FURTHER REMARKS ON THE STABILITY OF PLANE POISEUILLE FLOW BETWEEN FLEXIBLE WALLS

Abstract

The principles of plane Poiseuille flow are applied to problems involving 2 classes of flexible walls. The first class consists of those with tension only. The shape of these curves are deduced from those of the previous report and are verified by numerical calculation. It is found that reduction in tension from the infinite value associated with a rigid wall results in the closing and shrinking of the neutral stability curves. Below a certain critical value of tension when the region of instability is a point, the flow is completely stabilized. The second class deals with walls with the same tension, but different values of damping. The critical Reynolds number is increased about seventeen percent as damping is added to the wall. An optimum condition is reached beyond which added damping reduces the critical Reynolds number. The effect of damping may be different for walls with other values of tension. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1961
Accession Number
AD0271607

Entities

People

  • F.d. Hains
  • J.f. Price

Organizations

  • Boeing

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Instability
  • Poiseuille Flow
  • Reynolds Number

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Mechanical Engineering/Mechanics of Materials.