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Article
Analytical Modeling of Fluid Flow through a Deformable Tube
Author(s)
Abdessamad Mehdari1, Mohammed Hasnaoui2 and Mohammed Agouzoul1
Full-Text PDF XML 497 Views
DOI:10.17265/2159-5275/2018.01.004
Affiliation(s)
1. Mechanical Engineering Department, Mohammadia School of Engineering, Mohammed V University, Rabat 10 090, Morocco
2. Structure and Material Department, Royal Air Force School, Marrakech 40 000, Morocco
ABSTRACT
In
this document, we analytically investigate fluid flow through a deformable tube.
The fluid is considered to be Newtonian, incompressible and it moves along an elastic
and isotropic tube wall. The study provides a review of recent modeling aimed at
understanding the effects of fluid parameters over the elastic wall
behavior. The unsteady fluid
flow will be analyzed following the asymptotic approach process using to a large
Reynolds number and a small aspect radio. Moreover, according
to the small axisymmetric deformation,
the wall is mathematically developed basing on the thin shell theory whose linear
approach is applied. Lastly, the dynamic behavior of the tube is represented and
discussed.
KEYWORDS
Analytically, study, fluid, deformable, tube.
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