Showing papers by "Kenneth Walters published in 1975"

Some examples of the use of body coordinate systems in the kinematics of continuous media

Abstract: A detailed account of the usefulness of a bodytensor formalism in rheology has been given byLodge (1975). Here, we outline some of the more important results concerning shear flows and motions with constant stretch history (M.C.S.H.). We then discuss the relation between M.C.S.H. and the concept of a “perpetual rheological history” (P.R.H.) introduced byOldroyd (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, we use suitably chosennon-orthogonal coordinate systems. New results include (i) a method for deciding whether any given flow is a M.C.S.H. or not, and (ii) a proof that ‘Balance Rheometer Flow’ is not a M.C.S.H.