Pritchard, David and Hogg, Andrew J. (2002) Draining viscous gravity currents in a vertical fracture. Journal of Fluid Mechanics, 459. pp. 207-216. ISSN 0022-1120Full text not available in this repository. (Request a copy from the Strathclyde author)
We consider the flow of instantaneous releases of a finite volume of viscous fluid in a narrow vertical fracture or Hele-Shaw cell, when there is a still narrower vertical crack in the horizontal base of the cell. The predominant motion is over the horizontal surface, but fluid also drains through the crack, progressively diminishing the volume of the current in the fracture. When the crack is shallow on the scale of the current, it saturates immediately with the draining fluid. In this case, we obtain an exact analytical solution for the motion. When the crack is deeper and does not saturate immediately, we calculate numerically the motion of the fluid in both the fracture and the crack. In each case the current advances to a finite run-out length and then retreats: we describe both phases of the motion and characterize the run-out length in terms of the controlling parameters.
|Keywords:||fluid mechanics, mathematical analysis, viscous gravity currents i, Probabilities. Mathematical statistics, Mechanics of Materials, Mechanical Engineering, Condensed Matter Physics|
|Subjects:||Science > Mathematics > Probabilities. Mathematical statistics|
|Department:||Faculty of Science > Mathematics and Statistics|
|Depositing user:||Pure Administrator|
|Date Deposited:||12 Jan 2012 14:57|
|Last modified:||22 Mar 2017 11:56|