MICROPOLAR FLUIDS WITH STRETCH.

Abstract

Equations of motion, constitutive equations, and boundary conditions are derived for a class of micropolar fluids which can stretch or contract. These fluids respond to intrinsic rotational motions and spin inertia and therefore can support couple stress and body couples. In addition, microelements of such fluids can stretch or contract so that intrinsic extensional motions are possible. It is conjectured that the model constructed will have applications in liquid crystals, fluids with polymeric additives, and turbulent motions of Newtonian fluids. Thermodynamical restrictions are studied in detail, and field equations are obtained for the density, microinertia, velocity vector, microrotation vector, and the microstretch. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1968
Accession Number
AD0671881

Entities

People

  • Ahmed Cemal Eringen

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Boundaries
  • Constitutive Equations
  • Contracts
  • Crystals
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Liquid Crystals
  • Mathematics
  • Partial Differential Equations

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Electrochemical Surface Science
  • Materials Science and Engineering.