Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Finite volume simulation of viscoelastic laminar flow in a lid-driven cavity
Date
2009-12-01
Author
Yapici, Kerim
Karasözen, Bülent
Uludağ, Yusuf
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
56
views
0
downloads
Cite This
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
Suggestions
OpenMETU
Core
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...
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 ...
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...
FINITE VOLUME SIMULATION OF 2-D STEADY SQUARE LID DRIVEN CAVITY FLOW AT HIGH REYNOLDS NUMBERS
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...
Pressure-velocity coupling algorithm-based pressure reconstruction from PIV for laminar flows
Gunaydinoglu, Erkan; Kurtuluş, Dilek Funda (Springer Science and Business Media LLC, 2020-01-01)
In this study, we propose a method to reconstruct pressure fields from planar particle image velocimetry measurements for laminar flows by employing semi-implicit method for pressure-linked equations algorithm to solve governing equations where measured velocities are inherently used as boundary conditions. The method starts with interpolating the measured velocity field on a staggered computational grid. The continuity equation, in the form of pressure equation for incompressible flows, is solved with this...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
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.