A fully-coupled three-dimensional fluid-structure interaction study on the externally-pressurized collapsible tube and the internal flow

• Autorzy: Zhang Sen , Liu HaoFei

Identyfikatory

DOI

10.15632/jtam-pl/161686

• Języki publikacji: EN

Abstrakty

EN

We study the behavior of a collapsible tube conveying a fluid subject to external pressure that could occur in many physiological applications. The method of rotating spines is developed to enable an automatic mesh adaptation when the tube is deformed largely. We examine bifurcation diagrams when the tube is collapsed under a pressure driven condition and reveal that multiple solutions exist for a range of the Reynolds number. The stability characteristic of the system is discovered by determining stability of these solutions by the eigenvalue method for the first time, which is validated by solving a time-dependent problem of the system.

Słowa kluczowe

EN

fluid structure interaction; stability; eigenvalue problem; bifurcation

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2023
• Tom: Vol. 61 nr 2
• Strony: 395--406
• Opis fizyczny: Bibliogr. 14 poz., rys., tab.

Twórcy

autor

Zhang Sen

• Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China
• Beijing Internet Based Engineering Co., Ltd, Beijing, China

autor

Liu HaoFei

• Department of Mechanics, Tianjin University, Tianjin, China

Bibliografia

• 1. Bertram C.D., 2003, Experimental Studies of Collapsible Tubes, [In:] Carpenter, P.W., Pedley, T.J. [Eds] Flow Past Highly Compliant Boundaries and in Collapsible Tubes. Fluid Mechanics and Its Applications, 72, 51-65. Springer, Dordrecht.
• 2. Bertram C.D., Truong N.K., Hall S.D., 2008, PIV measurements of the flow field just downstream of an oscillating collapsible tube, Journal of Biomechanical Engineering, 130, 6, 061011.
• 3. Gresho P.M., Lee R.L., Sani R.L., 1980, On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions, Recent Advances in Numerical Methods in Fluids, 35, 4, 205-209.
• 4. Grotberg J.B., Jensen O.E., 2004, Biofluid mechanics in flexible tubes, Annual Review of Fluid Mechanics, 36, 1, 121-147.
• 5. Hao Y.Y., Cai Z.X., Roper S., Luo X.Y., 2016, An Arnoldi-frontal approach for the stability analysis of flows in a collapsible channel, International Journal of Applied Mechanics, 8, 6, 17-29.
• 6. Heil M., Boyle J., 2010, Self-excited oscillations in three-dimensional collapsible tubes: Simulating their onset and large-amplitude oscillations, Journal of Fluid Mechanics, 652, 405-426.
• 7. Heil M., Jensen O.E., 2003, Flows in deformable tubes and channels theoretical models and biological applications, [In:] Carpenter, P.W., Pedley, T.J. [Eds] Flow Past Highly Compliant Boundaries and in Collapsible Tubes. Fluid Mechanics and Its Applications, 72, 15-49. Springer, Dordrecht
• 8. Jensen O.E., Heil M., 2003, High-frequency self-excited oscillations in a collapsible-channel flow, Journal of Fluid Mechanics, 481, 235-268.
• 9. Liu H.F., Luo X.Y., Cai, Z.X., 2012, Stability and energy budget of pressure-driven collapsible channel flows, Journal of Fluid Mechanics, 705, 348-370.
• 10. Luo X.Y., Cai Z.X., Li W.G., Pedley T.J., 2008, The cascade structure of linear instability in collapsible channel flows, Journal of Fluid Mechanics, 600, 45-76.
• 11. Truong N.K., Bertram C.D., 2009, The flow field downstream of a collapsible tube during oscillation onset, International Journal for Numerical Methods in Biomedical Engineering, 25, 5, 405-428.
• 12. Whittaker R.J., Heil M., Jensen O.E., Waters S.L., 2010, Predicting the onset of high-frequency self-excited oscillations in elastic-walled tubes, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 466, 3635-3657.
• 13. Yiasemides D., Argyris A., Mathioulakis D.S., 2017, Transitory and periodic flow in a self-oscillating collapsible tube: Experimental study, Journal of Energy Engineering, 143, 4, 04017001.
• 14. Zhang S., Luo X.Y., Cai Z.X., 2018, Three-dimensional flows in a hyper-elastic vessel under external pressure, Biomechanics and Modeling in Mechanobiology, 17, 1187-1207.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).