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Type: Conference paper
Title: Size-dependent bifurcations of microtubes conveying fluid flow embedded in a nonlinear elastic medium
Author: Farajpour, A.
Ghayesh, M.
Farokhi, H.
Citation: Proceedings of the 21st Australasian Fluid Mechanics Conference (AFMC 2018), 2018, pp.1-4
Publisher: Australian Fluid Mechanics Society
Issue Date: 2018
ISBN: 9780646597843
Conference Name: 21st Australasian Fluid Mechanics Conference (10 Dec 2018 - 13 Dec 2018 : Adelaide, Australia)
Statement of
Ali Farajpour, Mergen H. Ghayesh and Hamed Farokhi
Abstract: The size-dependent bifurcation behaviour of a fluid-conveying microtube taking into account the effect of internal energy loss is studied in this paper. It is assumed that the viscoelastic microscale tube is externally excited by a transverse harmonic force. In addition, the viscoelastic microscale system is surrounded by a nonlinear spring bed. To take into account the influence of the internal energy loss on the size-dependent bifurcation behaviour, the Kelvin-Voigt scheme of viscoelasticity is employed. The modified couple stress theory (MCST), as a size-dependent theory, and the Hamilton principle, as an energy/work law, are utilised for deriving the governing coupled equations for the bifurcation response of the viscoelastic fluid-conveying microtube. The displacement along the transverse direction as well as the axial displacement are incorporated into the size-dependent continuum model, leading to an accurate coupled continuum-based model. The Galerkin weighted-residual scheme, as a decomposition approach, is then applied to the derived nonlinear differential equations. Clamped-clamped boundary conditions are taken into consideration for extracting numerical results. The sizedependent bifurcation behaviour of the fluid-conveying viscoelastic microtube is finally predicted by a numerical timeintegration technique.
Rights: Commencing with 19AFMC, the Society holds copyright to papers which appear in the Proceedings. Prior to that, copyright resides with authors of the papers.
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Mechanical Engineering conference papers

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