High Reynolds number flows in rotating and nutating cylinders. Spatial eigenvalue approach

Philip Hall, Raymond Sedney, Nathan Gerber

Research output: Contribution to journalArticleResearchpeer-review


The spatial eigenvalue expansion procedure that we have used previously to study viscous flow in rotating and mutating cylinders is studied in the high Reynolds number limit. It is shown that in this limit there is a significant simplification in the procedure employed to determine the amplitudes of the eigenfunctions used to describe the forced velocity field in the cylinder. More precisely, it is shown that these amplitudes can, to the order of Reynolds number used in this paper, be simply expressed in terms of Bessel functions. The method is used to calculate the pressure coefficient at a point on the end wall. Detailed comparisons with experimental results are made. It is found that the approach provides an accurate and extremely rapid way of determining this pressure coefficient.

Original languageEnglish
Pages (from-to)423-430
Number of pages8
JournalAIAA Journal
Issue number2
Publication statusPublished - Feb 1992
Externally publishedYes

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