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Numerical Study on Fluid Flow Through Collapsible Channels

  • Vedant Dhruv
  • Ujwal Mishra
  • Ranjith ManiyeriEmail author
Conference paper
  • 19 Downloads
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 308)

Abstract

The fluid flow in collapsible channels or tubes is an interesting problem with several physiological applications; for example, blood flow in veins, air flow in lungs and wheezing. In this paper, we present a fluid-structure interaction based model for single-phase fluid flow through a microchannel containing two elastic walls. A two-dimensional model is developed and simulations have been performed using a commercial software. The deforming geometry is analyzed using moving mesh. The flow field and deformation of the elastic walls for different boundary loads and inlet flow conditions are presented and discussed.

Keywords

Collapsible channel Fluid-structure interaction Boundary load Microchannel 

References

  1. 1.
    Luo, X.Y., Pedley, T.J.: Modelling flow and oscillation in collapsible tubes. Theoret. Comput. Fluid Dyn. 10, 277–294 (1998)CrossRefGoogle Scholar
  2. 2.
    Rosar, M.E., Peskin, C.S.: Fluid flow in collapsible elastic tubes: a three-dimensional numerical model. New York J. Math. 7, 281–302 (2001)MathSciNetzbMATHGoogle Scholar
  3. 3.
    Cai, Z.X., Luo, X.Y.: A fluid–beam model for flow in a collapsible channel. J. Fluids Struct. 17(1), 125–146 (2003)CrossRefGoogle Scholar
  4. 4.
    Jensen, O.E., Heil, M.: High-frequency self-excited oscillations in a collapsible-channel flow. J. Fluid Mech. 481, 235–268 (2003)MathSciNetCrossRefGoogle Scholar
  5. 5.
    Pihler-Puzović, D., Pedley, T.J.: Stability of high-Reynolds-number flow in a collapsible channel. J. Fluid Mech. 714, 536–561 (2013)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Tuema E.V., Ilegbusi O.: Unsteady integrodifferential equation of fluid-structure interaction in constricted collapsible tube model of diseased human coronary artery. Int. J. Differ. Equ. 1–21 (2012)MathSciNetCrossRefGoogle Scholar
  7. 7.
    Zhu, J., Wang, X.: A study of steady and unsteady flow in a collapsible channel. In Computational Fluid and Solid Mechanics, pp. 1597–1600 (2003)CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringNational Institute of TechnologySurathkal, MangaloreIndia

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