The stability of the decaying flow in a suddenly blocked channel

P. Hall; K. H. Parker

doi:10.1017/S0022112076000232

The stability of the decaying flow in a suddenly blocked channel

P. Hall
, K. H. Parker

Research output: Contribution to journal › Article › Research › peer-review

26 Citations (Scopus)

Abstract

The stability of the decaying laminar flow in a suddenly blocked channel is investigated. The partial differential system governing the stability of the flow is solved using a WKB type of approach. It is shown that the first term of the WKB expansion of the disturbance velocity field is just that obtained by a quasi-steady approach. The flow is found to be unstable at quite small Reynolds numbers. This instability is associated with the inflexional nature of the velocity profiles of the decaying flow.

Original language	English
Pages (from-to)	305-314
Number of pages	10
Journal	Journal of Fluid Mechanics
Volume	75
Issue number	2
DOIs	https://doi.org/10.1017/S0022112076000232
Publication status	Published - 1 Jan 1976
Externally published	Yes

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title = "The stability of the decaying flow in a suddenly blocked channel",

abstract = "The stability of the decaying laminar flow in a suddenly blocked channel is investigated. The partial differential system governing the stability of the flow is solved using a WKB type of approach. It is shown that the first term of the WKB expansion of the disturbance velocity field is just that obtained by a quasi-steady approach. The flow is found to be unstable at quite small Reynolds numbers. This instability is associated with the inflexional nature of the velocity profiles of the decaying flow.",

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AB - The stability of the decaying laminar flow in a suddenly blocked channel is investigated. The partial differential system governing the stability of the flow is solved using a WKB type of approach. It is shown that the first term of the WKB expansion of the disturbance velocity field is just that obtained by a quasi-steady approach. The flow is found to be unstable at quite small Reynolds numbers. This instability is associated with the inflexional nature of the velocity profiles of the decaying flow.

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DO - 10.1017/S0022112076000232

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JO - Journal of Fluid Mechanics

JF - Journal of Fluid Mechanics

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The stability of the decaying flow in a suddenly blocked channel

Abstract

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