Computational Stability Analysis of a Channel Flow with a Large Deformation Compliant Insert

We consider a fluid-conveying channel with a compliant insert, or wall, undergoing flow-induced deformations. The objective is to understand the mechanism that can cause selfexcited oscillations of a fundamental system that underpins a host of both engineered (e.g. flexible-pipes, membrane filters)...

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Main Authors: Lai, L.S.H., Lucey, Anthony, Elliott, Novak
Other Authors: PA Brandner an BW Pearce
Format: Conference Paper
Published: Australasian Fluid Mechanics Society 2012
Online Access:http://people.eng.unimelb.edu.au/imarusic/proceedings/18/272%20-%20Lucey.pdf
http://hdl.handle.net/20.500.11937/19737
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author Lai, L.S.H.
Lucey, Anthony
Elliott, Novak
author2 PA Brandner an BW Pearce
author_facet PA Brandner an BW Pearce
Lai, L.S.H.
Lucey, Anthony
Elliott, Novak
author_sort Lai, L.S.H.
building Curtin Institutional Repository
collection Online Access
description We consider a fluid-conveying channel with a compliant insert, or wall, undergoing flow-induced deformations. The objective is to understand the mechanism that can cause selfexcited oscillations of a fundamental system that underpins a host of both engineered (e.g. flexible-pipes, membrane filters) and biomechanical (e.g. blood flow, airway flow) applications. The computational model is developed using the open-source fluid-structure interaction software oomph-lib that accounts for unsteady laminar flow interacting with large-amplitude deformations of a thin flexible wall. The fluid loading on the compliant wall comprises both pressure and viscous stresses while the wall mechanics includes flexural and tensile forces. The discretised equations for the coupled fluid and structural dynamics are combined to yield a single monolithic matrix differential equation for fluid and wall variables, which is solved through a timestepping procedure. We present a brief summary of validations performed that demonstrate the appropriateness of oomph-lib as a modelling tool for the system. Cases are then presented to contrast the system in stable and unstable conditions and we offer an explanation of the physical causes of non-linear saturated oscillation by examining the nature of wall deformations and their effect on the pressure gradient along the wall. We surmise that instability occurs principally through fluctuating energy transfers between wall and fluid that are driven by separation-point changes over each cycle of oscillation.
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institution Curtin University Malaysia
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publishDate 2012
publisher Australasian Fluid Mechanics Society
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spelling curtin-20.500.11937-197372023-02-02T07:57:39Z Computational Stability Analysis of a Channel Flow with a Large Deformation Compliant Insert Lai, L.S.H. Lucey, Anthony Elliott, Novak PA Brandner an BW Pearce We consider a fluid-conveying channel with a compliant insert, or wall, undergoing flow-induced deformations. The objective is to understand the mechanism that can cause selfexcited oscillations of a fundamental system that underpins a host of both engineered (e.g. flexible-pipes, membrane filters) and biomechanical (e.g. blood flow, airway flow) applications. The computational model is developed using the open-source fluid-structure interaction software oomph-lib that accounts for unsteady laminar flow interacting with large-amplitude deformations of a thin flexible wall. The fluid loading on the compliant wall comprises both pressure and viscous stresses while the wall mechanics includes flexural and tensile forces. The discretised equations for the coupled fluid and structural dynamics are combined to yield a single monolithic matrix differential equation for fluid and wall variables, which is solved through a timestepping procedure. We present a brief summary of validations performed that demonstrate the appropriateness of oomph-lib as a modelling tool for the system. Cases are then presented to contrast the system in stable and unstable conditions and we offer an explanation of the physical causes of non-linear saturated oscillation by examining the nature of wall deformations and their effect on the pressure gradient along the wall. We surmise that instability occurs principally through fluctuating energy transfers between wall and fluid that are driven by separation-point changes over each cycle of oscillation. 2012 Conference Paper http://hdl.handle.net/20.500.11937/19737 http://people.eng.unimelb.edu.au/imarusic/proceedings/18/272%20-%20Lucey.pdf Australasian Fluid Mechanics Society restricted
spellingShingle Lai, L.S.H.
Lucey, Anthony
Elliott, Novak
Computational Stability Analysis of a Channel Flow with a Large Deformation Compliant Insert
title Computational Stability Analysis of a Channel Flow with a Large Deformation Compliant Insert
title_full Computational Stability Analysis of a Channel Flow with a Large Deformation Compliant Insert
title_fullStr Computational Stability Analysis of a Channel Flow with a Large Deformation Compliant Insert
title_full_unstemmed Computational Stability Analysis of a Channel Flow with a Large Deformation Compliant Insert
title_short Computational Stability Analysis of a Channel Flow with a Large Deformation Compliant Insert
title_sort computational stability analysis of a channel flow with a large deformation compliant insert
url http://people.eng.unimelb.edu.au/imarusic/proceedings/18/272%20-%20Lucey.pdf
http://hdl.handle.net/20.500.11937/19737