Wave Motion in a Thick-Walled Fluid-Filled Hose

Abstract

The subject of this report is the analytical solution for wave motions, in the fundamental mode, of an elastic tube filled with fluid when the wall thickness is not constrained to be small. The results obtained show the existence of two waves which travel at different speeds. Each of the two waves causes both longitudinal and radial displacements of both the tube wall and the fluid, but in different proportions. The slower wave, in the limiting case of the thin-walled tube, is identified as the bulge wave. It is characterized by relatively large motions of the fluid, which contains most of the kinetic energy. Thicker walls produce a higher bulge-wave speed, but the inclusion of longitudinal stiffening elements has very little effect. The faster wave is what has been called the wall wave. This is mostly a longitudinal vibration of the hose material, with a relatively small participation by the fluid, and is greatly influenced by longitudinal reinforcement of the tube wall.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1977
Accession Number
ADA039528

Entities

People

  • Oscar A. Lindemann

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Boundaries
  • Boundary Layer
  • Elastic Materials
  • Equations
  • Kinetic Energy
  • Materials
  • Mathematical Models
  • Mechanical Properties
  • Modulus Of Elasticity
  • New York
  • Reinforcing Materials
  • Stresses
  • Transfer Functions
  • Turbulent Boundary Layer
  • United States
  • Waves

Fields of Study

  • Mathematics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Fluid Dynamics.
  • Mechanical Engineering/Mechanics of Materials.