Controllability of Non-Newtonian Fluids Under Homogeneous Flows

Abstract

The ability to control a viscoelastic field is an essential concept that defines some important restrictions and potentials of the influenced material. This thesis investigates the controllability of three popular constitutive models under homogeneous extensional and shear flows via the Lie bracket method. The constitutive models are as follows: the Phan-Thien-Tanner model; the Johnson-Segalman model; and the Doi model. The effect of extensional flow on these models and the effect of shear flow on the Doi model have not been explored previous to this work. The main contribution of this thesis is to characterize the submanifolds in the state space on which the non-Newtonian flow fields are weakly controllable. This kind of approach based on the control Lie algebra can be applied to a wider variety of complex models.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2007
Accession Number
ADA474382

Entities

People

  • Lynda M. Wilson

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Sensors

DTIC Thesaurus Topics

  • Air Force
  • Computational Fluid Dynamics
  • Constitutive Equations
  • Control Systems
  • Engineering
  • Equations
  • Equations Of State
  • Flow
  • Flow Fields
  • Fluid Flow
  • Fluid Mechanics
  • Materials
  • Mechanics
  • Modulus Of Elasticity
  • Orientation (Direction)
  • Polymers
  • Shear Flow

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Fluid Dynamics.
  • Mechanical Engineering/Mechanics of Materials.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers