Unsteady Flow in a Porous, Elastic, Circular Tube : Part 2. The Tube Contracting or Expanding in Radial Directions

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概要

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• A linear theory for unsteady flow of a viscous, incompressible fluid in a semi-infinite circular tube with a porous, elastic wall is developed. The tube radially contracts or expands keeping its axial length constant. The fluid is assumed to pass through the porous wall under a certain defined condition of injection. Laminar similar solutions with respect to space and time are obtained. Velocities, pressures, frictional drags, powers and works of fluid are analyzed. A rapid contracting motion of a tube results in separating the flow into a core region and the boundary layer, while a rapid expanding motion brings about a remarkable compensating flow in the center of the tube. The conditions of elastic motions together with the conditions of injection give a classification of pumping action of a porous, elastic tube.

• 一般社団法人日本機械学会の論文

著者

• Ohki Morimatsu

  Department Of Mechanical Engineering Faculty Of Engineering Yamagata University

関連論文

• Unsteady Flow in a Porous, Elastic, Circular Tube : Part 3. The Tube Contracting or Expanding in Axial and Radial Directions
• Unsteady Flow in a Porous, Elastic, Circular Tube : Part 2. The Tube Contracting or Expanding in Radial Directions
• Unsteady Flow in a Porous, Elastic Circular Tube : Part 1, The Wall Contracting or Expanding in an Axial Direction

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