Numerical modeling of phan-thien - Tanner viscoelastic fluid flow through a square cross-section duct: Heat transfer enhancement due to shear-thinning effects

Fouad Hagani, M'Hamed Boutaous, Ronnie Knikker, Shihe Xin, Dennis Siginer

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish
Title of host publicationFluids Engineering
PublisherAmerican Society of Mechanical Engineers(ASME)
ISBN (Electronic)9780791852101
DOIs
Publication statusPublished - 2018
EventASME 2018 International Mechanical Engineering Congress and Exposition, IMECE 2018 - Pittsburgh, United States
Duration: Nov 9 2018Nov 15 2018

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume7

Conference

ConferenceASME 2018 International Mechanical Engineering Congress and Exposition, IMECE 2018
CountryUnited States
CityPittsburgh
Period11/9/1811/15/18

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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    Hagani, F., Boutaous, MH., Knikker, R., Xin, S., & Siginer, D. (2018). Numerical modeling of phan-thien - Tanner viscoelastic fluid flow through a square cross-section duct: Heat transfer enhancement due to shear-thinning effects. In Fluids Engineering (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 7). American Society of Mechanical Engineers(ASME). https://doi.org/10.1115/IMECE201887568