TY - GEN
T1 - Numerical modeling of phan-thien - Tanner viscoelastic fluid flow through a square cross-section duct
T2 - ASME 2018 International Mechanical Engineering Congress and Exposition, IMECE 2018
AU - Hagani, Fouad
AU - Boutaous, M'Hamed
AU - Knikker, Ronnie
AU - Xin, Shihe
AU - Siginer, Dennis
N1 - Publisher Copyright:
Copyright © 2018 ASME.
PY - 2018
Y1 - 2018
N2 - 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.
AB - 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.
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U2 - 10.1115/IMECE2018-87568
DO - 10.1115/IMECE2018-87568
M3 - Conference contribution
AN - SCOPUS:85060398406
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
BT - Fluids Engineering
PB - American Society of Mechanical Engineers(ASME)
Y2 - 9 November 2018 through 15 November 2018
ER -