Controllability of Non-Newtonian Fluids under Homogeneous Extensional Flow

Abstract

In the discipline of non-Newtonian materials, the ability to control viscoelastic stresses is very desirable in ascertaining important properties of the influenced materials. We apply the nonlinear geometric control theory to examine the controllability of various popular constitutive models with imposed homogeneous extensional flow. The subsequent constitutive laws considered here include the Phan-Thien-Tanner model, the Johnson-Segalman model, the Giesekus model and the Doi model. This paper provides the first analysis on the effect of extensional flow on these models.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2008
Accession Number
ADA488474

Entities

People

  • Hong Zhou
  • Lynda Wilson
  • Wei Kang

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Applied Mathematics
  • Constitutive Equations
  • Control Systems
  • Differential Equations
  • Equations
  • Films
  • Flow
  • Liquid Crystal Displays
  • Liquid Crystal Polymers
  • Liquid Crystals
  • Materials
  • Mathematics
  • Molecules
  • Orientation (Direction)
  • Phase Transformations
  • Polymers
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Dynamics.
  • Structural Health Monitoring of Composite Structures.