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From: A. Marzo, X.Y. Luo and C.D. Bertram, “Three-dimensional collapse and steady flow in thick-walled flexible tubes”, Journal of Fluids and Structures, Vol. 20, pp 817-835, 2005
ABSTRACT: A. Marzo (1), X.Y. Luo (2) and C.D. Bertram (3)
(1) Department of Mechanical Engineering, University of Sheffield, Sheffield, UK
(2) Department of Mathematics, University of Glasgow, Glasgow, UK
(3) School of Biomedical Engineering, University of New South Wales, Sydney, Australia
“Three-dimensional collapse and steady flow in thick-walled flexible tubes”, Journal of Fluids and Structures, Vol. 20, pp 817-835, 2005
ABSTRACT: Three-dimensional collapse of and steady flow through finite-length elastic tubes are studied numerically.The Navier-Stokes equations coupled with large, nonlinear deformation of the elastic wall are solved by using the finite-element software, FIDAP. Three-dimensional solid elements are used for the elastic wall, allowing us to specify any wall thickness required. Plane-strain results for the cross-sectional shape of thinner-walled tubes are validated by comparison with published numerical data. Three-dimensional results for flow through finite-thickness tubes are in excellent agreement with published numerical results based on thin-shell elements, and are used to show the effects of varying wall thickness. Finally, the computational predictions are compared with experimental pressure–area relationships for thick walled tubes. The simulations confirm a previously neglected experimental finding, that the Young wavespeed can be lower between buckling and osculation for thick tubes than for thinner ones.
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