Analytical modelling for Newtonian fluid flow through an elastic tube
1
University MV Rabat Morocco
2
Mohamed V University, Rabat, Morocco
3
Royal Air Force School, Marrakech, Morocco
Submission date: 2017-09-29
Final revision date: 2017-12-09
Acceptance date: 2017-12-15
Online publication date: 2017-12-19
Publication date: 2018-03-12
Corresponding author
Diagnostyka 2018;19(1):57–62
KEYWORDS
TOPICS
ABSTRACT
The objective of the present work is to develop analytical modelling of an unsteady fluid flow through an elastic tube. The fluid is considered to be newtonian and incompressible. The cylindrical tube wall boundaries are isotropic. The study provides a review of recent modelling aimed at understanding the effects of fluid parameters over the elastic tube wall behaviour. First of all, the fluid flow is analysed following an asymptotic approach according to a large Reynolds number and a small aspect radio. Second of all, the wall has been assumed to be a thin shell, which generates a small axisymmetric vibration. The mathematical model is developed according the thin shell theory. The dynamic behaviour of the tube wall is represented and discussed.
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