Blocking in the rotating axial flow in a corotating flexible shell

Frederick Gosselin (1) , M.P. Païdoussis (2)

1 LadHyX - Laboratoire d'hydrodynamique
2 Department of Mechanical Engineering [Montréal]

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.

Domains: Fluid mechanics [physics.class-ph]; Fluids mechanics [physics.class-ph]

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⟩