Filling of a thin-walled, highly compliant tube in a partially collapsed condition is studied. The theory, based on one-dimensional flow, takes account of friction, longitudinal tension, and the highly nonlinear pressure-area law for the tube. Various aspects of filling behavior are revealed by alternative calculations using: (i) the method of characteristics; (ii) numerical integration of the continuity, momentum, and tube-law equations; and (iii) a crude but simple lumped-element capacitance-inertance-resistance model. Varied phenomena appear. At high Reynolds number, these include dispersive wave trains associated with circumferential bending stiffness and longitudinal tension, nonlinear changes of wave form, development of highly asymmetrical wave reflections, and sloshing. At low Reynolds number, the area changes with time in a diffusivelike manner. The experiments exhibited the dispersive phenomena predicted by the theory.
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February 1983
Research Papers
Filling of Partially Collapsed Compliant Tubes
D. L. Jan,
D. L. Jan
Fluid Mechanics Laboratory, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Mass 02139
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R. D. Kamm,
R. D. Kamm
Fluid Mechanics Laboratory, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Mass 02139
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A. H. Shapiro
A. H. Shapiro
Fluid Mechanics Laboratory, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Mass 02139
Search for other works by this author on:
D. L. Jan
Fluid Mechanics Laboratory, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Mass 02139
R. D. Kamm
Fluid Mechanics Laboratory, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Mass 02139
A. H. Shapiro
Fluid Mechanics Laboratory, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Mass 02139
J Biomech Eng. Feb 1983, 105(1): 12-19 (8 pages)
Published Online: February 1, 1983
Article history
Received:
February 24, 1982
Revised:
July 28, 1982
Online:
June 15, 2009
Citation
Jan, D. L., Kamm, R. D., and Shapiro, A. H. (February 1, 1983). "Filling of Partially Collapsed Compliant Tubes." ASME. J Biomech Eng. February 1983; 105(1): 12–19. https://doi.org/10.1115/1.3138377
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