The natural -conformation tensor constitutive laws

• Type: Article in International Scientific Journal
• Date: 2025

Authors

Afonso, AM (Author) FEUP; Evans, JD (Author) Other; Palhares Junior, IL (Author) Other

Journal

Title: Physics of Fluids

Vol. 37

ISSN: 1070-6631

Publisher: American Institute of Physics

Other information

Authenticus ID: P-01A-F4A

DOI: 10.1063/5.0284330

Abstract (EN): <jats:p>In this work, we revisit the seminal work of Renardy [M. Renardy, J. Non-Newtonian Fluid Mech. 52(1), 91¿95 (1994)] on the reformulation of the stress tensor in its ¿natural¿ basis and present a generic framework for the natural-conformation tensor for a large class of differential constitutive models. We show that the proposed dyadic transformation can be equated as an orthogonal transformation of the conformation tensor into a streamlined orthonormal basis given by a rotation tensor expressed in terms of the unit velocity vectors. We also show that the natural-conformation tensor formulation is a particular sub-case of the kernel-conformation tensor transformation [A. M. Afonso, F. T. Pinho, M. A. Alves, J. Non-Newtonian Fluid Mech. 167¿168, 30¿37 (2012)] with the kernel function acting on the rotation of the eigenvectors rather than on the magnitude of the extension of the conformation tensor.</jats:p>

Language: English

Type (Professor's evaluation): Scientific