Homogeneous Flow Field Effect on the Control of Maxwell Materials

Abstract

The controllability of viscoelastic fields is a fundamental concept that defines some essential capabilities and limitations of the resulting materials. In this paper, we study the controllability of different homogeneous flow fields of viscoelastic fluids governed by the upper convected Maxwell model. The approach is largely based on the nonlinear geometric control theory. Through the analysis of the control Lie algebra, we find the submanifolds in the state space on which the homogeneous flow fields are weakly controllable. Our approach can be generalized to more complicated systems.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2008
Accession Number
ADA576174

Entities

People

  • Arthur J. Krener
  • Hong Zhou
  • Hongyun Wang
  • Wei Kang

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algebra
  • Applied Mathematics
  • Constitutive Equations
  • Control Systems
  • Control Theory
  • Engineering
  • Equations
  • Flow
  • Flow Fields
  • Materials
  • Mathematics
  • Modulus Of Elasticity
  • Shear Flow
  • Shear Stresses
  • Three Dimensional
  • Two Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.
  • Linear Algebra

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers