An experimental study of low-Reynolds-number exchange flow of two Newtonian fluids in a vertical pipe

Journal of Fluid Mechanics

Volumn 682, Issue , 2011, Pages 652-670

  Beckett, F M ^a   Mader, H M ^a   Phillips, J C ^a   Rust, A C ^a   Witham, F ^a  

^a Wills Memorial Building   (United Kingdom)

Author keywords

Core annular flow; Magma and lava flow

Indexed keywords

NEWTONIAN LIQUIDS; RESERVOIRS (WATER); REYNOLDS NUMBER; ROOM AND PILLAR MINING; VISCOUS FLOW;

CONSTANT CURVATURE; CORE-ANNULAR FLOW; CYLINDRICAL PIPES; LAVA FLOWS; LOW REYNOLDS NUMBER; POWER-LAW FUNCTIONS; THEORETICAL APPROACH; VELOCITY PROFILES;

VISCOSITY;

EXPERIMENTAL STUDY; FLOW FIELD; FLOW MODELING; FLUID MECHANICS; NEWTONIAN FLUID; POWER LAW; REYNOLDS NUMBER; VELOCITY PROFILE; VISCOUS FLOW;

EID: 80052154536     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.264     Document Type: Article

References (23)

1. Arakeri, J H., Avila, F. E., Dada, J. M. & Tovar, R. O. 2000 Convection in long vertical tube due to unstable stratification: A new type of turbulent flow? Current Science 79, 859-866.
2. Burton, M R., Mader, H. M. & Polacci, M. 2007 The role of gas percolation in quiescent degassing of persistently active basaltic volcanoes. Earth Planet. Sci. Lett. 264, 46-60. (Pubitemid 350082127)
3. Cholemari, M R. & Arakeri, J. H. 2005 Experiments and a model of turbulent exchange flow in a vertical pipe. Intl J. Heat Mass Transfer 48, 4467-4473. (Pubitemid 41168440)
4. Dalziel, S B. 1992 Maximal exchange in channels with nonrectangular cross sections. J. Phys. Oceanogr. 22, 1188-1206.
5. Debacq, M, Fanguet, V., Hulin, J. P., Salin, D. & Perrin, B. 2001 Self-similar concentration profiles in buoyant mixing of miscible fluids in a vertical tube. Phys. Fluids 13, 3097-3100. (Pubitemid 33066919)
6. Debacq, M, Hulin, J. P., Salin, D., Perrin, B. & Hinch, E. J. 2003 Buoyant mixing of miscible fluids of varying viscosities in vertical tubes. Phys. Fluids 15, 3846-3855. (Pubitemid 38013231)
7. d'Olce, M., Martin, J., Rakotomalala, N., Salin, D. & Talon, L. 2008 Pearl and mushroom instability patterns in two miscible fluids' core annular flows. Phys. Fluids 20, 024104.
8. d'Olce, M., Martin, J., Rakotomalala, N., Salin, D. & Talon, L. 2009 Convective/absolute instability in miscible core-annular flow. Part 1. Experiments. J. Fluid. Mech 618, 305-322.
9. Everage, A E. 1973 Theory of stratified bicomponent flow of polymer melts. 1. Equilibrium Newtonian tube flow. Trans. Soc. Rheol. 17, 629-646.
10. Frigaard, I A. & Scherzer, O. 1998 Uniaxial exchange flows of two Bingham fluids in a cylindrical duct. IMA J. Appl. Maths 61, 237-266. (Pubitemid 128492827)
11. Huppert, H E. & Hallworth, M. A. 2007 Bi-directional flows in constrained systems. J. Fluid Mech. 578, 95-112. (Pubitemid 47307559)
12. Jaluria, Y, Lee, S. H. K., Mercier, G. P. & Tan, Q. 1998 Transport processes across a horizontal vent due to density and pressure differences. Exp. Therm. Fluid Sci. 16, 260-273. (Pubitemid 28444279)
13. Joseph, D D., Nguyen, K. & Beavers, G. S. 1984 Non-uniqueness and stability of the configuration of flow of immiscible fluids with different viscosities. J. Fluid Mech. 141, 319-345.
14. Kazahaya, K, Shinohara, H. & Saito, G. 1994 Excessive degassing of Izu-Oshima volcano: magma convection in a conduit. Bull. Volcanol. 56, 207-216.
15. Kerswell, R R. 2011 Exchange flow of two immiscible fluids and the principle of maximum flux. J. Fluid. Mech. 10.1017/jfm.2011.190.
16. Lee, B L. & White, J. L. 1974 An experimental study of rheological properties of polymer melts in laminar shear flow and of interface deformation and its mechanisms in two phase stratified flow. Trans. Soc. Rheol. 18, 467-492.
17. Minagawa, N & White, J. L. 1975 Co-extrusion of unfilled and TiO2-filled polyethylene: Influence of viscosity and die cross-section on interface shape. Poly. Engng Sci. 15, 825-830.
18. Séon, T., Hulin, J. P., Salin, D., Perrin, B. & Hinch, E. J. 2005 Buoyancy driven miscible front dynamics in tilted tubes. Phys. Fluids 17, 031702.
19. Southern, J H. & Ballman, R. I. 1975 Additional observations on stratified bicomponent flow of polymer melts in a tube. J. Poly. Sci 13, 863-869.
20. Stevenson, D S. & Blake, S. 1998 Modelling the dynamics and thermodynamics of volcanic degassing. Bull. Volcanol. 60, 307-317. (Pubitemid 29089780)
21. Williams, M C. 1975 Migration of two liquid phases in capillary extrusion: An energy interpretation. AIChE J. 21, 1204-1207.
22. Witham, F 2011 Conduit convection, magma mixing, and melt inclusion trends at persistently degassing volcanoes. Earth Planet. Sci. Lett. 301, 345-352.
23. Znaien, J, Hallez, Y., Moisy, F., Magnaudet, J., Hulin, J. P., Salin, D. & Hinch, E. J. 2009 Experimental and numerical investigations of flow structure and momentum transport in a turbulent buoyancy-driven flow inside a tilted tube. Phys. Fluids 21, 115102.