ISSN:
1089-7666
Source:
AIP Digital Archive
Topics:
Physics
Notes:
The changed flow pattern of pulsatile blood flow in an annulus with elastic outer wall has been studied through a mathematical model. The main objective is to apply the model to study the combined effect of introduction of the catheter and elastic properties of the arterial wall on the pulsatile nature of the blood flow. The diameter variation of the wall is considered small for the perturbation analysis to be valid. The steady streaming effect brings into focus the existence of a nonzero mean pressure gradient in addition to the one predicted by the linear theory—a fact overlooked by previous authors. Thus, our results are intended to provide a correction to the "mean pressure gradient–flow rate relationship" usually calculated by neglecting the nonlinear inertia terms. This correction depends on the amplitude of the diameter variation, flow rate wave forms, and the phase difference between them. The calculations based on the geometry and the flow conditions representing a real physiological situation as closely as possible suggest that mean pressure gradient changes with catheter size for any frequency parameter. The results obtained for arbritrary frequency parameter and for small steady streaming Reynolds number, Rst, show that the geometry of the wall plays an important role in the dynamics of the flow even for small catheter radius. The interaction of the amplitude of catheter oscillation and the amplitude of the wall movement is first manifested through the induced mean pressure gradient and induced mean velocity. Further, the results are sensitive to the elastic nature of the wall reflected by the phase difference between the diameter variation and the flow rate. Interesting streamline patterns depict distinct boundary layer characteristics both at artery wall and catheter wall. Depending upon the material properties, a thin catheter experiencing small oscillations due to the flow conditions is likely to have a similar influence to a thicker catheter which remains fairly stationary inside the artery. Finally, the effect of catheterization on various physiologically important flow rate characteristics—mean velocity, mean pressure gradient, wall shear stress—is studied for a range of different catheter sizes and frequency parameters. © 2001 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.1389285
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