Calculation of kinematic histories in two- and three-dimensional flows using streamline coordinate functions

✍ Scribed by Jean-Robert Clermont

• Publisher: Springer-Verlag
• Year: 1993
• Tongue: English
• Weight: 944 KB
• Volume: 32
• Category: Article
• ISSN: 0035-4511
• DOI: 10.1007/bf00396680

✦ Synopsis

In this paper, the theoretical elements of the stream-tube method are considered for the evaluation of strain-rate and strain histories required for the descriptions of memory-integral equations. One interest of the stream-tube analysis lies in the fact that the computation is performed in a transformed domain of the physical domain where the mapped streamlines are parallel and straight. Unknown mapping functions are used for analytic expressions of tensor components, for two-and three-dimensional flow situations. Calculations in three-dimensional flows for corotational models indicate that the relevant analytic expressions deduced from corotating frame determination are too complicated to be realistic for computation, but are exploitable for two-dimensional flow simulations. Strain histories are presented for two-and three-dimensional flows and may be applied to evaluation of stresses in both cases, when using codeformational constitutive equations.