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|Title:||Size-dependent bifurcations of microtubes conveying fluid flow embedded in a nonlinear elastic medium|
|Citation:||Proceedings of the 21st Australasian Fluid Mechanics Conference (AFMC 2018), 2018 / pp.1-4|
|Publisher:||Australian Fluid Mechanics Society|
|Conference Name:||21st Australasian Fluid Mechanics Conference (10 Dec 2018 - 13 Dec 2018 : Adelaide, Australia)|
|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.|
|Appears in Collections:||Mechanical Engineering conference papers|
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