Some Examples of the Use of Body Coordinate Systems in the Kinematics of Continuous Media.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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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
- Theoretical Mathematics
- Fluid Mechanics