Viscoelastic Flow in Teardrop-shaped Tubes: Analysis of Transversal Flow
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Subtitle: Viscoelastic Flow in Teardrop-shaped Tubes: Analysis of Transversal Flow
Author list: Siginer, Dennis
Publisher: Elsevier
Publication year: 2017
Journal: Journal of Fluids and Structures (0889-9746)
Issue number: 1
ISSN: 0889-9746
Languages: English-United States (EN-US)
Abstract
We present an analytical study of secondary flows in tubes of teardrop shape for a viscoelastic fluid described by the Phan-Thien-Tanner (PPT) model. The analytical development is based on a one-to-one mapping (shape function) to describe the teardrop contour and the expansion of field variables into asymptotic series in terms of the Weissenberg number Wi. Secondary flows and the temperature field are determined solving the hierarchical set of equations resulting from the asymptotic series expansions.
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