Viscoelastic flow past a cylinder: Drag coefficient

Computer Methods in Applied Mechanics and Engineering

Volumn 180, Issue 3-4, 1999, Pages 243-266

  Phan Thien, Nhan ^a   Dou, Hua Shu ^a  

^a UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; COMPUTER SIMULATION; DRAG; FINITE VOLUME METHOD; MATHEMATICAL MODELS; PARALLEL ALGORITHMS; PARALLEL PROCESSING SYSTEMS; SHEAR STRESS; STRESS ANALYSIS;

ELASTIC VISCOUS SPLIT STRESS (EVSS) FORMULATIONS; UPPER CONVECTIVE MAXWELL (UCM) CONSTITUTIVE MODELS;

VISCOELASTICITY;

CIRCULAR CYLINDER; DRAG; FLOW AROUND OBJECT; MATHEMATICAL MODELING; VISCOELASTIC FLOW;

CYLINDER; DRAG; FLOW AROUND OBJECT; NUMERICAL MODEL; VISCOELASTIC FLUID;

EID: 0033572445     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(99)00168-1     Document Type: Article

References (40)

1. Dou H.-S., Phan-Thien N. Parallelisation of an unstructured finite volume implementation with PVM: viscoelastic flow around a cylinder. J. Non-Newtonian Fluid Mech. 77:1998;21-51.
2. Zheng R., Phan-Thien N., Tanner R.I. On the flow past a sphere in a cylindrical tube: limiting Weissenberg number. J. Non-Newtonian Fluid Mech. 36:1990;27-49.
3. Jin H., Phan-Thien N., Tanner R.I. A finite element analysis of the flow past a sphere in a cylindrical tube: PTT fluid model. Comput. Mech. 8:1991;409-422.
4. Crochet M.J., Legat V. Consistent streamline-upwind/Petrov-Galerkin method for viscoelastic flow revisited. J. Non-Newtonian Fluid Mech. 42:1992;283-299.
5. Lunsmann W.J., Genieser L., Armstrong R.C., Brown R.A. Finite element analysis of steady viscoelastic flow around a sphere in a tube: calculations with constant viscosity models. J. Non-Newtonian Fluid Mech. 48:1993;63-99.
6. Sun J., Tanner R.I. Computation of steady flow past a sphere in a tube using a PTT integral model. J. Non-Newtonian Fluid Mech. 54:1994;379-403.
7. Yurun F., Crochet M.J. High-order finite element methods for steady viscoelastic flows. J. Non-Newtonian Fluid Mech. 57:1995;283-311.
8. Arigo M.T., Rajagopalan D., Shapley N., McKinley G.H. Sedimentation of a sphere through an elastic fluid, Part 1. Steady motion. J. Non-Newtonian Fluid Mech. 60:1995;225-257.
9. Sun J., Phan-Thien, N., Tanner R.I. An adaptive viscoelastic stress splitting scheme and its applications: AVSS/SI and AVSS/SUPG. J. Non-Newtonian Fluid Mech. 65:1996;75-91.
10. Luo L.-X. Operator splitting algorithm for viscoelastic flow and numerical analysis for the flow around a sphere in a tube. J. Non-Newtonian Fluid Mech. 63:1996;121-140.
11. Dhahir S.A., Walters K. On non-Newtonian flow past a cylinder in a confined flow. J. Rheol. 33:1989;781-804.
12. Carew E.O.A., Townsend P. Slow visco-elastic flow past a cylinder in a rectangular channel. Rheoica Acta. 30:1991;58-64.
13. 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.
14. Barakos G., Mitsoulis E. Numerical simulation of viscoelastic flow around a cylinder using an integral constitutive equation. J. Rheol. 39:1995;1279-1292.
15. Huang P.Y., Feng J. Wall effects on the flow of viscoelastic fluids around a circular cylinder. J. Non-Newtonian Fluid Mech. 60:1995;179-198.
16. X. Huang, N. Phan-Thien, R.I. Tanner, Viscoelastic flow past a cylinder between two parallel plates: an unstructured control volume method, J. Non-Newtonian Fluid Mech. (to be submitted).
17. Hu H.H., Joseph D.D. Numerical simulation of viscoelastic flow past a cylinder. J. Non-Newtonian Fluid Mech. 37:1990;347-377.
18. J. Sun, M.D.Smith, R.C. Armstrong, R.A.Brown, Finite element method for viscoelastic flows based on the discrete adaptive viscoelastic stress splitting and the discontinuous Galerkin method: DAVSS-G/DG, J. Non-Newtonian Fluid Mech., 1998, pre-print.
19. Delvaux V., Crochet M.J. Numerical prediction of anomalous transport properties in viscoelastic flow. J. Non-Newtonian Fluid Mech. 37:1990;297-315.
20. Aggarwal R., Keunings R., Roux F.X. Simulation of the integral viscoelastic fluid on a distributed memory parallel computers. J. Rheol. 38:1994;405-419.
21. S.V. Patankar, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York, 1980.
22. Patankar S.V. A calculation procedure for two-dimensional elliptic simulations. Numer. Heat Transfer. 4:1981;409-425.
23. Na Y., Yoo J.Y. A finite volume technique to simulate the flow of a viscoelastic fluid. Comput. Mech. 8:1991;43-55.
24. Darwish M.S., Whitemann J.R., Bevis M.J. Numerical modelling of viscoelastic liquids using finite-volume method. J. Non-Newtonian Fluid Mech. 45:1992;311-337.
25. 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-Newtonian Fluid Mech. 59:1995;191-213.
26. Luo X.-L. A control volume approach for integral viscoelastic models and its application to contraction flow of polymer melts. J. Non-Newtonian Fluid Mech. 64:1996;173-189.
27. Prakash C., Patankar S.V. A control volume-based finite-element method for solving the Navier-Stokes equations using equal-order velocity-pressure interpolation. Numer. Heat Transfer. 8:1985;259-280.
28. Davidson L. A pressure correction method for unstructured meshes with arbitrary control volumes. Int. J. Numer. Meth. Fluids. 22:1996;265-281.
29. Huang X., Phan-Thien N., Tanner R.I. Viscoelastic flow between eccentric rotating cylinders: unstructured control volume method. J. Non-Newtonian Fluid Mech. 64:1996;71-92.
30. Venkatakrishnan V. Perspective on unstructured grid flow solvers. AIAA J. 34:1996;533-547.
31. Phan-Thien N., Tanner R.I. A new constitutive equation derived from network theory. J. Non-Newtonian Fluid Mech. 2:1977;353-365.
32. Perera M.G.N., Walters K. Long-range memory effects in flows involving abrupt changes in geometry. J. Non-Newtonian Fluid Mech. 2:1977;49-81.
33. Rajagopalan D., Armstrong R.C., Brown R.A. Finite element methods for calculation of steady viscoelastic flow using constitutive equations with Newtonian viscosity. J. Non-Newtonian Fluid Mech. 36:1990;159-192.
34. R.G. Larson, Constitutive Equations for Polymer Melts and Solutions, Butterworths Series in Chemical Engineering, Boston, MA, 1988.
35. Quinzani L.M., Armstrong R.C., Brown R.A. Use of coupled birefringence and LDV studies of flow through a planar contraction to test constitutive equations for concentrated polymer solutions. J. Rheol. 39:1995;1201-1228.
36. A. Geist, A. Beguelin, J. Dongarra, W. Jiang, R. Manchek, V. Sunderam, PVM: Parallel Virtual Machine, A Users Guide and Tutorial for Networked Parallel Computing, MIT Press, Cambridge, 1994.
37. Azaiez J., Guenette R., Ait-Kadi A. Numerical simulation of viscoelastic flows through a planar contraction. J. Non-Newtonian Fluid Mech. 62:1996;253-277.
38. M.J. Crochet, A.R. Davies, K. Walters, Numerical Simulation of Non-Newtonian Flow, Elsevier, Amsterdam, 1984, p. 352.
39. Ottinger H.C. Letter to the editor: mesh refinement limits in viscoelastic flow calculations? J. Rheol. 39:1995;987-992.
40. H.-S. Dou, N. Phan-Thien, Parallelized unstructured FVM algorithm for viscoelastic flows-DEVSS-vortex formulation, in: Proceedings of the Eighth National conference on Rheology, Adelaide, July, 1988, pp. 85-88.