Abstract
Propagation of isolated pressure wave through a thin-walled collapsible tube filled with a viscous incompressible fluid is calculated numerically. One-dimensional continuity equation, equation of motion including a wall friction term, and the tube law obtained experimentally are used as basic equations. The pressure waveforms at three locations along the collapsible tube calculated by the present method are compared with those obtained by the experiment. It is shown that the tube law obtained experimentally needs to be modified such that slope is discontinuous at a point where locally two-dimensional buckling of the collapsible tube occurs. The viscous effect is evaluated using an equivalent Womersley number α for the isolated wave. Incorporation of the wall friction term with high accuracy is necessary in the case of small α in one-dimensional flow calculation. The propagation velocity can be approximately calculated using the Moens-Korteweg velocity corresponding to a tube with circular cross-section.
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