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ANALYTICAL MODELLING OF FLUID FLOW THROUGH A DEFORMABLE TUBE
1 : EMI
Agdal. Rabat -
Maroc
2 : Ecole Royale de l'Air
* : Auteur correspondant
Marrakech -
Maroc
In this document, we analytically investigate a fluid flow through a deformable tube. The fluid is considered to be newtonian, incompressible and it moves along an elastic and isotropic cylindrical wall. The study provides a review of recent modelling aimed at understanding the effects of fluid parameters over the elastic wall tube behaviour. The unsteady fluid flow will be analysed following the asymptotic approach process using to a large Reynolds number and a small aspect radio. Moreover, according the small axisymmetric deformation, the wall is mathematically developed basing on the thin shell theory whose linear approach is applied. Lastly, the dynamic behaviour of the tube is represented and discussed.
