A finite volume approach in the simulation of viscoelastic expansion flows

Journal of Non-Newtonian Fluid Mechanics

Volumn 78, Issue 2-3, 1998, Pages 91-118

  Missirlis, K A ^a   Assimacopoulos, D ^a   Mitsoulis, E ^b  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW; MATHEMATICAL MODEL; SIMULATION;

ALGORITHMS; BOUNDARY CONDITIONS; COMPUTER SIMULATION; FINITE VOLUME METHOD; MATHEMATICAL MODELS; NON NEWTONIAN FLOW; PROBLEM SOLVING; STRESS ANALYSIS; STRESS RELAXATION; VELOCITY; VISCOELASTICITY;

DEBORAH NUMBER; NON STAGGERED GRID; UPPER CONVECTED MAXWELL CONSTITUTIVE EQUATION; UPWIND SCHEME; VISCOELASTIC EXPANSION FLOW;

COMPUTATIONAL FLUID DYNAMICS;

FINITE VOLUME TECHNIQUE; FLUID FLOW; VISCOELASTIC FLUID;

FINITE VOLUME METHOD; FLUID FLOW; VISCOELASTIC FLOW;

EID: 0032142924     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(98)00057-3     Document Type: Article

References (32)

1. R. Keunings, Simulation of viscoelastic fluid flow, in: C.L. Tucker III (Ed.), Fundamentals of Computer Modelling for Polymer Processing, Carl Hanser Verlag, New York, 1989, pp. 403-469.
2. E. Mitsoulis, Numerical simulation of viscoelastic fluids, in: N.P. Cheremisinoff (Ed.), Encyclopedia of Fluid Mechanics, vol. 9, Polymer Flow Engineering, Gulf Publishing Company, Dallas, Texas, USA, 1990, pp. 649-704.
3. Tanner R.I. From A to (BK)Z in constitutive equations. J. Rheol. 32:1988;673-702.
4. Baaijens H.P.W., Peters G.W.M., Baaijens F.P.T., Meijer H.E.H. Viscoelastic flow past a confined cylinder of a polyisobutylene solution. J. Rheol. 39:1995;1243-1277.
5. Barakos G., Mitsoulis E. Numerical simulation of viscoelastic flow around a cylinder using an integral constitutive equation. J. Rheol. 39:1995;1279-1292.
6. Crochet M.J., Pilate G. Plane flow of a fluid of second grade through a contraction. J. Non-Newton. Fluid Mech. 1:1976;247-258.
7. Perera M.G.N., Walters K. Long-range memory effects in flows involving abrupt changes in geometry. Part I. Flows associated with L-shaped and T-shaped geometries. J. Non-Newton. Fluid Mech. 2:1977;49-81.
8. Perera M.G.N., Walters K. Long-range memory effects in flows involving abrupt changes in geometry. Part II. The expansion-contraction-expansion problem. J. Non-Newton. Fluid Mech. 2:1977;191-204.
9. M.J. Crochet, A.R. Davies, K. Walters, Numerical Simulation of Non-Newtonian Flow, Elsevier, Amsterdam, 1984.
10. Bush M.B., Milthorpe J.F., Tanner R.I. Finite element and boundary element methods for extrusion computations. J. Non-Newton. Fluid Mech. 16:1984;37-51.
11. Bush M.B., Tanner R.I., Phan-Thien N. A boundary element investigation of extrudate swell. J. Non-Newton. Fluid Mech. 18:1985;143-162.
12. Beris A.N., Armstrong R.C., Brown R.A. Spectral/finite element calculations of the flow of a Maxwell fluid between eccentric rotating cylinders. J. Non-Newton. Fluid Mech. 22:1987;129-167.
13. S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere, New York, 1980.
14. Hu H.H., Joseph D.D. Numerical simulation of viscoelastic flow past a cylinder. J. Non-Newton. Fluid Mech. 37:1990;347-377.
15. Yoo J.Y., Na Y. A numerical study of the planar contraction flow of a viscoelastic fluid using SIMPLER algorithm. J. Non-Newton. Fluid Mech. 39:1991;89-106.
16. Darwish M.S., Whiteman J.R., Bevis M.J. Numerical modelling of viscoelastic liquids using a finite-volume method. J. Non-Newton. Fluid Mech. 45:1992;311-337.
17. Sasmal G.P. A finite volume approach for calculation of viscoelastic flow through an abrupt axisymmetric contraction. J. Non-Newton. Fluid Mech. 47:1995;15-47.
18. R.I. Tanner, N. Phan-Thien, X. Huang, Two and three-dimensional finite volume methods for flows of viscoelastic fluids, Proc. 4th Eur. Cong. Rheology, Seville, Spain, 1994, pp. 362-364.
19. Xue S.C., Phan-Thien N., Tanner R.I. Numerical study of secondary flows of viscoelastic fluid in straight pipes by an implicit finite volume method. J. Non-Newton. Fluid Mech. 59:1995;191-213.
20. Huang X., Phan-Thien N., Tanner R.I. Viscoelastic flow between eccentric rotating cylinders: unstructured control volume method. J. Non-Newton. Fluid Mech. 64:1996;71-92.
21. Luo X.-L. A control volume approach for integral viscoelastic models and its application to contraction flow of polymer melts. J. Non-Newton. Fluid Mech. 64:1996;173-189.
22. R.I. Tanner, Engineering Rheology, Clarendon Press, Oxford, 1985.
23. Miller T.F., Schmidt F.W. Use of a pressure weighted interpolation method for the solution of the incompressible Navier-Stokes equations on a non-staggered grid system. Numer. Heat Transf. 14:1988;213-233.
24. Majumdar S. Role of under-relaxation in momentum interpolation for calculation of flow with non-staggered grids. Numer. Heat Transf. 13:1988;125-132.
25. Van Doormal J.P., Raithby G.D. Enhancement of the SIMPLE method for predicting incompressible flows. Numer. Heat Transf. 7:1984;147-163.
26. C.R. Maliska, G.D. Raithby, Calculating 3D fluid flows using orthogonal grids, Proc. 3rd Int. Conf. Numerical Methods in Laminar and Turbulent Flows, Seattle, WA, 1986, pp. 656-666.
27. D.A. Anderson, J.C. Tannehill, R.H. Pletcher, Computational Fluid Mechanics and Heat Transfer, McGraw-Hill, New York, 1984, pp. 57-61.
28. C.A. Fletcher, Computational Techniques for Fluid Dynamics, vol. 2, 2nd ed., Springer, Berlin, 1991.
29. A.S. Mujumdar, R.A. Mashelkar, Advances in Transport Processes, vol. 3, Wiley, Chichester, 1984.
30. K. Missirlis, FIVOS: A FInite VOlume Solver for non-Newtonian flows, Internal Report, Department of Chemical Engineering, NTUA, Athens, Greece, 1996.
31. Back L.H., Roschke E.J. Shear-layer flow regimes and wave instabilities and reattachment lengths downstream of an abrupt circular channel expansion. J. Appl. Mech. 9:1972;677-681.
32. R.B. Bird, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, vol. 1, Fluid Mechanics, Wiley, New York, 1977.