Blocking in the rotating axial flow in a corotating flexible shell

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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Submitted on : Thursday, July 10, 2014 - 9:11:50 PM
Last modification on : Wednesday, March 27, 2019 - 4:39:25 PM

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

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