Viscous flow through corrugated tube by boundary element method

  • N. Phan-Thien
  • C. J. Goh
  • M. B. Bush
Brief Reports


The creeping flow of a Newtonian fluid through a sinusoidally-corrugated tube is solved by the Boundary Element Method. Agreement with another numerical method is noted. In addition, it is shown that previous perturbation theory is valid only when the corrugation amplitude is small (<0.3a) and the wavelength of the corrugation is large (>3πa), wherea is the mean radius of the tube.


Perturbation Theory Mathematical Method Boundary Element Boundary Element Method Newtonian Fluid 
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Das Problem der schleichenden Bewegung eines Newton'schen Fluids durch ein Rohr mit sinusförmig gewellter Wand wird mit Hilfe der “Boundary Element”-Methode gelöst. Übereinstimmung mit einer anderen numerischen Methode wird festestellt. Zudem wird gezeigt, daß eine früher gefundene Störungstheorie nur gültig ist wenn die Wellenamplitude klein (<0.3a) und die Wellenlänge groß (>3πa) ist (a=mittlerer Rohrradius).


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Copyright information

© Birkhäuser Verlag 1985

Authors and Affiliations

  • N. Phan-Thien
    • 1
  • C. J. Goh
    • 1
  • M. B. Bush
    • 1
  1. 1.Mechanical Engineering Dept.Sydney UniversitySydneyAustralia

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