1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
/content/aip/journal/pof2/19/12/10.1063/1.2813581
1.
1.T. B. Benjamin, “Gravity currents and related phenomena,” J. Fluid Mech. 31, 209 (1968).
http://dx.doi.org/10.1017/S0022112068000133
2.
2.J. E. Simpson, Gravity Currents in the Environment and the Laboratory, 2nd ed. (Cambridge University Press, Cambridge, UK, 1997).
3.
3.R. E. Britter and J. E. Simpson, “Experiments on the dynamics of a gravity current head,” J. Fluid Mech. 88, 223 (1978).
http://dx.doi.org/10.1017/S0022112078002074
4.
4.C. Härtel, E. Meiburg, and F. Necker, “Analysis and numerical simulation of the flow at a gravity-current head. Part 1: Flow topology and front speed for slip and no-slip boundaries,” J. Fluid Mech. 418, 189 (2000).
http://dx.doi.org/10.1017/S0022112000001221
5.
5.D. Hoult, “Oil spreading in the sea,” Annu. Rev. Fluid Mech. 4, 341 (1972).
http://dx.doi.org/10.1146/annurev.fl.04.010172.002013
6.
6.N. Didden and T. Maxworthy, “The viscous spreading of plane and axisymmetric gravity currents,” J. Fluid Mech. 121, 27 (1982).
http://dx.doi.org/10.1017/S0022112082001785
7.
7.H. E. Huppert, “The propagation of two-dimensional and axisymmetric gravity currents over a rigid horizontal surface,” J. Fluid Mech. 121, 43 (1982).
http://dx.doi.org/10.1017/S0022112082001797
8.
8.D. I. H. Barr, “Densimetric exchange flows in rectangular channels,” Houille Blanche 22, 619 (1967).
9.
9.J. O. Shin, S. B. Dalziel, and P. F. Linden, “Gravity currents produced by lock exchange,” J. Fluid Mech. 521, 1 (2004).
http://dx.doi.org/10.1017/S002211200400165X
10.
10.V. K. Birman, B. A. Battandier, E. Meiburg, and P. F. Linden, “Lock-exchange flows in sloping channels,” J. Fluid Mech. 53, 1 (2007).
http://dx.doi.org/10.1017/S0022112072000011
11.
11.T. Seon, J. P. Hulin, D. Salin, B. Perrin, and E. J. Hinch, “Buoyant mixing of miscible fluids in tilted tubes,” Phys. Fluids 16, L103 (2004).
http://dx.doi.org/10.1063/1.1808771
12.
12.T. Seon, D. Salin, J. P. Hulin, B. Perrin, and E. J. Hinch, “Buoyancy driven front dynamics in tilted tubes,” Phys. Fluids 17, 031702 (2005).
http://dx.doi.org/10.1063/1.1863332
13.
13.T. Seon, J. P. Hulin, D. Salin, B. Perrin, and E. J. Hinch, “LIF measurements of buoyancy driven mixing in tilted tubes,” Phys. Fluids 18, 041701 (2006).
http://dx.doi.org/10.1063/1.2189286
14.
14.Y. Hallez and J. Magnaudet (private communication).
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/12/10.1063/1.2813581
Loading
/content/aip/journal/pof2/19/12/10.1063/1.2813581
Loading

Data & Media loading...

Loading

Article metrics loading...

/content/aip/journal/pof2/19/12/10.1063/1.2813581
2007-12-10
2015-07-06

Abstract

The interpenetration of light and heavy liquids has been studied in a long tube inclined at small angles to the horizontal. For angles greater than a critical angle (whose value decreases when the density contrast measured by the Atwood number increases), the velocity of the interpenetration front is controlled by inertia and takes the steady value , with . At lower angles, the front is initially controlled by inertia, but later limited by viscous effects. The transition occurs at a distance , which increases indefinitely as increases to . Once the viscous effects act, the velocity of the front decreases in time to a steady value which is proportional to . For a horizontal tube in the viscous regime, the velocity of the front decreases to zero as . At the same time, the profile of the interface only depends on the reduced variable . A quasi-unidirectional model reproduces well the variation of the velocity of the front and the profiles of the interface, both in inclined and horizontal tubes. In the inclined tube, the velocity of the front is determined by matching rarefaction waves to a shock wave.

Loading

Full text loading...

/deliver/fulltext/aip/journal/pof2/19/12/1.2813581.html;jsessionid=gcojijmr2t8ll.x-aip-live-02?itemId=/content/aip/journal/pof2/19/12/10.1063/1.2813581&mimeType=html&fmt=ahah&containerItemId=content/aip/journal/pof2
true
true
This is a required field
Please enter a valid email address

Oops! This section does not exist...

Use the links on this page to find existing content.

752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Transient buoyancy-driven front dynamics in nearly horizontal tubes
http://aip.metastore.ingenta.com/content/aip/journal/pof2/19/12/10.1063/1.2813581
10.1063/1.2813581
SEARCH_EXPAND_ITEM