Finite volume simulation of viscoelastic laminar flow in a lid-driven cavity

A finite volume technique is presented for the numerical solution of steady laminar flow of Oldroyd-B fluid in a lid-driven square cavity over a wide range of Reynolds and Weissenberg numbers. Second order central difference (CD) scheme is used for the convection part of the momentum equation while first order upwind approximation is employed to handle viscoelastic stresses. A non-uniform collocated grid system is used. Momentum interpolation method (MIM) is used to evaluate face velocity. Coupled mass and momentum conservation equations are solved through iterative SIMPLE (serni-implicit method for pressure-linked equation) algorithm. Detailed investigation of the flow field is carried out in terms of velocity and stress fields. Differences between the behavior of Newtonian and viscoelastic fluids, such as the normal stress effects and secondary eddy formations, are highlighted.


Computational analysis of hydrodynamics of shear-thinning viscoelastic fluids in a square lid-driven cavity flow
YAPICI, KERİM; Uludağ, Yusuf (2013-11-01)
Computational results for steady laminar flow of three different shear thinning fluids lid-driven square cavity are presented. The viscoelastic nature of the fluids is represented by linear and exponential Phan-Thien Tanner (PTT) and Giesekus constitutive models. Computations are based on finite volume technique incorporating non-uniform collocated grids. The stress terms in the constitutive equations are approximated by higher-order and bounded scheme of Convergent and Universally Bounded Interpolation Sch...
Numerical Analysis of Viscoelastic Fluids in Steady Pressure-Driven Channel Flow
YAPICI, KERİM; Karasözen, Bülent; Uludağ, Yusuf (2012-05-01)
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...
Stress behavioursof viscoelastic flowaround square cylinder
Tezel Tanrısever, Güler Bengüsu; Yapıcı, Kerim; Uludağ, Yusuf (2019-06-01)
In this study, it is aimed the numerically investigation of the flow of liner PTT (Phan-Thien-Tanner) fluid, which is a viscoelastic fluid model over limited square obstacle by finite volume method. The finite volume method has been used for simultaneous solution of continuity, momentum and fluid model equations with appropriate boundary conditions. The effects of the inertia in terms of Reynolds number, Re, (0 < Re < 20) and the of elasticity in terms of Weissenberg number, We, (1 < We < 15) of PTT flow ...
YAPICI, KERİM; Uludağ, Yusuf (FapUNIFESP (SciELO), 2013-10-01)
In this work, computer simulation results of steady incompressible flow in a 2-D square lid-driven cavity up to Reynolds number (Re) 65000 are presented and compared with those of earlier studies. The governing flow equations are solved by using the finite volume approach. Quadratic upstream interpolation for convective kinematics (QUICK) is used for the approximation of the convective terms in the flow equations. In the implementation of QUICK, the deferred correction technique is adopted. A non-uniform st...
Flow Characterization of Viscoelastic Fluids around Square Obstacle
Tezel, Guler Bengusu; YAPICI, Kerim; Uludağ, Yusuf (Periodica Polytechnica Budapest University of Technology and Economics, 2019-01-01)
This study focuses on the computational implementation of structured non-uniform finite volume method for the 2-D laminar flow of viscoelastic fluid past a square section of cylinder in a confined channel with a blockage ratio 1/4 for Re = 10(-)(4), 5, 10 and 20. Oldroyd-B model (constant viscosity with elasticity) and the PTT model (shear-thinning with elasticity) are the constitutive models considered. In this study effects of the elasticity and inertia on the drag coefficients and stress fields around th...
Citation Formats
K. Yapici, B. Karasözen, and Y. Uludağ, “Finite volume simulation of viscoelastic laminar flow in a lid-driven cavity,” JOURNAL OF NON-NEWTONIAN FLUID MECHANICS, pp. 51–65, 2009, Accessed: 00, 2020. [Online]. Available: