Recent Advances in Complex Fluids Modeling

• Type: Chapter or Part of a Book
• Date: 2019

Authors

Luís L. Ferrás (Author) Other; Maria L. Morgado (Author) Other; Magda Rebelo (Author) Other; Rosalía T. Leiva (Author) Other; António Castelo (Author) Other; Gareth H. McKinley (Author) Other; Alexandre M. Afonso (Author) FEUP

Book

Title: Fluid Flow Problems

Pages: 7-23

ISBN: 9781789848786

Electronic ISBN: 9781789848793

Indexing

BASE - Bielefeld Academic Search Engine

EBSCO

Associated Projects

MOLDPRO - Aproximações multi-escala para moldação por injeção de materiais plásticos

Other information

Authenticus ID: P-00R-4R0

DOI: 10.5772/intechopen.82689

Abstract (EN): In this chapter, we present a brief description of existing viscoelastic models, starting with the classical differential and integral models, and then focusing our attention on new models that take advantage of the enhanced properties of the Mittag-Leffler function (a generalization of the exponential function). The generalized models considered in this work are the fractional Kaye-Bernstein, Kearsley, Zapas (K-BKZ) integral model and the differential generalized exponential Phan-Thien and Tanner (PTT) model recently proposed by our research group. The integral model makes use of the relaxation function obtained from a step-strain applied to the fractional Maxwell model, and the differential model generalizes the familiar exponential Phan-Thien and Tanner constitutive equation by substituting the exponential function of the trace of the stress tensor by the MittagLeffler function. Since the differential model is based on local operators, it reduces the computational time needed to predict the flow behavior, and, it also allows a simpler description of complex fluids. Therefore, we explore the rheometric properties of this model and its ability (or limitations) in describing complex flows.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 17