Skip to main content
×
Home
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 42
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Païdoussis, Michael P. 2016. Fluid-Structure Interactions.


    2016. Fluid-Structure Interactions.


    PEDLEY, T J and PIHLER-PUZOVIĆ, D 2015. Flow and oscillations in collapsible tubes: Physiological applications and low-dimensional models. Sadhana, Vol. 40, Issue. 3, p. 891.


    Tang, Chao Zhu, Luoding Akingba, George and Lu, Xi-Yun 2015. Viscous flow past a collapsible channel as a model for self-excited oscillation of blood vessels. Journal of Biomechanics, Vol. 48, Issue. 10, p. 1922.


    Pihler-Puzovi , D. and Pedley, T. J. 2014. Flutter in a quasi-one-dimensional model of a collapsible channel. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 470, Issue. 2166, p. 20140015.


    Zhu, Y. Luo, X.Y. Wang, H.M. Ogden, R.W. and Berry, C. 2013. Three-dimensional non-linear buckling of thick-walled elastic tubes under pressure. International Journal of Non-Linear Mechanics, Vol. 48, p. 1.


    Flaud, P. Guesdon, P. and Fullana, J.-M. 2012. Experiments of draining and filling processes in a collapsible tube at high external pressure. The European Physical Journal Applied Physics, Vol. 57, Issue. 3, p. 31101.


    Heil, Matthias and Hazel, Andrew L. 2011. Fluid-Structure Interaction in Internal Physiological Flows. Annual Review of Fluid Mechanics, Vol. 43, Issue. 1, p. 141.


    Rasani, M. R. Inthavong, K. and Tu, J. Y. 2011. Simulation of Pharyngeal Airway Interaction with Air Flow Using Low-Re Turbulence Model. Modelling and Simulation in Engineering, Vol. 2011, p. 1.


    HEIL, MATTHIAS and BOYLE, JONATHAN 2010. Self-excited oscillations in three-dimensional collapsible tubes: simulating their onset and large-amplitude oscillations. Journal of Fluid Mechanics, Vol. 652, p. 405.


    Mandre, S. and Mahadevan, L. 2010. A generalized theory of viscous and inviscid flutter. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 466, Issue. 2113, p. 141.


    Stewart, Peter S. Waters, Sarah L. and Jensen, Oliver E. 2010. Local instabilities of flow in a flexible channel: Asymmetric flutter driven by a weak critical layer. Physics of Fluids, Vol. 22, Issue. 3, p. 031902.


    Ben-Mansour, R. Habib, M.A. and Qaiyum Shaik, A. 2009. Modeling of fluid flow in a tube with a moving indentation. Computers & Fluids, Vol. 38, Issue. 4, p. 818.


    Linninger, Andreas A. Xenos, Michalis Sweetman, Brian Ponkshe, Sukruti Guo, Xiaodong and Penn, Richard 2009. A mathematical model of blood, cerebrospinal fluid and brain dynamics. Journal of Mathematical Biology, Vol. 59, Issue. 6, p. 729.


    Liu, H. F. Luo, X. Y. Cai, Z. X. and Pedley, T. J. 2009. Sensitivity of unsteady collapsible channel flows to modelling assumptions. Communications in Numerical Methods in Engineering, Vol. 25, Issue. 5, p. 483.


    Stewart, Peter S. Waters, Sarah L. and Jensen, Oliver E. 2009. Local and global instabilities of flow in a flexible-walled channel. European Journal of Mechanics - B/Fluids, Vol. 28, Issue. 4, p. 541.


    Tetlow, G. A. and Lucey, A. D. 2009. Motions of a cantilevered flexible plate in viscous channel flow driven by a constant pressure drop. Communications in Numerical Methods in Engineering, Vol. 25, Issue. 5, p. 463.


    Wang, J. W. Chew, Y. T. and Low, H. T. 2009. Effects of downstream system on self-excited oscillations in collapsible tubes. Communications in Numerical Methods in Engineering, Vol. 25, Issue. 5, p. 429.


    Yokoyama, M. and Mochizuki, O. 2009. Deformation of a fluid-filled compliant cylinder in a uniform flow. Journal of Fluids and Structures, Vol. 25, Issue. 6, p. 1049.


    Bertram, Christopher D. 2008. Flow-induced oscillation of collapsed tubes and airway structures. Respiratory Physiology & Neurobiology, Vol. 163, Issue. 1-3, p. 256.


    ×
  • Journal of Fluid Mechanics, Volume 363
  • May 1998, pp. 253-280

The effects of wall inertia on flow in a two-dimensional collapsible channel

  • X. Y. LUO (a1) and T. J. PEDLEY (a2)
  • DOI: http://dx.doi.org/10.1017/S0022112098001062
  • Published online: 01 May 1998
Abstract

The effect of wall inertia on the self-excited oscillations in a collapsible channel flow is investigated by solving the full coupled two-dimensional membrane–flow equations. This is the continuation of a previous study in which self-excited oscillations were predicted in an asymmetric channel with a tensioned massless elastic membrane (Luo & Pedley 1996). It is found that a different type of self-excited oscillation, a form of flutter, is superposed on the original large-amplitude, low-frequency oscillations. Unlike the tension-induced oscillations, the flutter has high frequency, and grows with time from a small amplitude until it dominates the original slower mode. The critical value of tension below which oscillations arise (at fixed Reynolds number) is found to increase as the wall inertia is increased. The rate at which energy is (a) dissipated in the flow field and (b) transferred to the wall during the flutter is discussed, and results at different parameter values are compared with those of a massless membrane. There is also a discussion of whether the onset of flutter, or that of the slower oscillations, is correlated with the appearance of flow limitation, as is thought to be the case in the context of wheezing during forced expiration of air from the lungs.

Copyright
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax