On ice-induced instability in free-surface flows.
| dc.contributor.author | Shapiro, Evgeniy | |
| dc.contributor.author | Timoshin, Sergei | |
| dc.date.accessioned | 2008-06-13T11:39:48Z | |
| dc.date.available | 2008-06-13T11:39:48Z | |
| dc.date.issued | 2007-04 | |
| dc.description.abstract | The problem of stability of a water-coated ice layer is investigated for a free-surface flow of a thin water film down an inclined plane. An asymptotic (double-deck) theory is developed for a flow with large Reynolds and Froude numbers which is then used to investigate linear two-dimensional, three-dimensional and nonlinear two-dimensional stability characteristics. A new mode of upstream-propagating instability arising from the interaction of the ice surface with the flow is discovered and its properties are investigated. In the linear limit, closed-form expressions for the dispersion relation and neutral curves are obtained for the case of Pr = 1. For the general case, the linear stability problem is solved numerically and the applicability of the solution with Pr = 1 is analysed. Nonlinear double-deck equations are solved with a novel global-marching-type scheme and the effects of nonlinearity are investigated. An explanation of the physical mechanism leading to the upstream propagation of instability waves is provided. | en_UK |
| dc.identifier.citation | Evgeniy Shapiro and Sergei Timoshin, On ice-induced instability in free-surface flows. Journal of Fluid Mechanics (2007), 577: 25-52 | en_UK |
| dc.identifier.issn | 0022-1120 | |
| dc.identifier.uri | http://dx.doi.org/10.1017/S0022112006004459 | |
| dc.identifier.uri | http://hdl.handle.net/1826/2627 | |
| dc.language.iso | en | en_UK |
| dc.publisher | Cambridge University Press | en_UK |
| dc.title | On ice-induced instability in free-surface flows. | en_UK |
| dc.type | Postprint | en_UK |