2-D Time-Dependent Viscoelastic Flow Calculations Using CONNFFESSIT

AIChE Journal

Volumn 43, Issue 4, 1997, Pages 877-892

  Laso, Manuel ^a   Picasso, Marco ^b   Öttinger, Hans Christian ^c  

^a ETS Ingenieros de Telecomunicacion   (Spain)

^b EPFL   (Switzerland)

^c ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; MATHEMATICAL MODELS; STRESSES; VISCOELASTICITY;

STOCHASTIC SIMULATION TECHNIQUE; STRESS FIELDS; VISCOELASTIC FLOW;

NON NEWTONIAN FLOW;

MODELLING-MATHEMATICAL; NON NEWTONIAN FLOW; VISCOELASTIC FLUIDS;

EID: 0031128185     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690430404     Document Type: Article

References (55)

1. Akl, S. G., Parallel Sorting Algorithms, Academic Press, New York (1985).
2. Allen, M. P., and D. J. Tildesley, Computer Simulation of Liquids, Clarendon, Oxford (1987).
3. Ballal, B. Y., and R. S. Rivlin, "Flow of a Viscoelastic Fluid Between Eccentric Rotating Cylinders," Trans. Soc. Rheol., 20, 65 (1976).
4. Beris, A. N., R. C. Armstrong, and R. A. Brown, "Perturbation Theory for Viscoelastic Fluids between Eccentric Rotating Cylinders," J. Non-Newtonian Fluid Mech., 13, 109 (1983).
5. Beris, A. N., R. C. Armstrong, and R. A. Brown, "Finite Element Calculation of Viscoelastic Flow in a Journal Bearing. I: Small Eccentricities," J. Non-Newtonian Fluid Mech., 16, 141 (1984).
6. Beris, A. N., R. C. Armstrong, and R. A. Brown, "Finite Element Calculation of Viscoelastic Flow in a Journal Bearing. I: Moderate Eccentricity," J. Non-Newtonian Fluid Mech., 19, 323 (1986).
7. Beris, A. N., R. C. Armstrong, and R. A. Brown, "Spectral/Finite Element Calculations of the Flow of a Maxwell Fluid between Eccentric Rotating Cylinders," J. Non-Newtonian Fluid Mech., 22, 129 (1987).
8. Bird, R. B., C. F. Curtiss, R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids, Vol. II, Wiley, New York (1987).
9. Burdette, S. R., "Development of the Velocity Field in Transient Shear Flows of Viscoelastic Fluids," J. Non-Newtonian Fluid Mech., 32, 269 (1989).
10. Chilcott, M. D., and J. M. Rallison, "Creeping Flow of Dilute Polymer Solutions Past Cylinders and Spheres," J. Non-Newtonian Fluid Mech., 29, 381 (1988).
11. Clemençon, C., K. M. Decker, A. Endo, J. Fritscher, N. Masuda, A. Müller, R. Rühl, W. Sawyer, E. de Sturler, B. J. N. Wylie, and F. Zimmermann, "Architecture and Programmability of the NEC Cenju-3," SPEEDUP J. (1994).
12. Davies, M. J., and K. Walters, Rheology of Lubricants, T. C. Davenport, ed., Halsted Press (1973).
13. Feigl, K., M. Laso, and H. C. Öttinger, "A Two-Dimensional Test Problem for the CONNFFESSIT Approach to Solving Viscoelastic Fluid Problems," Proc. Eur. Rheology Conf., C. Gallegos, A. Guerrero, J. Muñoz, and M. Berjano, eds., Sevilla, p. 3261 (1994).
14. Feigl, K., M. Laso, and H. C. Öttinger, "The CONNFFESSIT Approach for Solving a Two-Dimensional Viscoelastic Fluid Problem," Macromolecules, 28(9) (1995).
15. Fix, G. J., and P. R. Paslay, "Incompressible Elastic Viscous Lubricants in Continuous-Sleeve Journal Bearing," J. Appl. Mech. Trans. ASME, 34, 579 (1967).
16. Halin, P., R. Keunings, M. Laso, H. C. Öttinger, and M. Picasso, "Evaluation of a Micro-Macro Computational Technique in Complex Polymer Flows," Proc. Int. Cong. Rheology, A. Aït-Kadi, J. M. Dealy, D. F. James, and M. C. Williams, eds., Laval University, Quebec City, Canada, p. 401 (1996).
17. Herrchen, M., and H. C. Öttinger, "A Detailed Comparison of Various FENE Dumbbell Models," J. Non-Newtonian Fluid Mech. (1996).
18. Hulsen, M. A., A. P. G. van Heel, and B. H. A. A. van den Brule, "Simulation of Viscoelastic Flows Using Brownian Configuration Fields," J. Non-Newtonian Fluid Mech. (1996).
19. Knuth, D. E., The Art of Computer Programming, Vol. II, Sec. 3.2, Addison-Wesley, Reading, MA (1981).
20. Lakshmivarahan, S., S. K. Dhall, and L. L. Miller, Adv. Comput., 23, 295 (1984).
21. Laso, M., and H. C. Öttinger, "Calculation of Viscoelastic Flow Using Molecular Models: The CONNFFESSIT Approach," J. Non-Newtonian Fluid Mech., 47, 1 (1993a).
22. Laso, M., and H. C. Öttinger, "Von molekularen Modellen zu komplexen Strömungen," Physik. Blätter, 49(2), 121 (1993b).
23. Lawler, J. V., S. J. Muller, R. A. Brown, and R. C. Armstrong, "Laser Doppler Velocimetry Measurements of Velocity Fields and Transitions in Viscoelastic Fluids," J. Non-Newtonian Fluid Mech., 20, 51 (1986).
24. Luo, X. L., and R. I. Tanner, "A Streamline Element Scheme for Solving Viscoelastic Flow Problems. Part II: Integral Constitutive Models," J. Non-Newtonian Fluid Mech., 22, 61 (1986).
25. Malkus, D. S., and B. Bernstein, "Flow of a Curtiss-Bird Fluid over a Transverse Slot Using the Finite Element Drift-Function Method," J. Non-Newtonian Fluid Mech., 16, 77 (1984).
26. Melchior, M., and H. C. Öttinger, "Variance Reduced Simulations of Polymer Dynamics," J. Chem. Phys., 105(8), 3316 (1996).
27. Mochimaru, Y., "Unsteady-State Development of Plane Couette Flow for Viscoelastic Fluids," J. Non-Newtonian Fluid Mech., 12, 135 (1983).
28. MPIF, Tech. Rep. CS-94-230, Univ. of Tennessee, Knoxville (1994); also J. Supercomput. Appl., 8 (1994); also available from http://www.mcs.anl.gov/mpi/mpi-report/mpi-report.html.
29. MPIF, Tech. Rep. CS-94-230, Univ. of Tennessee, Knoxville (1994); also J. Supercomput. Appl., 8 (1994); also available from http://www.mcs.anl.gov/mpi/mpi-report/mpi-report.html.
30. Muramatsu, K., S. Doi, T. Washio, and T. Nakata, "Implementing a CFD Solver on Cenju-3 Parallel Computer," Parallel Computational Fluid Dynamics: New Algorithms and Applications, N. Satofuka and J. Periaux, and A. Ecer, eds., Elsevier, Amsterdam (1995).
31. Öttinger, H. C., and M. Laso, "Smart Polymers in Finite-Element Calculations," Theoretical and Applied Rheology, Proc. Int. Congr. on Rheology, P. Moldenaers and R. Keunings, eds., Elsevier, Brussels (1992).
32. Öttinger, H. C., "A Model of Dilute Polymer Solutions with Hydrodynamic Interaction and Finite Extensibility. I. Basic Equations and Series Expansions," J. Non-Newtonian Fluid Mech., 26, 207 (1987).
33. Öttinger, H. C., "Incorporation of Polymer Diffusivity and Migration into Constitutive Equations," Rheol. Acta, 31, 14 (1992).
34. Öttinger, H. C., Stochastic Processes in Polymeric Fluids, Springer-Verlag, Berlin (1996).
35. Öttinger, H. C., and M. Laso, "Bridging the Gap Between Molecular Models and Viscoelastic Flow Calculations," Lectures on Thermodynamics and Statistical Mechanics, Chapter VIII, World Scientific, Singapore, p. 139 (1994).
36. Park, S. K., and K. W. Miller, "Random Number Generators: Good Ones are Hard to Find," Commun. ACM, 31, 1192 (1988).
37. Peterlin, A., "Einfluss der endlichen Moleküllänge auf die Grandientenabhängigkeit des Staudinger-Index," Makromol. Chem., 44-46, 338 (1961).
38. Peterlin, A., "Gradientenabhängigkeit der Viskositätszahl in nichtidealen Lösungsmitteln," Kolloid-Z., 182, 110 (1962).
39. Phan-Thien, N., and R. I. Tanner, "Journal Lubrication and Normal Stress Measurement," J. Non-Newtonian Fluid Mech., 9, 107 (1981).
40. Pironneau, O., Finite Element Methods for Fluids, Wiley, New York (1989).
41. Purnode, B., "Vortices and Change of Type in Contraction Flows of Viscoelastic Fluids," PhD Thesis, Université Catholique de Louvain, Louvain, Belgium (1996).
42. Rajagopalan, D., J. A. Byars, R. C. Armstrong, and R. S. Brown, "Comparison of Numerical Simulations and Birefringence Measurements in Viscoelastic Flow between Eccentric Rotating Cylinders," J. Rheol., 36(7), 1349 (1992).
43. Reiner, M., M. Hanin, and A. Harnoy, "An Analysis of Lubrication with Elastico-Viscous Liquid," Israel J. Technol., 7, 273 (1969).
44. Risken, H., The Fokker-Planck Equation, Springer Series in Synergetics, Springer-Verlag, Berlin (1989).
45. Rivlin, R. S., "Some Recent Results on the Flow of Non-Newtonian Fluids," J. Non-Newtonian Fluid Mech., 79, 79 (1979).
46. Roberts, G. W., and K. Walters, "On Viscoelastic Effects in Journal-Bearing Lubrication," Rheol. Acta, 31, 55 (1992).
47. Sommerfeld, A., "Zur hydrodynamischen Thorie der Schmiermittlereibung," Z. Math. Physik, 50, 97 (1904).
48. Tanner, R. I., "Non-Newtonian Lubrication Theory and Its Application to the Short Journal Bearing," Aust. J. Appl. Sci., 14, 129 (1963).
49. van den Brule, B. H. A. A., "Brownian Dynamics Simulation to Finitely Extensible Bead-Spring Chains," J. Non-Newtonian Fluid Mech., 47, 357 (1993).
50. Virirayuthakorn, M., and B. Caswell, "Finite Element Simulation of Viscoelastic Flow," J. Non-Newtonian Fluid Mech., 6, 245 (1980).
51. Warner, H. R., "Kinetic Theory and Rheology of Dilute Suspensions of Finitely Extensible Dumbbells," Ind. Eng. Chem. Fundam., 11, 379 (1972).
52. Wedgewood, L. E., and H. C. Öttinger, "A Model of Dilute Polymer Solutions with Hydrodynamic Interaction and Finite Extensibility: II. Shear Flows," J. Non-Newtonian Fluid Mech., 27, 245 (1988).
53. Wedgewood, L. E., D. N. Ostrov, and R. B. Bird, "A Finitely Extensible Bead-Spring Chain Model for Dilute Polymer Solutions," J. Non-Newtonian Fluid Mech., 40, 119 (1991).
54. Yeh, P.-W., M. E. Kim-E, R. C. Armstrong, and R. A. Brown, "Multiple Solutions in the Calculation of Axisymmetric Contraction Flow of an Upper Converted Maxwell Fluid," J. Non-Newtonian Fluid Mech., 16, 173 (1984).
55. Zone, O., O. Vanderstraeten, and R. Keunings, "A Parallel Direct Solver for Implicit Finite Element Problems Based on Automatic Domain Decomposition," Massively Parallel Processing: Applications and Development, L. Dekker, W. Smit, and J. C. Zuidervaart, eds., Elsevier, Amsterdam, p. 809 (1994).