Joined dissimilar thin elastic tubes containing steady perfect flow

Hart V.G. and Shi J. (1992) Joined dissimilar thin elastic tubes containing steady perfect flow. ZAMP Zeitschrift für angewandte Mathematik und Physik, 43 6: 1038-1054. doi:10.1007/BF00916427

Author Hart V.G.
Shi J.
Title Joined dissimilar thin elastic tubes containing steady perfect flow
Journal name ZAMP Zeitschrift für angewandte Mathematik und Physik   Check publisher's open access policy
ISSN 0044-2275
Publication date 1992-01-01
Sub-type Article (original research)
DOI 10.1007/BF00916427
Volume 43
Issue 6
Start page 1038
End page 1054
Total pages 17
Publisher Birkhäuser-Verlag
Subject 2604 Applied Mathematics
2600 Mathematics
Abstract Two tubes of circular cross-section and of the same radius initially, but composed of different elastic materials, are joined together to form a single straight tube with discontinuous properties. Stretching in the axial direction causes radial displacement that varies along the length of the tube. In a perfect inviscid incompressible flow through the tube of variable cross-section the internal pressure varies as described by Bernoulli's equation, and the variable pressure also causes variation of the radial displacement. The equations of coupled finite deformation and fluid pressure problem can be integrated explicitly (using membrane theory for the tube) for arbitrary material properties, but determination of the integration constants is not trivial. The results are interpreted numerically for Mooney materials. Also considered in this context is the similar problem where two semi-infinite cylindrical membranes of the same material are separated by a cuff of different material. Numerical illustrations are obtained for various upstream velocities. The results obtained here thus solve the problem of steady internal pressure loading of this type in extended dissimilar thin isotropic tubes. The tube will become unstable if the fluid velocity is too large. Applications to engineering structures are possible.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
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