Back to Search
Start Over
Viscous lock-exchange in rectangular channels
Viscous lock-exchange in rectangular channels
- Source :
- Journal of Fluid Mechanics, Journal of Fluid Mechanics, Cambridge University Press (CUP), 2011, 673, pp.132-146. ⟨10.1017/S0022112010006208⟩
- Publication Year :
- 2011
- Publisher :
- HAL CCSD, 2011.
-
Abstract
- In a viscous lock-exchange gravity current, which describes the reciprocal exchange of two fluids of different densities in a horizontal channel, the front between two Newtonian fluids spreads as the square root of time. The resulting diffusion coefficient reflects the competition between the buoyancy driving effect and the viscous damping, and depends on the geometry of the channel. This lock-exchange diffusion coefficient has already been computed for a porous medium, a 2D Stokes flow between two parallel horizontal boundaries separated by a vertical height, H, and, recently, for a cylindrical tube. In the present paper, we calculate it, analytically, for a rectangular channel (horizontal thickness b, vertical height, H) of any aspect ratio (H/b) and compare our results with experiments in horizontal rectangular channels for a wide range of aspect ratios (1/10-10). We also discuss the 2D Stokes-Darcy model for flows in Hele-Shaw cells and show that it leads to a rather good approximation, when an appropriate Brinkman correction is used.<br />Comment: 16 pages,7 figures
- Subjects :
- Physics
[PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Mechanics of the fluids [physics.class-ph]
Computer Science::Information Retrieval
Mechanical Engineering
FOS: Physical sciences
Mechanics
Stokes flow
Condensed Matter - Soft Condensed Matter
Condensed Matter Physics
01 natural sciences
Aspect ratio (image)
010305 fluids & plasmas
Gravity current
Physics::Fluid Dynamics
Hele-Shaw flow
Mechanics of Materials
0103 physical sciences
Newtonian fluid
Soft Condensed Matter (cond-mat.soft)
Two-phase flow
Diffusion (business)
010306 general physics
Porous medium
Subjects
Details
- Language :
- English
- ISSN :
- 00221120 and 14697645
- Database :
- OpenAIRE
- Journal :
- Journal of Fluid Mechanics, Journal of Fluid Mechanics, Cambridge University Press (CUP), 2011, 673, pp.132-146. ⟨10.1017/S0022112010006208⟩
- Accession number :
- edsair.doi.dedup.....c08518825a8b3595dfc9c6738862e70e
- Full Text :
- https://doi.org/10.1017/S0022112010006208⟩