Fluid Flow in Distensible Vessels

Bertram, Christopher

doi:10.1111/j.1440-1681.2008.05047.x

Cited by 13 publications

(9 citation statements)

References 97 publications

(134 reference statements)

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“…Flow separation near a constriction was studied numerically by [13] [14] [15]. Recent research provides numerous examples of experimental studies about tube oscillations [16] [17] [18] [19].…”

Section: Introductionmentioning

confidence: 99%

Experiments of draining and filling processes in a collapsible tube at high external pressure

Flaud

Guesdon²,

Fullana

2012

Eur. Phys. J. Appl. Phys.

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Abstract. The venous circulation in the lower limb is mainly controlled by the muscular action of the calf.To study the mechanisms governing the venous draining and filling process in such situation, an experimental setup, composed by a collapsible tube under external pressure has been built. A valve preventing back flows is inserted at the bottom of the tube, and allows to model two different configurations : physiologic when the fluid flow is uni-directional and pathological when the fluid flows in both directions. Pressure and flow rate measurements are done at the inlet and outlet of the tube and an original optical device with three cameras is proposed to measure the instantaneous cross-sectional area. The experimental results (draining and filling with physiologic or pathological valves) are confronted to a simple one dimensional numerical model which completes the physical interpretation. One major observation is that the muscular contraction induces a fast emptying phase followed by a slow one controlled by viscous effects, and that a defect of the valve decreases, as expected, the ejected volume.

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Section: Introductionmentioning

confidence: 99%

Experiments of draining and filling processes in a collapsible tube at high external pressure

Flaud

Guesdon²,

Fullana

2012

Eur. Phys. J. Appl. Phys.

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“…It has many biomechanical applications as flexible conduits are universal in the human body. Examples of these are the arterial, venous, lymphatic, pulmonary airway and urinary systems [1].…”

Section: Introductionmentioning

confidence: 99%

Flow-Induced Deformations of a Compliant Insert in Channel Flow: From Small to Large Amplitudes

Lai

Lucey

Elliott

2012

Volume 1: 24th Conference on Mechanical Vibration and Noise, Parts a and B

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In this paper we consider a fluid-conveying channel with a compliant insert undergoing large amplitude flow-induced deformations. The objective is to assess the suitability of an open source finite element library oomph-lib for modelling this system. The fundamental system is relevant to a host of applications in both engineered (e.g. flexible-pipes, membrane filters, and general aero-/hydro-elasticity) and biomechanical (e.g. blood flow, airway flow) systems. The structural model uses a geometrically nonlinear formulation of the solid mechanics. Viscous flow is modelled at Reynolds numbers producing unsteady laminar flow. We present a brief summary of previous component validations with oomph-lib. We then focus on the unsteady-state FSI validation by comparing with published results, obtained using different computational schemes. This is done for both small-amplitude and large-amplitude wall deformations. Finally, we look at some preliminary energetics analysis of the flexible wall. The validations demonstrate the suitability and versatility of oomph-lib as a modelling and predictive tool. The flexible wall energetics validation show the possibility of understanding system stability through analysis of the flexible wall and fluid energetics.

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Section: Introductionmentioning

confidence: 99%

Computational modelling of a fluid-conveying flexible channel using oomph-lib

Lai

Lucey

Elliott

et al. 2011

Chan, F., Marinova, D. And Anderssen, R.S. (Eds) MODSIM2011, 19th International Congress on Modelling and Simulation.

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The objective of this paper is to assess the suitability of a new, open-source, Finite Element Modelling (FEM) program called Object-Oriented Multi-Physics Finite-Element Library (oomph-lib) to study the Fluid-Structure Interaction (FSI) mechanics of a fluid-conveying two-dimensional channel that has a flexible section. Previous studies have shown that this system contains rich dynamics that can include unstable oscillations of the flexible-wall section due to the fluid loading that itself is determined by the wall motion. The fundamental system is relevant to a host of applications in both engineered (e.g. flexible-pipes, membrane filters, and general aero-/hydro-elasticity) and biomechanical (e.g. blood flow, airway flow) systems.The computational model developed using oomph-lib accounts for unsteady laminar flow interacting with large-amplitude (nonlinear) deformations of a thin flexible wall. The fluid loading on the wall comprises both pressure and viscous stresses while the wall mechanics includes inertial, flexural and tension forces. Nonlinear effects in the wall mechanics principally arises through the tension induced by its deformation and the correct modelling of its geometry throughout its motion. The discretised equations for the coupled fluid and structural dynamics are combined to yield a single (monolithic) matrix differential equation for all of the fluid and wall variables that is solved through a time-stepping algorithm so as to generate numerical simulations of the system behaviour.In this paper we present results of a systematic validation of the computational model developed. Meanflow mechanics are validated by comparison against theory for Poiseuille flow through the channel with the flexible-wall held in its undisplaced position. Appropriate comparisons of statically-loaded deformations and in-vacuo vibrations of the flexible wall are made against linear theory and the limits of linear behaviour identified. The steady-state FSI is validated by comparing large-amplitude wall deformations, pressure and skin-friction loadings with published computational results that were obtained using a different computational scheme that is not in the public domain. Finally, some preliminary results of large amplitude dynamic FSI for the system are presented and discussed. Taken together, these results demonstrate the suitability of oomph-lib as a modelling and predictive tool for the study of fluid-conveying flexible pipes.

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Fluid Flow in Distensible Vessels

Cited by 13 publications

References 97 publications

Experiments of draining and filling processes in a collapsible tube at high external pressure

Experiments of draining and filling processes in a collapsible tube at high external pressure

Flow-Induced Deformations of a Compliant Insert in Channel Flow: From Small to Large Amplitudes

Computational modelling of a fluid-conveying flexible channel using oomph-lib

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