Heil, M. (1996) The Stability of Cylindrical Shells Conveying
Viscous Flow. Journal of Fluids and Structures 10, 173-196.
This paper examines the stability of cylindrical shells conveying
viscous flow. Geometrically non-linear Lagrangian shell theory is used to
describe the deformation of the tube wall. The fluid flow is modelled
using lubrication theory. The coupled fluid-solid problem is discretised with
finite differences and the critical parameter combinations (upstream pressure
and volume flux) for which the tube buckles are examined. The most unstable
circumferential buckling wavenumber and the buckling modes are determined
for an experimental procedure in which the upstream pressure is held at
a constant value while the volume flux is increased until buckling occurs.
Finally, the effect of variations in the tube's geometry and the
effects of the axial pre-stretch are examined.
Page last modified: November 5, 1997
Back to Matthias Heil's home page..