@inproceedings{ca20e2598d6443689c1f698a54aedeac,
title = "Numerical modeling of phan-thien - Tanner viscoelastic fluid flow through a square cross-section duct: Heat transfer enhancement due to shear-thinning effects",
abstract = "Non-isothermal laminar flow of a viscoelastic fluid through a square cross-section duct is analyzed. Viscoelastic stresses are described by the Phan-Thien -Tanner model and the solvent shear stress is given by the linear Newtonian constitutive relationship. The solution of the set of governing equations spawns coupling between equations of elliptic-hyperbolic type. Our numerical approach is based on the finite-differences method. To treat the hyperbolic part, the system of equations are rewritten in a quasilinear form. The resulting pure advection terms are discretized using high-order upwind schemes when the hyperbolicity condition is satisfied. The incompressibility condition is obtained by the semi-implicit projection method. Finally we investigate the evolution of velocity, shear stress, viscosity and heat transfer over a wide range of Weissenberg numbers.",
author = "Fouad Hagani and M'Hamed Boutaous and Ronnie Knikker and Shihe Xin and Dennis Siginer",
year = "2018",
doi = "10.1115/IMECE201887568",
language = "English",
series = "ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)",
publisher = "American Society of Mechanical Engineers(ASME)",
booktitle = "Fluids Engineering",
address = "United States",
note = "ASME 2018 International Mechanical Engineering Congress and Exposition, IMECE 2018 ; Conference date: 09-11-2018 Through 15-11-2018",
}