Miscible density-unstable displacement flows in inclined tube

Physics of Fluids

Volumn 25, Issue 6, 2013, Pages

  Alba, K ^a   Taghavi, S M ^b   Frigaard, I A ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NEWTONIAN LIQUIDS; REYNOLDS NUMBER;

DENSIMETRIC FROUDE NUMBER; DIFFERENT DENSITIES; DIFFUSIVE REGIME; DIMENSIONLESS GROUPS; LAMINAR VISCOUS FLOW; MACROSCOPIC DIFFUSION; NEWTONIAN FLUIDS; PIPE INCLINATIONS;

DIFFUSION IN LIQUIDS;

EID: 84880117663     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4808113     Document Type: Article

References (28)

1. Taghavi S.M. Seon T. Martinez D.M. Frigaard I.A. Buoyancy-dominated displacement flows in near-horizontal channels: the viscous limit. J. Fluid. Mech. 2009, 639:1-35. 10.1017/S0022112009990620.
2. Taghavi S.M. Seon T. Martinez D.M. Frigaard I.A. Influence of an imposed flow on the stability of a gravity current in a near horizontal duct. Phys. Fluids 2010, 22:031702. 10.1063/1.3326074.
3. Taghavi S.M. Seon T. Wielage-Burchard K. Martinez D.M. Frigaard I.A. Stationary residual layers in buoyant newtonian displacement flows. Phys. Fluids 2011, 23:044105. 10.1063/1.3581063.
4. Taghavi S.M. Alba K. Seon T. Wielage-Burchard K. Martinez D.M. Frigaard I.A. Miscible displacement flows in near-horizontal ducts at low Atwood number. J. Fluid. Mech. 2012, 696:175-214. 10.1017/jfm.2012.26.
5. Debacq M. Fanguet V. Hulin J.P. Salin D. Perrin B. Self similar concentration profiles in buoyant mixing of miscible fluids in a vertical tube. Phys. Fluids 2001, 13:3097-3100. 10.1063/1.1405442.
6. Debacq M. Hulin J.P. Salin D. Perrin B. Hinch E.J. Buoyant mixing of miscible fluids of varying viscosities in vertical tube. Phys Fluids 2003, 15:3846-3855. 10.1063/1.1624838.
7. Seon T. Hulin J.-P. Salin D. Perrin B. Hinch E.J. Buoyant mixing of miscible fluids in tilted tubes. Phys. Fluids 2004, 16:L103-L106. 10.1063/1.1808771.
8. Seon T. Hulin J.-P. Salin D. Perrin B. Hinch E.J. Buoyancy driven miscible front dynamics in tilted tubes. Phys. Fluids 2005, 17:031702. 10.1063/1.1863332.
9. Seon T. Hulin J.-P. Salin D. Perrin B. Hinch E.J. Laser-induced fluorescence measurements of buoyancy driven mixing in tilted tubes. Phys. Fluids 2006, 18:041701. 10.1063/1.2189286.
10. Seon T. Znaien J. Salin D. Hulin J.-P. Hinch E.J. Perrin B. Transient buoyancy-driven front dynamics in nearly horizontal tubes. Phys. Fluids 2007, 19:123603. 10.1063/1.2813581.
11. Seon T. Znaien J. Salin D. Hulin J.-P. Hinch E.J. Perrin B. Front dynamics and macroscopic diffusion in buoyant mixing in a tilted tube. Phys. Fluids 2007, 19:125105. 10.1063/1.2821733.
12. Znaien J. Moisy F. Hulin J.-P. Flow structure and momentum transport for buoyancy driven mixing flows in long tubes at different tilt angles. Phys. Fluids 2011, 23:035105. 10.1063/1.3560005.
13. Hallez Y. Magnaudet J. Turbulence-induced secondary motion in a buoyancy-driven flow in a circular pipe. Phys. Fluids 2009, 21:081704. 10.1063/1.3213246.
14. Taylor G. The dispersion of matter in turbulent flow through a pipe. Proc. R. Soc. London, Ser. A 1954, 223(1155):446-468. 10.1098/rspa.1954.0130.
15. Tichacek L.J. Barkelew C.H. Baron T. Axial mixing in pipes. AIChE J. 1957, 3(4):439-442. 10.1002/aic.690030404.
16. Alba K. Taghavi S.M. Frigaard I.A. Miscible density-stable displacement flows in inclined tube. Phys. Fluids 2012, 24:123102. 10.1063/1.4766197.
17. Chen C.-Y. Meiburg E. Miscible displacements in capillary tubes. Part 2. Numerical simulations. J. Fluid Mech. 1996, 326:57-90. 10.1017/S0022112096008245.
18. Petitjeans P. Maxworthy T. Miscible displacements in capillary tubes. Part 1. Experiments. J. Fluid Mech. 1996, 326:37-56. 10.1017/S0022112096008233.
19. Lajeunesse E. Martin J. Rakotomalala N. Salin D. Yortsos Y. Miscible displacement in a Hele-Shaw cell at high rates. J. Fluid Mech. 1999, 398:299-319. 10.1017/S0022112099006357.
20. Scoffoni J. Lajeunesse E. Homsy G.M. Interface instabilities during displacements of two miscible fluids in a vertical pipe. Phys. Fluids 2001, 13(3):553-556. 10.1063/1.1343907.
21. Balasubramaniam R. Rashidnia N. Maxworthy T. Kuang J. Instability of miscible interfaces in a cylindrical tube. Phys. Fluids 2005, 17:052103. 10.1063/1.1884645.
22. Kuang J. Petitjeans P. Maxworthy T. Velocity fields and streamline patterns of miscible displacements in cylindrical tubes. Exp. Fluids 2004, 37(2):301-308. 10.1007/s00348-004-0824-0.
23. Taghavi S.M. From displacement to mixing in a slightly inclined duct. 2011, "," Ph.D. dissertation (University of British Columbia,).
24. Séon T. Hulin J.-P. Salin D. Perrin B. Hinch E.J. From turbulent mixing to gravity currents in tilted tubes. Phys. Fluids 2006, 18(9):091103. 10.1063/1.2335904.
25. Brunone B. Berni A. Wall shear stress in transient turbulent pipe flow by local velocity measurement. J. Hydraul. Eng., ASCE 2010, 136(10):716-726. 10.1061/(ASCE)HY.1943-7900.0000234.
26. Cantero M.I. Lee J.R. Balachandar S. Garcia M.H. On the front velocity of gravity currents. J. Fluid Mech. 2007, 586:1. 10.1017/S0022112007005769.
27. Flint L.F. Eisenklam P. Longitudinal gas dispersion in transitional and turbulent flow through a straight tube. Can. J. Chem. Eng. 1969, 47(2):101-106. 10.1002/cjce.5450470201.
28. Ekambara K. Joshi J.B. Axial mixing in pipe flows: turbulent and transition regions. Chem. Eng. Sci. 2003, 58(12):2715-2724. 10.1016/S0009-2509(03)00102-7.