多孔質弾性長方形管内非定常流

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概要

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• The method to analyse the unsteady flow induced by either contraction or expansion of the wall of a porous, elastic vessel whose one end is closed by an elastic membrane and the other end is opened, is proposed.　The elastic motions of the walls can be classified into following typical three types by their directions in action:　(a) to contract or expand to the axial direction of a tube　(b) to contract or expand to the cross-sectional direction of a tube　(c) to contract or expand to the axial direction of a tube and also to the cross-sectional one　The applications of the method to the cases of (a) and (b) are there in this paper.　Introduction of parameters m = >/ν^* and k = k^*L^/ν^* (m^* and k^* : the constants to express the variation of motion in unit time, ν^* : kinematic viscosity, L^* : a reference length) gives to classify the elastic motion of the wall of a tube. The model is selected, here, of the rectangular tube whose cross-section has so large aspect ratio that the tube is to be the plane-parallel channel.　The laminar similar solutions to space and time are obtained exactly, and then velocities, pressures, frictional drags, powers and works in a tube are given analytically.　There exist the critical conditions of injection normal to the walls. The conditions of elastic motions together with the conditions of injection on the walls give the classifications of pumping action by a porous, elastic tube.

• 山形大学の論文
• 1979-02-20

著者

• 大木 守松

  工学部・機械工学科

• 大木 守松

  機械工学科

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