A one dimensional model to predict steady flow through a collapsible tube

S. A. Unhale, G. Marino, S. Parameswaran

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1 Scopus citations


Flow through tubes that can collapse during normal operation characterizes virtually every bodily fluid-carrying vessel. A MATLAB program was developed to solve a one-dimensional numerical model for steady state collapsible tube flow. The numerical results were then compared with experimental findings of Bertram [10]. The model included a novel polynomial-defined relationship between the Reynolds number and skin friction coefficient. The results are in strong agreement with experiment (r 0.95). Further correlation analysis showed significance at the 0.025 level [r(14) = 0.986; r(17) = 0.975; r(15) = 0.990; r(15) = 0.956; r(19) = 0.943; p ≪ 0.001].An average error of less than ten percent existed between computations and experiment.

Original languageEnglish
Pages (from-to)95-103
Number of pages9
JournalInternational Journal of Computational Methods in Engineering Science and Mechanics
Issue number2
StatePublished - 2005


  • Arterial flow
  • CFD
  • Compliant tubes
  • Flow structure interaction
  • Hemodynamics


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