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Journal Articles Journal of Applied Mechanics Year : 2009

Blocking in the rotating axial flow in a corotating flexible shell

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Abstract

By coupling the Donnell-Mushtari shell equations to an analytical inviscid fluid solution, the linear dynamics of a rotating cylindrical shell with a corotating axial fluid flow is studied. Previously discovered mathematical singularities in the flow solution are explained here by the physical phenomenon of blocking. From a reference frame moving with the traveling waves in the shell wall, the flow is identical to the flow in a rigid varicose tube. When the ratio of rotation rate to flow velocity approaches a critical value, the phenomenon of blocking creates a stagnation region between the humps of the wall. Since the linear model cannot account for this phenomenon, the solution blows up. Copyright © 2009 by ASME.
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Dates and versions

hal-01021126 , version 1 (10-07-2014)

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Frederick Gosselin, M.P. Païdoussis. Blocking in the rotating axial flow in a corotating flexible shell. Journal of Applied Mechanics, 2009, 76 (1), pp.011001. ⟨10.1115/1.2998486⟩. ⟨hal-01021126⟩
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