期刊
PHYSICS LETTERS A
卷 383, 期 26, 页码 -出版社
ELSEVIER
DOI: 10.1016/j.physleta.2019.125839
关键词
Kelvin-Helmholtz instability; Shallow water; Gravity waves; Drag; Dissipation induced instability
资金
- China Scholarship Council [201508330679]
- Ministry of Education, Culture, Sports, Science and Technology, Japan
- Japan Society for the Promotion of Science [16K05476]
- 2017 IMI Joint Use Research Program CATEGORY Short-term Joint Research
- Grants-in-Aid for Scientific Research [16K05476] Funding Source: KAKEN
We examine a frictional effect on the linear stability of an interface of discontinuity in tangential velocity. The fluid is moving with uniform velocity U in a region but is at rest in the other, and the bottom surface is assumed to exert drag force, quadratic in velocity, on the thin fluid layer. In the absence of the drag, the instability of the Kelvin-Helmholtz type is suppressed for U > root 8c, with c being the propagating speed of the gravity wave. We find by asymptotic analyses for both small and large values of the drag strength that the drag, regardless of its strength, makes the flow unstable for the whole range of the Froude number U/c. (C) 2019 Elsevier B.V. All rights reserved.
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