Free-surface gravity flow past a submerged cylinder

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Abstract

The flow past a circular cylinder moving close to a free surface at high Froude number is investigated by the method of matched asymptotic expansions. In contrast with the linearized solution in which the dimensionless depth of immersion h = h′g/U′2 is kept constant, in the present analysis h → 0 as Fr → ∞. The inner flow model is that of a non-separated non-linear gravity-free flow past a doublet, while the linear outer solution is that of a singularity a t the free surface. At deep submergence the solution coincides with the linearized solution. At moderate immersion depths the linearized solution is still valid, provided that the depth is replaced by an effective depth, larger than the actual one. For a body close to the free surface the non-linear solution differs significantly from the linearized solution.

Original languageEnglish
Pages (from-to)179-192
Number of pages14
JournalJournal of Fluid Mechanics
Volume49
Issue number1
DOIs
StatePublished - 13 Sep 1971
Externally publishedYes

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