Numerical Analysis of Viscoelastic Fluids in Steady Pressure-Driven Channel Flow

Date

2012-05-01

Author

YAPICI, KERİM
Karasözen, Bülent
Uludağ, Yusuf

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The developing steady flow of Oldroyd-B and Phan-Thien-Tanner (PTT) fluids through a two-dimensional rectangular channel is investigated computationally by means of a finite volume technique incorporating uniform collocated grids. A second-order central difference scheme is employed to handle convective terms in the momentum equation, while viscoelastic stresses are approximated by a third-order accurate quadratic upstream interpolation for convective kinematics (QUICK) scheme. Momentum interpolation method (MIM) is used to evaluate both cell face velocities and coefficients appearing in the stress equations. Coupled mass and momentum conservation equations are then solved through an iterative semi-implicit method for pressure-linked equation (SIMPLE) algorithm. The entry length over which flow becomes fully developed is determined by considering gradients of velocity, normal and shear stress components, and pressure in the axial direction. The effects of the mesh refinement, inlet boundary conditions, constitutive equation parameters, and Reynolds number on the entry length are presented. [DOI: 10.1115/1.4006696]

Subject Keywords

Finite volume method, Collocated grid, Poiseuille flow, Oldroyd-B model, PTT model, Entry length

URI

https://hdl.handle.net/11511/32546

Journal

JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME

DOI

https://doi.org/10.1115/1.4006696

Collections

Graduate School of Applied Mathematics, Article

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Citation Formats

K. YAPICI, B. Karasözen, and Y. Uludağ, “Numerical Analysis of Viscoelastic Fluids in Steady Pressure-Driven Channel Flow,” JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME, pp. 0–0, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32546.