Accession Number : AD0770713

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

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Lodge,A. S. ; Walters,K.

Report Date : OCT 1973

Pagination or Media Count : 22

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)

Descriptors :   *RHEOLOGY, *KINEMATICS, SHEAR PROPERTIES, TENSOR ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS)

Subject Categories : Theoretical Mathematics
      Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE