A Stokes Flow Boundary Integral Measurement of Tubular Structure Cross Sections in Two Dimensions

Abstract

In this paper we will develop a method to determine cross sections of arbitrary two-dimensional tubular structures, which are allowed to branch, by means of a Stokes flow based boundary integral formulation. The measure for the cross sections for a point on the boundary of a given structure will be the path obtained by integrating perpendicularly to the flow lines from one side of the boundary to the other. Special emphasis will be put on the behavior at branching points, the behavior at vortices, and the necessary boundary conditions. The method can be extended to three dimensional problems.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2003
Accession Number
ADA465700

Entities

People

  • Allen Tannenbaum
  • Eric Pichon
  • Marc Niethammer
  • Peter J. Mucha

Organizations

  • Georgia Tech

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Abstracts
  • Alzheimer Disease
  • Boundaries
  • Computational Science
  • Computer Graphics
  • Equations
  • Flow
  • Flow Fields
  • Fluid Flow
  • Image Processing
  • Integral Equations
  • Integrals
  • Mathematics
  • Measurement
  • Three Dimensional
  • Tubular Structures
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Structural Dynamics.