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.

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Fundamental Issues And Canonical Flows

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

Kerim Yapici

,
Kerim Yapici

Department of Chemical Engineering,

kyapici@cumhuriyet.edu.tr
Cumhuriyet University

, 58140 Sivas, Turkey

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Bulent Karasozen

,
Bulent Karasozen

Department of Mathematics and Institute of Applied Mathematics,

Middle East Technical University

, 06531 Ankara, Turkey

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Yusuf Uludag

Yusuf Uludag

Department of Chemical Engineering,

Middle East Technical University

, 06531 Ankara, Turkey

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Kerim Yapici

Department of Chemical Engineering,

Cumhuriyet University

, 58140 Sivas, Turkey

kyapici@cumhuriyet.edu.tr

Bulent Karasozen

Middle East Technical University

, 06531 Ankara, Turkey

Yusuf Uludag

Department of Chemical Engineering,

Middle East Technical University

, 06531 Ankara, Turkey

*J. Fluids Eng*. May 2012, 134(5): 051206 (9 pages)

**Published Online:**May 22, 2012

Article history

Received:

June 22, 2011

Revised:

March 22, 2012

Published:

May 18, 2012

Online:

May 22, 2012

Citation

Yapici, K., Karasozen, B., and Uludag, Y. (May 22, 2012). "Numerical Analysis of Viscoelastic Fluids in Steady Pressure-Driven Channel Flow." ASME. *J. Fluids Eng*. May 2012; 134(5): 051206. https://doi.org/10.1115/1.4006696

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