Effect of random longitudinal vibrations on the Poiseuille flow of a complex liquid

Rheologica Acta

Volumn 48, Issue 7, 2009, Pages 779-800

  Emilio Herrera, E ^a   Calderas, F ^a   Chavez A E ^a   Manero, O ^a   Mena, B ^a  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

Author keywords

Poiseuille flow; Rheological modeling; Vibrating pipe; Viscoelastic properties; Wormlike micelles

Indexed keywords

EID: 73949123512     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00397-009-0372-x     Document Type: Article

References (55)

1. Acierno A., La Mantia FP, Marrucci G, Titomanlio G (1976) A non linear viscoelastic model with structure dependent relaxation times. I. Basic formulation. J Non-Newton Fluid Mech 1:125-146
2. Barnes H. A, Towsend P, Walters K (1969) Flow of non-Newtonian liquids under a varying pressure gradient. Nature 224:585-587
3. Barnes H. A, Towsend P, Walters K (1971) On pulsatile flow of non-Newtonian liquids. Rheol Acta 10:517-527
4. Bautista F., De Santos JM, Puig JE, Manero O (1999) Understanding thixotropic and antithixotropic behavior of viscoelastic micellar solutions and liquid crystalline dispersions. The model. J Non-Newton Fluid Mech 80:93-113
5. Bautista F., Soltero JFA, Macias ER, Manero O (2002) On the shear banding flow of wormlike micelles. J Phys Chem, B 106:13018-13026
6. Bautista F., Soltero JFA, Pérez-López JH, Puig JE, Manero O (2000) On the shear banding flow of elongated micellar solutions. J Non-Newton Fluid Mech 94:57-66
7. Berret L. F (1997) Transient rheology of wormlike micelles. J Rheol 39:725-741
8. Bird R. B, Armstrong RC, Hassager O (1977) Dynamics of polymeric liquids, vol 1. Fluid mechanics. Wiley, New York
9. Brown J. W, Churchill RV (2001) Fourier series and boundary value problems, 6th edn. McGraw Hill, New York
10. Calderas F., Sánchez-Solis A, Maciel A, Manero O (2009) The transient flow of the PETPEN-Montmorillonite clay nanocomposite. Macromol Symp MACROMEX 2008 (in press)
11. Casulli J., Clermont JR, Von Ziegler A, Mena B (1990) The oscillating die: a useful concept in polymer extrusion. J Polym Eng Sci 30:1551-1556
12. Cates M. E (1987) Reptation of living polymers: dynamics of entangled polymers in the presence of reversible chain-scission reactions. Macromolecules 20:2289-2296
13. Cates M. E, Candau SJ (1990) Statics and dynamics of worm-like surfactants micelles. J Phys Condens Matter 2:6869-6892
14. Davies J. M, Bhumiratana S, Bird RB (1978) Elastic and inertial effects in pulsatile flow of polymeric liquids in circular tubes. J Non-Newton Fluid Mech 3:237-259
15. De Andrade Lima LRP, Rey AD (2005) Pulsatile Poiseuille flow of discotic mesophases. Chem Eng Sci 60:6622-6636
16. De Andrade Lima LRP, Rey AD (2006) Pulsatile flows of Leslie-Ericksen liquid crystals. J Non-Newton Fluid Mech 135: 32-45
17. De Kee D, Chan Man Fong CF (1994) Rheological properties of structured fluids. Polym Eng Sci 34:438-445
18. Ding F., Giacomin, Bird RB, Kweon CB (1999) Viscous dissipation with fluid inertia in oscillatory shear flow. J Non-Newton fluid Mech 86:359-374
19. Dunwoody J. (1996) The effects of inertia and infinite amplitude on oscillatory plane shear flow of K-BKZ fluids such as LPDE melts. J Non-Newton Fluid Mech 65:195-200
20. Edwards M. F, Nellist DA, Wilkinson WL (1972) Pulsating flows of non-Newtonian fluids in pipes. Chem Eng Sci 27: 545-553
21. Fredrickson A. G (1964) Principles and applications of rheology. Prentice-Hall, Englewood Cliffs
22. Gianetto A., BaldiG, Capra V (1973) Laminar pulsed flow of non-Newtonian fluids. Chem Eng Sci 27:295-306
23. Giesekus H. (1966) Die Elastizitat von Flussigkeiten. Rheol Acta 5:29-35
24. Giesekus H. (1982) A simple constitutive equation for polymer fluids based on the concept of deformation-dependent tensorial mobility. J Non-Newton Fluid Mech 11:69-109
25. Giesekus H. (1984) On configuration-dependent generalized Oldroyd derivatives. J Non-Newton Fluid Mech 14:47-65
26. Giesekus H. (1985) Constitutive equation for polymer fluids based on the concept of configuration dependent molecular mobility: a generalized mean-configuration model. J Non-Newton Fluid Mech 17:349-372
27. Herrera E. E (2009) Flujo oscilante de líquidos complejos. Ph.D. thesis, División de Estudios de Posgrado de la Facultad de Química, Universidad Nacional Autónoma de México, Mexico
28. Herrera-Velarde JR, Mena B (2000) A note on Newtonian and non-Newtonian oscillatory pipe flow. Rev Mex Fis 46(6):566-571
29. Herrera-Velarde JR, Mena B (2001) Viscous dissipation of a power law fluid in a oscillatory pipe flow. Rev Mex Fis 47 (4):351-356
30. Herrera Velarde JR, Zenit R, Mena B (2003) Measurement of the temperature rise in non-Newtonian oscillatory pipe flows. J. Non-Newton Fluid Mech 109:157-176
31. Isayev A. I, Wong CM, Zeng X (1990) Flow of thermoplastic in annular die under orthogonal oscillations. J Non-Newton Fluid Mech 34:375-397
32. Kazakia J. Y, Rivlin RS (1978) The influence of vibration on Poiseuille flow of non-Newtonian fluids. I. Rheol Acta 18:210-226
33. Kazakia J. Y, Rivlin RS (1979) The influence of vibration on Poiseuille flow of non-Newtonian fluids, II. Rheol Acta 18:244-255
34. Khabakhpasheva E. M, Popov VI, Kekalov AN, Mikhailova ES (1989) Pulsating flow of a viscoelastic fluids in tubes. J Non-Newton Fluid Mech 33:289-304
35. Manero O., Mena B (1977) An interesting effect in non-Newtonian flow in oscillating pipes. Rheol Acta 19:277-284
36. Manero O., Walters K (1980) On elastic effects in unsteady pipe flows. Rheol Acta 19:277-284
37. Manero O., Bautista F, Soltero JFA, Puig JE (2002) Dynamics of worm-like micelles: the Cox-Merz rule. J Non-Newton Fluid Mech 106:1-15
38. Mena B., Manero O, Binding DM (1979) Complex flow of viscoelastic fluids through oscillating pipes. Interesting effects and applications. J Non-Newton Fluid Mech 5: 427-448
39. Middleman S. (1977) Fundamental of polymer processing. McGraw-Hill, New York
40. Mori N., Wakabayashi K, Horikawa A, Nakamura K (1984) Measurements of pulsating and oscillating flows on non-Newtonian fluids through concentric and eccentric cylinders. Rheol Acta 23:508-513
41. Phan-Thien N. (1978) On pulsating flow of polymeric fluids. J Non-Newton Fluid Mech 4:167-176
42. Phan-Thien N. (1980a) Flow enhancement mechanism of a pulsating flow of non-Newtonian liquids. Rheol Acta 19: 285-290
43. Phan-Thien N. (1980b) The effects of longitudinal vibration on pipe flow of a non-Newtonian fluid. Rheol Acta 19: 539-547
44. Phan-Thien N. (1981) On pulsating flow of a polymer fluids: strain-dependent memory kernels. J Rheol 25(3):293-314
45. Phan-Thien N. (1982) On a pulsating flow of slightly non-Newtonian liquids. J Méc Théor Appl 1:81-89
46. Phan-Thien N., Dudek J (1982a) Pulsating flow of a plastic fluid. Nature 296:843-844
47. Phan-Thien N., Dudek J (1982b) Pulsating flow revisited. J Non-Newton Fluid-Mech 11:147-161
48. Soltero J. FA, Puig JE, Manero O (1999) Rheology of cetyltrimethylammonium p-toluenesulfonate-water system. 3. Nonlinear viscoelasticity. Langmuir 15:1604-1612
49. Spenley N. A, Cates ME (1994) Pipe models for entangled fluids under strong shear. Macromolecules 27:3850-3858
50. Spenley N. A, Cates ME, McLeish TCB (1993) Non-linear rheology of wormlike micelles. Phys Rev Lett 71:939-942
51. Spenley N. A, Yuan XF, Cates ME (1996) Non-monotonic constitutive laws and the formation of shear banded flows. J Phys II France 6:551-571
52. Sundstrom D. W, Kaufman A (1977) Pulsating flow of polymeric solutions. Ind Eng Chem Process Dses Dev 16(3):320-325
53. Townsend P. (1973) Numerical solutions of some unsteady flows of elastico-viscous liquids. Rheol Acta 12:13-18
54. Wong C. M, Chen CH, Isayaev AI (1990) Flow of thermoplastic in an annular die under parallel oscillations. Polym Eng Sci 30:1574-1584
55. Yaglom A. M (1965) An introduction to the theory of stationary random functions. Prentice-Hall, Englewood Cliffs (translated by Silverman RA)