutateladze, A. Leont’ev, Heat and Mass Transfer And Friction In Turbulent Boundary Layer, (Energoatomizdat, Moscow, 1985)
A.V. Gorin, Friction and the velocity and gas-content profiles of a turbulent gas-liquuid flow. J. Eng. Physics 35, 1029–1036 (1978)
A.M. Basin, A.I. Korotkin, L.F. Kozlov, Control of Ship Boundary Layer, (Sudostroenie, Leningrad, 1968)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Gorin, A.V. (2016). On Mechanics of Turbulent Gas-Liquid Flows. In: Segalini, A. (eds) Proceedings of the 5th International Conference on Jets, Wakes and Separated Flows (ICJWSF2015). Springer Proceedings in Physics, vol 185. Springer, Cham. https://doi.org/10.1007/978-3-319-30602-5_60
Download citation
DOI: https://doi.org/10.1007/978-3-319-30602-5_60
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-30600-1
Online ISBN: 978-3-319-30602-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)