Large‐amplitude long waves in a shear flow
作者:
Melvin E. Stern,
Nathan Paldor,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1983)
卷期:
Volume 26,
issue 4
页码: 906-919
ISSN:0031-9171
年代: 1983
DOI:10.1063/1.864240
出版商: AIP
数据来源: AIP
摘要:
Large amplitude disturbances in a boundary layer shear flow are considered in an inviscid and long‐wave theory. Initially weak horizontal convergences are concentrated and amplified in time, thereby increasing the maximum normal velocity (v) until it becomes comparable with the horizontal velocity. The effect is first demonstrated in a two‐dimensional model having piecewise uniform vorticity. The leading edge of the compact disturbance propagates downstream more rapidly than the trailing edge, but no ‘‘quiet’’ zone appears in the center. Insteadv→∞ and a tendency for wavebreaking occurs. The evolving largevpattern is consistent with observations of the laminar spike just prior to its breakdown. The long‐wave theory is generalized to three‐dimensional motions, and the effect of an initial spanwise divergence is such as to rationalize the initial vorticity assumed in the two‐dimensional model.
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