Gravity flow of a viscous liquid down a slope with injection
- 1 October 1988
- journal article
- letter
- Published by AIP Publishing in Physics of Fluids
- Vol. 31 (10) , 2739-2741
- https://doi.org/10.1063/1.866977
Abstract
The free‐surface lubrication equations are solved numerically for the time‐dependent three‐dimensional flow down an inclined plane produced by continuous injection through a circular orifice in the plane. The flow pattern ultimately becomes steady with stream depth and width scaling as the − (1)/(7) th power and (3)/(7) th power of the downslope distance from the orifice, in agreement with a known similarity solution. The predicted stream width gives partial agreement with a recent experimental result, even though significant thermal effects were present in the experiment. The physical prototype is flow of lava.Keywords
This publication has 4 references indexed in Scilit:
- Rheological Properties of MagmasAnnual Review of Earth and Planetary Sciences, 1984
- Dynamics of lava flow fronts, Arenal Volcano, Costa RicaJournal of Volcanology and Geothermal Research, 1983
- The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surfaceJournal of Fluid Mechanics, 1982
- A similarity solution for slow viscous flow down an inclined planeJournal of Fluid Mechanics, 1973