Inviscid mean flow through and around groups of bodies

Journal of Fluid Mechanics

Volumn 515, Issue , 2004, Pages 371-389

  Eames, I ^a   Hunt, J C R ^a,b   Belcher, S E ^c  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c UNIVERSITY OF READING   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARRAYS; CLOUDS; KINEMATICS; PARAMETER ESTIMATION;

LAGRANGIAN MEAN VELOCITY; ROBUST KINEMATIC FLOWS;

CHANNEL FLOW;

EULER FLOW; FLOW AROUND OBJECT; FLUID FLOW; FLUID MECHANICS; INVISCID FLUID; LAGRANGIAN ANALYSIS;

EID: 5444263707     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004000503     Document Type: Article

References (36)

1. BATCHELOR, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
2. BATAILLE, J., LANCE, M. & MARIE, J. L. 1991 Some aspects of the modelling of bubbly flows. In Phase-Interface Phenomena in Multiphase Flows (ed. G. F. Hewitt, F. Mayinger & J. R. Riznic), pp. 179-193. Hemisphere.
3. BELCHER, S. E., JERRAM, N. & HUNT, J. C. R. 2003 Adjustment of a turbulent boundary layer to a canopy of roughness elements. J. Fluid Mech. 488, 369-398.
4. BIESHEUVEL, A. & VAN WIJNGAARDEN, L. 1984 Two-phase flow equations for a dilute dispersion of gas bubbles in liquid. J. Fluid Mech. 148, 301-318.
5. BUSH, J. W. M. & EAMES, I. 1998 Fluid displacement by bubbles rising in a thin gap. Intl J. Multiphase Flow 24, 411-430.
6. COOK, T. L. & HARLOW, F. H. 1984 Virtual mass in multiphase flow. Intl J. Multiphase Flow 10, 691-696.
7. COUET, B., BROWN, P. & HUNT, A. 1991 Two-phase bubbly-droplet flow through a contraction: experiments and a unified model. Intl J. Multiphase Flow 17, 291-307.
8. DALTON, C. & HELFINSTINE, R. A. 1971 Potential flow past a group of circular cylinders. Trans. ASME: J. Basic Engng 93, 636-642.
9. DARWIN, C. G. 1953 A note on hydrodynamics. Proc. Camb. Phil. Soc. 49, 342-354.
10. DAVILA, J. & HUNT, J. C. R. 2001 Settling of small particles near vortices and in turbulence. J. Fluid Mech. 440, 117-145.
11. DREW, D. A. & WALLIS, G. B. 1992 Fundamentals of two-phase flow modelling. Third Intl Workshop on Two-Phase Flow Fundamentals (ed. G. F. Hewitt & R. T. Lahey).
12. EAMES, I., BELCHER, S. E. & HUNT, J. C. R. 1994 Drift, partial drift, and Darwin's proposition. J. Fluid Mech. 275, 201-223.
13. EAMES, I., HUNT, J. C. R. & BELCHER, S. E. 1996 Inviscid displacement by a sphere moving away from a wall. J. Fluid Mech. 324, 333-353.
14. EAMES, I. & BUSH, J. W. M. 1999 Longitudinal dispersion by bodies fixed in a potential flow. Proc. R. Soc. Lond. A 455, 3665-3686.
15. EAMES, I. & MCINTYRE, M. E. 1999 On the connection between Stokes and Darwin drift. Camb. Phil. Soc. Proc. 126, 171-174.
16. FINNIGAN, J. J. 2000 Turbulence in plant canopies. Annu. Rev. Fluid Mech. 32, 519-571.
17. GOVIER, G. W. & AZIZ, K. 1982 The Flow of Complex Mixtures in Pipes. Krieger, New York.
18. HUNT, J. C. R. & EAMES, I. 2002 The disappearance of laminar and turbulent wakes in complex and straining flows. J. Fluid Mech. 457, 111-132.
19. JANKOVIC, I., FIORI, A. & DAGAN, G. 2003 Effective conductivity of an isotropic heterogeneous medium of lognormal conductivity distribution. SIAM Multiscale Modelling. Analysis & Simulation 1, 40-56.
20. KOWE, R., HUNT, J. C. R., HUNT, A., COUET, B. & BRADBURY, L. J. S. 1988 The effects of bubbles on the volume fluxes and the pressure gradients in unsteady and non-uniform flow of liquids. Intl J. Multiphase Flow 14, 587-606.
21. LIGHTHILL, M. J. 1956 Drift J. Fluid Mech. 1, 31-53.
22. LIGHTHILL, M. J. 1986 An Informal Introduction to Theoretical Fluid Mechanics. Oxford University Press.
23. MAGNAUDET, J. & EAMES, I. 2000 Motion of high Reynolds number bubbles in inhomogeneous flows. Annu. Rev. Fluid Mech. 32, 659-708.
24. MOORE, D. W. 1963 The velocity of rise of distorted gas bubbles in a liquid of small viscosity. J. Fluid Mech. 16, 659-708.
25. MOULINEC, C., HUNT, J. C. R. & NIEUWSTADT, F. T. M. 2003 Disappearing wakes and dispersion in tube bundles. J. Flow Turbulence Combust. (Submitted)
26. SAFFMAN, P. G. 1992 Vortex Dynamics. Cambridge University Press.
27. STOKES, G. G. 1847 On the theory of oscillating waves. Trans. Camb. Phil. Soc. 8, 441-455.
28. TAYLOR, G. I. 1928 The energy of a body moving in an infinite fluid with applications to airships. Proc. R. Soc. Lond. A 70, 13-21.
29. TESHUKOV, V. M. & GAVRILYUK, S. L. 2002 Kinetic model for the motion of compressible bubbles in a perfect fluid. Eur. J. Mech. B/Fluids 21, 469-491.
30. URSELL, F. 1953 Mass transport in gravity waves. Proc. Camb. Phil. Soc. 40, 145-150.
31. WALLIS, G. B. 1969 One-dimensional 2-Phase Flow. McGraw-Hill.
32. WALLIS, G. B. 1989 Inertial coupling in two-phase flows. Multiphase Sci. Tech. 5, 239-361.
33. VAN WIJNGAARDEN, L. 1993 The mean rise velocity of pairwise-interacting bubbles in liquid. J. Fluid Mech. 251, 55-78.
34. YIH, C. S. 1985 New derivations of Darwin Theorem. J. Fluid Mech. 152, 163-172.
35. ZHANG, D. Z. & PROSPERETTI, A. 1994 Averaged equation for inviscid disperse two-phase flow. J. Fluid Mech. 267, 185-219.
36. ZUBER, N. & FINDLAY, J. A. 1965 Average volumetric concentration in two-phase flow systems. Trans. ASME: J. Heat Transfer 87, 453-468.