Inflation waves in non-linear distensible tubes

D. Elad, A. Foux, Y. Kivity, Y. Lanir

Research output: Contribution to journalArticlepeer-review


A mathematical model for large amplitude wave propagation in a thin walled distensible tube is developed. The tube wall is considered as a membranic shell made of an incompressible, non-linear viscoelastic material with cylindrical orthotropy. The fluid is regarded as incompressible and inviscid and the flow is quasi-one-dimensional. The case of a pressure step applied at one end of a uniform straight tube is solved as an example. The system of partial differential equations, describing the motions of the fluid and the wall, are integrated numerically by using a two-step explicit scheme. Flow and deformation variables as well as the wave velocity are determined in time and space.

Original languageEnglish
Pages (from-to)103-118
Number of pages16
JournalInternational Journal of Engineering Science
Issue number2
StatePublished - 1984
Externally publishedYes


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