Viscoelastically coupled mechanics of fluid-conveying microtubes

Mergen H. Ghayesh*, Ali Farajpour, Hamed Farokhi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)
3 Downloads (Pure)

Abstract

In this paper, the complex viscoelastically coupled global mechanics of fluid-conveying microtubes is examined for the first time. The externally excited microtube is assumed to be embedded in a nonlinear elastic medium. A scale-dependent theoretical model is presented with consideration of curvature nonlinearity within the context of the modified version of the couple stress theory (CST). According to Hamilton's energy/work principle, the coupled nonlinear equations of fluid-conveying microscale tubes are presented. Both the transverse and longitudinal displacements and inertia are taken into account in the continuum-based model and numerical calculations. In order to discretise the governing nonlinear differential equations, Galerkin's weighted-residual procedure is employed. The bifurcation characteristics of the fluid-conveying microsystem with clamped-clamped boundary conditions are obtained within the framework of a direct time-integration procedure. It is found that the complex global dynamics of the fluid-conveying microsystem is very sensitive to the speed of the flowing fluid.

Original languageEnglish
Article number103139
JournalInternational Journal of Engineering Science
Volume145
Early online date9 Oct 2019
DOIs
Publication statusPublished - 1 Dec 2019

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