Unsteady Flow in a Porous, Elastic, Circular Tube : Part 3. The Tube Contracting or Expanding in Axial and Radial Directions

抄録

Linear theory for unsteady flow of a viscous, incompressible fluid through a semi-infinite circular tube with porous, elastic wall whose radius together with its length contracts or expands elastically, is considered together with the effects of injection into the wall.Laminar similar solutions with respect to space and time are obtained. Velocities, frictional drags, power and work of fluid are analyzed. There are three critical conditions of injection into the wall. The conditions of injection together with the conditions of motion of the tube either contracting or expanding, diversify the induced flow fields.