Some Examples of the Use of Body Coordinate Systems in the Kinematics of Continuous Media.

Abstract

EFULNESS OF A BODY-TENSOR FORMALISM IN RHEOLOGY HAS BEEN GIVEN BY Lodge (1974). Here, the authors outline some of the more important results concerning shear flows and motions with constant stretch history (MCSH). The authors then discuss the relation between MCSH and the concept of a perpetual rheological history (PRH) introduced by Oldroyd (1965) and conclude that they are equivalent. The body-tensor formalism is applied to specific situations of practical interest, including certain new rheometers and an important class of nearly-viscometric flows. In much of the work, the authors use suitably chosen non-orthogonal coordinate systems. New results include (1) a method for deciding whether any given flow is a MCSH or not, and (2) a proof that 'Balance Rheometer Flow' is not a MCSH. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1973
Accession Number
AD0770713

Entities

People

  • A. S. Lodge
  • K. Walters

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Continuum Mechanics
  • Coordinate Systems
  • Flow
  • Kinematics
  • Mechanics
  • Physics
  • Rheology
  • Rheometers
  • Shear Flow

Readers

  • Fluid Dynamics.
  • Marine Propulsion Engineering and Naval Architecture
  • Systems Analysis and Design