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Pressure/flow relationships in collapsible tubes: effects of upstream pressure fluctuations

  • Biomechanics
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Abstract

An experimental investigation has been made on the pressure/flow behaviour of a collapsible tube. Of particular interest are the effects of upstream pressure fluctuations on the mean pressure/flow relationships. These mean pressure/flow relationships were found to exhibit features generally similar to the steady-flow situation, including flow limitation where the flow rate becomes independent of the driving pressure during the tube-collapsed phase. However, the tube collapsed under a higher downstream pressure and the maximum flow rate was reduced, when either the frequency or amplitude of the upstream pressure fluctuations was increased.

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Abbreviations

A :

tube cross-section area

c :

wave speed

E :

modulus of elasticity of tube

f :

frequency of oscillating pressure

K p :

tube stiffness factor=Et 3/[12R 30 (1-μ)2]

L :

tube length

n :

tube law index

P :

static pressure in tube

Q :

flow rate

R :

inside radius of collapsible tube

Re :

Reynolds number

S :

speed ratio=u/c

t :

tube wall thickness

Δp :

pressure difference

α:

Womersley number\(R\sqrt {2\pi f/v} \)

ρ:

fluid density

μ:

Poisson ratio of tube material

ν:

fluid kinematic viscosity subscriptmax denotes maximum uantities subscript 1 denotes upstream, 2 denotes downstream subscript 0 denotes condition at zero transmaral pressure subscript denotes fluctuating quantities overbar ′denotes time-averaged values

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Authors and Affiliations

  1. Department of Mechanical & Production Engineering, National University of Singapore, 10 Kent Ridge Crescent, 0511, Singapore

    H. T. Low & Y. T. Chew

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  1. H. T. Low
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  2. Y. T. Chew
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Low, H.T., Chew, Y.T. Pressure/flow relationships in collapsible tubes: effects of upstream pressure fluctuations. Med. Biol. Eng. Comput. 29, 217–221 (1991). https://doi.org/10.1007/BF02447111

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  • DOI: https://doi.org/10.1007/BF02447111

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