Toward a Constitutive Equation for Blood.

Abstract

Closure of the conservation equations of fluid mechanics requires a constitutive equation. Viscometric measurements are not sufficient to uniquely determine such an equation. This study was undertaken to determine a constitutive equation for blood by the comparison of theoretical and experimental results for the problem of the stability of circular Couette flow. Based on the literature, a four constant Oldroyd model equation was chosen as a constitutive candidate for blood. Theoretical examination of the model in simple flow situations showed that it was capable of qualitatively predicting many of the observed characteristics of blood. Comparison of theory and experiment showed that the Oldroyd model was insufficient to characterize the rheological behavior of blood. The failure of the equation was most likely due to the oversimplicity of the linear model from which it was derived.

Document Details

Document Type
Technical Report
Publication Date
Jun 17, 1975
Accession Number
ADA016793

Entities

People

  • Steven Deutsch

Organizations

  • Pennsylvania State University

Tags

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Constitutive Equations
  • Couette Flow
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Literature
  • Measurement
  • Mechanics
  • Physics

Readers

  • Computational Modeling and Simulation
  • Fluid Dynamics.