On the low-Rossby-number flow of a rotating fluid past a circular cylinder

Michael A. Page

Research output: Contribution to journalArticleResearchpeer-review

13 Citations (Scopus)

Abstract

The flow past a cylinder in a rapidly rotating frame is described when the Rossby number Ro is 0(E½), where E is the Ekman number. Previous studies of the configuration have noticed the development of a singularity within the E¼layer at the rear stagnation point once the ratio Ro/E½ is larger than a critical value, and concluded that the boundary-layer flow is unsteady. In this paper a description of a steady boundary-layer flow for this parameter range is presented, showing the development of flow separation as Ro/E½ approaches a larger critical value. Details of the flow once the E¼ layer has separated from the cylinder are also described.

Original languageEnglish
Pages (from-to)205-221
Number of pages17
JournalJournal of Fluid Mechanics
Volume156
DOIs
Publication statusPublished - 1 Jan 1985

Cite this

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On the low-Rossby-number flow of a rotating fluid past a circular cylinder. / Page, Michael A.

In: Journal of Fluid Mechanics, Vol. 156, 01.01.1985, p. 205-221.

Research output: Contribution to journalArticleResearchpeer-review

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AB - The flow past a cylinder in a rapidly rotating frame is described when the Rossby number Ro is 0(E½), where E is the Ekman number. Previous studies of the configuration have noticed the development of a singularity within the E¼layer at the rear stagnation point once the ratio Ro/E½ is larger than a critical value, and concluded that the boundary-layer flow is unsteady. In this paper a description of a steady boundary-layer flow for this parameter range is presented, showing the development of flow separation as Ro/E½ approaches a larger critical value. Details of the flow once the E¼ layer has separated from the cylinder are also described.

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