Boger fluids

Annual Review of Fluid Mechanics

Volumn 41, Issue , 2009, Pages 129-142

  James, David F ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

Constant viscosity; David Boger; Dilute polymer solutions; Elastic liquids; Rheology; Viscoelastic

Indexed keywords

CONSTANT VISCOSITY; DAVID BOGER; DILUTE POLYMER SOLUTIONS; ELASTIC LIQUIDS; VISCOELASTIC;

CONSTITUTIVE EQUATIONS; ELASTIC CONSTANTS; ELASTICITY; FLOW OF FLUIDS; PLASTICITY; POLYMER SOLUTIONS; POLYMERS; RHEOLOGY; SHEAR DEFORMATION; VISCOSITY;

FLUIDS;

EQUATION; FLUID FLOW; LIQUID; NEWTONIAN FLUID; POLYMER; RHEOLOGY; VISCOELASTIC FLUID; VISCOSITY;

EID: 67651033992     PISSN: 00664189     EISSN: None     Source Type: Book Series    
DOI: 10.1146/annurev.fluid.010908.165125     Document Type: Review

References (74)

1. Anna SL, McKinley GH, Nguyen DA, Sridhar T, Muller SJ, et al. 2001. An interlaboratory comparison of measurements from filament-stretching rheometers using common test fluids. J. Rheol. 45:83-114
2. Arigo MT, Rajagopalan DR, Shapley NT, McKinley GH. 1995. The sedimentation of a sphere through an elastic fluid: part 1, steady motion. J. Non-Newton. Fluid Mech. 60:225-57
3. Becker LE, McKinley GH, Rasmussen HK, Hassager O. 1994. The unsteady motion of a sphere in a viscoelastic fluid. J. Rheol. 38:377-403
4. Binnington RJ, Boger DV. 1986. Remarks on nonshear thinning elastic fluids. Polym. Eng. Sci. 26:133-38
5. Bird RB, Curtiss CF, Armstrong RC, Hassager O. 1987. Dynamics of Polymeric Liquids, Vol. 2. New York: Wiley & Sons
6. Boger DV. 1977/1978. A highly elastic constant-viscosity fluid. J. Non-Newton. Fluid Mech. 3:87-91
7. Boger DV. 1987. Viscoelastic flows through contractions. Annu. Rev. Fluid Mech. 19:157-82
8. Boger DV, Binnington RJ. 1994. Experimental removal of the re-entrant corner singularity in tubular entry flows. J. Rheol. 38:333-49
9. Boger DV, Mackay ME. 1991. Continuum and molecular interpretation of ideal elastic fluids. J. Non-Newton. Fluid Mech. 41:133-50
10. Chhabra RP, Uhlherr PHT, Boger DV. 1980. The influence of fluid elasticity on the drag coefficient for creeping flow around a sphere. J. Non-Newton. Fluid Mech. 6:187-99
11. Chmielewski C, Jayaraman K. 1992. The effect of polymer extensibility on crossflow of polymer solutions through cylinder arrays. J. Rheol. 36:1105-26
12. Chmielewski C, Nichols KL, Jayaraman K. 1990a. A comparison of the drag coefficients of spheres translating in corn-syrup-based and polybutene-based Boger fluids. J. Non-Newton. Fluid Mech. 35:37-49
13. Chmielewski C, Petty CA, Jayaraman K. 1990b. Crossflow of elastic liquids through arrays of cylinders. J. Non-Newton. Fluid Mech. 35:309-25
14. Christanti Y, Walker LM. 2001. Surface tension driven jet break up of strain-hardening polymer solutions. J. Non-Newton. Fluid Mech. 100:9-26
15. Christanti Y, Walker LM. 2002. Effect of fluid relaxation time on jet breakup due to a forced disturbance of polymer solutions. J. Rheol. 46:733-48
16. Dhahir SA, Walters K. 1989. On non-Newtonian flow past a cylinder in a confined flow. J. Rheol. 33:781-804
17. Dontula P, Macosko CW, Scriven LE. 2004. Model elastic liquids with water-soluble polymers. AIChE J. 44:1247-55
18. Durst F, Haas R. 1981. Dehnstromungen mit verdunnten polymerlosungen: ein theoretisches model and seine experimentelle verifikation. Rheol. Acta 20:179-92
19. Giesekus H. 1966. On the stability of flow of viscoelastic fluids I. Plane and circular Couette flow. Rheol. Acta 5:239-52
20. Giesekus H. 1982. A simple constitutive equation for polymeric fluids based on the concept of configuration-dependent tensorial mobility. J. Non-Newton. Fluid Mech. 11:69-109
21. Hoyt JW. 1972. The effect of additives on fluid friction. Trans. ASMEJ. Basic Eng. 94:258-85
22. Huzyak PC, Koelling KW. 1997. The penetration of a long bubble through a viscoelastic fluid in a tube. J. Non-Newton. Fluid Mech. 71:73-88
23. James DF, McLaren DR. 1975. The laminar flow of dilute polymer solutions through porous media. J. Fluid Mech. 70:733-52
24. Khomami B, Moreno LD. 1997. Stability of viscoelastic flow around periodic arrays of cylinders. Rheol. Acta 36:367-83
25. Kim J-H, Oztekin A, Neti S. 2000. Instabilities in viscoelastic flow past a square cavity. J. Non-Newton. Fluid Mech. 90:261-81
26. Larson RG. 1988. Constitutive Equations for Polymer Melts and Solutions. Boston: Butterworths
27. Larson RG. 1992. Instabilities in viscoelastic flows. Rheol. Acta 31:213-63
28. Larson RG. 2005. The rheology of dilute solutions of flexible polymers: progress and problems. J. Rheol. 49:1-70
29. Larson RG, Muller SJ, Shaqfeh ESG. 1994. The effect of fluid rheology on the elastic Taylor-Couette instability. J. Non-Newton. Fluid Mech. 51:195-225
30. Larson RG, Shaqfeh ESG, Muller SJ. 1990. A purely elastic instability in Taylor-Couette flow. J. Fluid Mech. 218:573-600
31. Laun HM, Hingmann R. 1990. Rheological characterization of the fluid M1 and its components. J. NonNewton. Fluid Mech. 35:137-57
32. Lee AG, Shaqfeh ESG, Khomami B. 2005. Viscoelastic effects on interfacial dynamics in air-liquid displacement under gravity stabilization. J. Fluid Mech. 531:59-83
33. Lerdwijitjarud W, Sirivat A, Larson RG. 2004. Influence of dispersed-phase elasticity on steady-state deformation and breakup of droplets in simple shearing flow of immiscible polymer blends. J. Rheol. 48:843-62
34. Li L, Larson RG, Sridhar T. 2000. Brownian dynamics simulations of dilute polystyrene solutions. J. Rheol. 44:291-322
35. Magda JJ, Larson RG. 1988. A transition occurring in ideal elastic liquids during shear flow. J. Non-Newton. FluidMech. 30:1-19
36. McKinley GH, Armstrong RC, Brown RA. 1993. The wake instability in viscoelastic flow past confined circular cylinders. Philos. Trans. Phys. Sci. Eng. 344:265-304
37. McKinley GH, Byars JA, Brown RA, Armstrong RC. 1991a. Observations on the elastic instability in cone-and-plate and parallel-plate flows of a polyisobutylene Boger fluid.J. Non-Newton. Fluid Mech. 40:201-29
38. McKinley GH, Raiford WP, Brown RA, Armstrong RC. 1991b. Nonlinear dynamics of viscoelastic flow in axisymmetric abrupt contractions. J. FluidMech. 223:411-56
39. Mighri F, Ajji A, Carreau PJ. 1997. Influence of elastic properties on drop deformation in elongational flow. J. Rheol. 41:1183-201
40. Mighri F, Carreau PJ, Ajji A. 1998. Influence of elastic properties on drop deformation and breakup in shear flow. J. Rheol. 42:1477-90
41. Mighri F, Huneault MA. 2001. Dispersion visualization of model fluids in a transparent Couette flow cell. J. Rheol. 45:783-97
42. Muller SJ, Larson RG, Shaqfeh ESG. 1989. A purely elastic transition in Taylor-Couette flow. Rheol. Acta 28:499-503
43. Muller SJ, Shaqfeh ESG, Larson RG. 1993. Experimental studies of the onset of oscillatory instability in viscoelastic Taylor-Couette flow. J. Non-Newton. Fluid Mech. 46:315-30
44. Mun RP, Young BW, Boger DV. 1999. Atomisation of dilute polymer solutions in agricultural spray nozzles. 7 Non-Newton. Fluid Mech. 83:163-78
45. Niederkorn TC, Ottino JM. 1993. Mixing of viscoelastic fluid in a time-periodic flow. J. Fluid Mech. 256:243-68
46. Nigen S, Walters K. 2002. Viscoelastic contraction flows: comparison of axisymmetric and planar configurations. J. Non-Newton. FluidMech. 102:343-59
47. Odell JA, Carrington SP. 2006. Extensional flow oscillatory rheometry.J. Non-Newton. Fluid Mech. 137:110-20
48. Pakdel P, Spiegelberg SH, McKinley GH. 1997. Cavity flows of elastic liquids: two-dimensional flows. Phys. Fluids 9:3123-40
49. Petrie CJS, Denn MM. 1976. Instabilities in polymer processing. AIChEJ. 22:209-36
50. Phan-Thien N. 1983. Coaxial-disk flow of an Oldroyd-B fluid: exact solution and stability. J. Non-Newton. Fluid Mech. 13:325-40
51. Phan-Thien N. 1985. Cone-and-plate flow of the Oldroyd-B fluid is unstable. J. Non-Newton. Fluid Mech. 17:37-44
52. Phan-Thien N, Dudek K, Boger DV, Tirtaatmadja V. 1985. Squeeze film flow of ideal elastic liquids. J. Non-Newton. Fluid Mech. 18:227-54
53. Philippoff W. 1964. Dynamic investigations of polymer solutions in an extended range of frequencies. Trans. Soc. Rheol. 8:117-34
54. Prilutski G, Gupta RK, Sridhar T, Ryan ME. 1983. Model viscoelastic liquids. J. Non-Newton. Fluid Mech. 12:233-41
55. Quinzani LM, McKinley GH, Brown RA, Armstrong RC. 1990. Modeling the rheology of polyisobutylene solutions. J. Rheol. 34:705-48
56. Rouse PE. 1953. A theory of the linear viscoelastic properties of dilute solutions of coiling polymers. J. Chem. Phys. 21:1272-80
57. Rouse PE, Sittel K. 1953. Viscoelastic properties of dilute polymer solutions. J. Appl. Phys. 24:690-96
58. Scirocco R, Vermant J, Mewis J. 2004. Effect of the viscoelasticity of the suspending fluid on structure formation in suspensions. J. Non-Newton. Fluid Mech. 117:183-92
59. Shaqfeh ESG. 1996. Purely elastic instabilities in viscometric flow. Annu. Rev. Fluid Mech. 28:129-85
60. Shaqfeh ESG, Muller SJ, Larson RG. 1992. The effects of gap width and dilute solution properties on the viscoelastic Taylor-Couette instability. J. Fluid Mech. 235:285-317
61. Shiang AH, Lin JC, Oztekin A, Rockwell D. 1997. Viscoelastic flow around a confined circular cylinder: measurements using high-image-density particle image velocimetry. J. Non-Newton. Fluid Mech. 73:29-49
62. Sibillo V, Simeone M, Guido S, Greco F, Maffettone PL. 2006. Start-up and retraction dynamics of a Newtonian drop in a viscoelastic matrix under simple shear flow.J. Non-Newton. Fluid Mech. 134:27-32
63. Solomon MJ, Muller SJ. 1996. Flow past a sphere in polystyrene-based Boger fluids: the effect on the drag coefficient of finite extensibility, solvent quality and polymer molecular weight. J. Non-Newton. Fluid Mech. 62:81-94
64. Sridhar T. 1990. An overview of the project M1. J. Non-Newton. Fluid Mech. 35:85-92
65. Stokes JR, Graham LJW, Lawson NJ, Boger DV. 2001. Swirling flow of viscoelastic fluids. Part 2. Elastic effects. J. Fluid Mech. 429:117-53
66. Tirtaatmadja V, McKinley GH, Cooper-White JJ. 2006. Drop formation and breakup of low viscosity elastic fluids: effects of molecular weight and concentration. Phys. Fluids 18:043101
67. Tirtaatmadja V, Sridhar T. 1993. A filament stretching device for measurement of extensional viscosity. J. Rheol. 37:1081-102
68. Tirtaatmadja V, Sridhar T. 1995. Comparison of constitutive equations for polymer solutions in uniaxial extension. J. Rheol. 39:1133-60
69. Tirtaatmadja V, Uhlherr PHT, Sridhar T. 1990. Creeping motion of spheres in fluid M1. J. Non-Newton. Fluid Mech. 35:327-37
70. Verhoef MRJ, van den Brule BHAA, Hulsen MA. 1999. On the modelling of a PIB/PB fluid in extensional flow. J. Non-Newton. Fluid Mech. 80:155-82
71. Walters K. 1979. Developments in non-Newtonian fluid mechanics: a personal view. J. Non-Newton. Fluid Mech. 5:113-24
72. White CM, Mungal MG. 2008. Mechanics and prediction of turbulent drag reduction with polymer additives. Annu. Rev. Fluid Mech. 40:235-56
73. Yang B, Khomami B. 1999. Simulations of sedimentation of a sphere in a viscoelastic fluid using molecular based constitutive models. J. Non-Newton. FluidMech. 82:429-52
74. Zimm BH. 1956. Dynamics of polymer molecules in dilute solution: viscoelasticity, flow birefringence and dielectric loss. J. Chem. Phys. 24:269-78