Abstract
Flow classification is a broad field that can be approached in a variety of forms. In the present context, the basic idea is to search for a criterion that enables one to establish rheological material functions in steady and unsteady flows in the Lagrangean sense. This is still an open problem but there is some recent progress on the subject that is worthy of review. In this connection, the idea of persistence of straining has been used to understand and interpret simple flows and complex flow fields. We present a brief history of persistence of straining and the attempts to capture this concept in a rational definition.We also show some other criteria present in the literature to capture an analogous concept involving non-kinematic quantities as primitive for the flow classification. In this last type of criterion, special attention is given to persistence of stressing. New perspectives on anisotropic and history related measurers are also given.
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Thompson, R.L. Flow classification for viscoelastic materials. Int J Adv Eng Sci Appl Math 1, 69–83 (2009). https://doi.org/10.1007/s12572-010-0003-x
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DOI: https://doi.org/10.1007/s12572-010-0003-x