Abstract
An experimental investigation has been made into the pressure/flow behaviour of a collapsible tube subjected to downstream pressure fluctuations. These downstream pressure waves are observed to be transmitted upstream beyond the point of collapse. The mean flow rate is not significantly affected by the amplitude or frequency of pressure fluctuations. However, the oscillatory flow amplitude is reduced at the higher frequency. The mean flow rate also remains independent of the mean driving pressure.
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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−μ2)]
- 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
- T :
-
time
- Z :
-
characteristic impedance, ϱc 0/A0
- α:
-
Womersley number,R√2πf/v
- ϱ:
-
fluid density
- μ:
-
Poisson ratio of tube material
- ν:
-
fluid kinematic viscosity
- 1:
-
upstream
- 2:
-
downstream
- e :
-
external
- 0:
-
condition at zero transmural pressure
- t :
-
ampl/itude
- −:
-
time-averaged values
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Low, H.T., Chew, Y.T., Winoto, S.H. et al. Pressure/flow behaviour in collapsible tube subjected to forced downstream pressure fluctuations. Med. Biol. Eng. Comput. 33, 545–550 (1995). https://doi.org/10.1007/BF02522512
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DOI: https://doi.org/10.1007/BF02522512