THE DISPERSION AND DISSIPATION OF WAVES IN BLOOD VESSELS,

Abstract

Dispersion and dissipation phenomena associated with waves propagating in blood vessels are potential measures of the distensibility of the vessels and other cardiovascular parameters. In this investigation we assume the vessels to behave like thin-walled circular cylindrical shells filled with an inviscid compressible fluid. The vessel wall is assumed to have isotropic and homogeneous viscoelastic properties. The waves are described by small three-dimensional displacements of the middle surface of the shell from an equilibrium configuration defined by a mean transmural pressure and an initial axial strain. The fluid motion associated with the waves is considered as irrotational. The linearized differential equations of motion are based on the shell equations derived by Flugge. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1967
Accession Number
AD0659787

Entities

People

  • James A. Maxwell
  • Max Anliker

Organizations

  • Stanford University

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Anatomy
  • Biological Sciences
  • Blood
  • Blood Vessels
  • Differential Equations
  • Dispersions
  • Displacement
  • Dissipation
  • Equations
  • Equations Of Motion
  • Mathematics
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Structural Dynamics.