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

Date

2009-12-01

Author

Yapici, Kerim
Karasözen, Bülent
Uludağ, Yusuf

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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.

Subject Keywords

Collocated grid, Finite volume, Oldroyd-B fluid, Lid-driven cavity

URI

https://hdl.handle.net/11511/30689

Journal

JOURNAL OF NON-NEWTONIAN FLUID MECHANICS

DOI

https://doi.org/10.1016/j.jnnfm.2009.08.004

Collections

Graduate School of Applied Mathematics, Article

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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: https://hdl.handle.net/11511/30689.