Title | ||
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Theoretical And Experimental Reflection Coefficients In Flexible Tubes As A Function Of The Mach Number |
Abstract | ||
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The standard formulation of Wave Intensity Analysis (WIA) assumes that the flow velocity (U) in the conduit is << the velocity of propagation of waves (c) in the system, and Mach number, M-U/c, is negligible. However, in the large conduit arteries, U is relatively high due to ventricular contraction and c is relatively low due to the large compliance; thus M is > 0, and may not be ignored. Therefore, the aim of this study is to identify experimentally the relationship between M and the reflection coefficient in vitro.Combinations of flexible tubes, of 2 m in length with isotropic and uniform circular cross sectional area along their longitudinal axes, were used to present mother and daughter tubes to produce a range of reflection coefficients. An approximately semi-sinusoidal pulse was generated at the inlet of the mother tube using a syringe pump, first in the condition of initial velocity, U-0=0, and when U-0>0 with steady flow to superimpose the pulse.Pressure (P) and Velocity (U) were measured in the mother tube, wave speed was determined using the foot to foot and PU-loops methods. The theoretical reflection coefficient, R-t at M=0, has been compared to the experimental reflection coefficient, R at M>0, which was determined as dP-/dP+ as calculated using WIA.The function R(M) changes significantly with the geometrical and mechanical features of the connected tubes. In our experiments, R increased significantly with small values of M. In the range of M=0-0.02, R increased by 4-36%. Therefore, we conclude that M significantly affects the magnitude of reflections. |
Year | DOI | Venue |
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2018 | 10.22489/CinC.2018.142 | 2018 COMPUTING IN CARDIOLOGY CONFERENCE (CINC) |
Field | DocType | Volume |
Intensity (physics),Isotropy,Velocity factor,Flow (psychology),Mechanics,Cross section (geometry),Flow velocity,Reflection coefficient,Mach number,Physics | Conference | 45 |
ISSN | Citations | PageRank |
2325-8861 | 0 | 0.34 |
References | Authors | |
0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Alessandro Giudici | 1 | 0 | 0.34 |
Wisam S. Hacham | 2 | 0 | 0.34 |
Ashraf Khir | 3 | 0 | 2.37 |