Non-Newtonian flow in porous media

Polymer

Volumn 51, Issue 22, 2010, Pages 5007-5023

  Sochi, Taha ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Flow; Non Newtonian; Porous media

Indexed keywords

CONTINUUM MECHANICS; NON NEWTONIAN LIQUIDS; NUMERICAL METHODS; POROUS MATERIALS;

CONTINUUM MODEL; FLOW; FLOW THROUGH POROUS MEDIAS; NON-NEWTONIAN; NON-NEWTONIAN FLUIDS; PORE SCALE NETWORK MODEL; SINGLE-PHASE FLOW;

NON NEWTONIAN FLOW;

EID: 77957864230     PISSN: 00323861     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.polymer.2010.07.047     Document Type: Review

References (96)

1. Skelland A.H.P. Non-Newtonian flow and heat transfer 1967, John Wiley and Sons Inc.
2. Chhabra R.P., Richardson J.F. Non-Newtonian flow in the process industries 1999, Butterworth Heinemann Publishers.
3. Collyer A.A. Time dependent fluids. Phys Edu 1974, 9:38-44.
4. Barnes H.A., Hutton J.E., Walters K. An introduction to rheology 1993, Elsevier.
5. Bird R.B., Armstrong R.C., Hassager O. Dynamics of polymeric liquids 1987, vol. 1. John Wily & Sons. 2nd ed.
6. Owens R.G., Phillips T.N. Computational rheology 2002, Imperial College Press.
7. Sochi T., Blunt M.J. Pore-scale network modeling of Ellis and Herschel-Bulkley fluids. J Petrol Sci Eng 2008, 60(2):105-124.
8. Deiber JA. Modeling the flow of Newtonian and viscoelastic fluids through porous media. PhD thesis, Princeton University, 1978.
9. Denn M.M. Issues in viscoelastic fluid mechanics. Annu Rev Fluid Mech 1990, 22:13-34.
10. Hulsen M.A. A discontinuous Galerkin method with splitting applied to visco-elastic flow 1986, Faculty of Mechanical Engineering and Marine Technology, Delft University of Technology.
11. Keunings R. Micro-macro methods for the multi-scale simulation of viscoelastic flow using molecular models of kinetic theory. Rheol Rev 2004, 67-98.
12. Carreau P.J., De Kee D., Chhabra R.P. Rheology of polymeric systems 1997, Hanser Publishers.
13. Larson R.G. The structure and rheology of complex fluids 1999, Oxford University Press.
14. Larson R.G. Constitutive equations for polymer melts and solutions 1988, Butterworth Publishers.
15. White J.L., Metzner A.B. Thermodynamic and heat transport considerations for viscoelastic fluids. Chem Eng Sci 1965, 20:1055-1062.
16. Barnes H.A. Thixotropy - a review. J Nonnewton Fluid Mech 1997, 70(1):1-33.
17. Hulsen M.A. Analysis of the equations for viscoelastic flow: type, boundary conditions, and discontinuities 1986, Faculty of Mechanical Engineering, Delft University of Technology.
18. Hulsen M.A. A numerical method for solving steady 2D and axisymmetrical viscoelastic flow problems with an application to inertia effects in contraction flows 1990, Faculty of Mechanical Engineering, Delft University of Technology.
19. Keunings R. Finite element methods for integral viscoelastic fluids. Rheol Rev 2003, 167-195.
20. van Os R.G.M., Phillips T.N. Spectral element methods for transient viscoelastic flow problems. J Comput Phys 2004, 201(1):286-314.
21. Durst F., Haas R., Interthal W. The nature of flows through porous media. J Nonnewton Fluid Mech 1987, 22(2):169-189.
22. Johnson D.L., Koplik J., Dashen R. Theory of dynamic permeability and tortuosity in fluid-saturated porous media. J Fluid Mech 1987, 176:379-402.
23. Andrade J.S., Almeida M.P., Filho J.M., Havlin S., Suki B., Stanley H.E. Fluid flow through porous media: the role of stagnant zones. Phys Rev Lett 1997, 79:3901-3904.
24. Shenoy A.V. Darcy-Forchheimer natural, forced and mixed convection heat transfer in non-Newtonian power-law fluid-saturated porous media. Transport Porous Media 1993, 11(3):219-241.
25. Schowalter W.R. Mechanics of non-Newtonian fluids 1978, Pergamon Press Inc.
26. Kozicki W., Tiu C. A unified model for non-Newtonian flow in packed beds and porous media. Rheol Acta 1988, 27(1):31-38.
27. Chhabra R.P., Comiti J., Machač I. Flow of non-Newtonian fluids in fixed and fluidised beds. Chem Eng Sci 2001, 56(1):1-27.
28. Chapuis R.P., Aubertin M. On the use of the Kozeny-Carman equation to predict the hydraulic conductivity of soils. Can Geotech J 2003, 40(3):616-628.
29. Jones W.M. The flow of dilute aqueous solutions of macromolecules in various geometries: IV. the Ergun and Jones equations for flow through consolidated beds. J Phys D Appl Phys 1976, 9(5):771-772.
30. Du Plessis J.P. Analytical quantification of coefficients in the Ergun equation for fluid friction in a packed bed. Transport Porous Media 1994, 16(2):189-207.
31. Stevenson P. Comment on " Physical insight into the Ergun and Wen & Yu equations for fluid flow in packed and fluidised beds" , by R.K. Niven. Chem Eng Sci 2003, 58(23):5379.
32. Pearson J.R.A., Tardy P.M.J. Models for flow of non-Newtonian and complex fluids through porous media. J Nonnewton Fluid Mech 2002, 102(2):447-473.
33. Pilitsis S., Beris A.N. Calculations of steady-state viscoelastic flow in an undulating tube. J Nonnewton Fluid Mech 1989, 31(3):231-287.
34. Cannella WJ, Huh C, Seright RS. Prediction of Xanthan rheology in porous media. SPE Annual Technical Conference and Exhibition, 2-5 October, Houston, Texas. SPE 18089;1988.
35. Sorbie K.S. Polymer-improved oil recovery 1991, Blakie and Son Ltd.
36. Sadowski T.J., Bird R.B. Non-Newtonian flow through porous media I. Theoretical. Trans Soc Rheol 1965, 9(2):243-250.
37. Duda J.L., Hang S., Klaus E.E. Flow of polymer solutions in porous media: inadequacy of the capillary model. Ind Eng Chem Fund 1983, 22(3):299-305.
38. Zaitoun A, Kohler N. Two-phase flow through porous media: effect of an adsorbed polymer layer. SPE Annual Technical Conference and Exhibition, 2-5 October, Houston, Texas. SPE 18085;1988.
39. Talwar K.K., Khomami B. Application of higher order finite element methods to viscoelastic flow in porous media. J Rheol 1992, 36(7):1377-1416.
40. Fadili A., Tardy P.M.J., Pearson J.R.A. A 3D filtration law for power-law fluids in heterogeneous porous media. J Nonnewton Fluid Mech 2002, 106(2):121-146.
41. Blunt M.J., Jackson M.D., Piri M., Valvatne P.H. Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow. Adv Water Res 2002, 25(8-12):1069-1089.
42. Lopez X., Valvatne P.H., Blunt M.J. Predictive network modeling of single-phase non-Newtonian flow in porous media. J Colloid Interface Sci 2003, 264(1):256-265.
43. Blunt M.J. Flow in porous media - pore-network models and multiphase flow. Colloid Inter Sci 2001, 6(3):197-207.
44. Sochi TM. Pore-scale modeling of non-Newtonian flow in porous media. PhD thesis, Imperial College London, 2007.
45. Sochi T. Pore-scale modeling of viscoelastic flow in porous media using a Bautista-Manero fluid. Int J Heat Fluid Flow 2009, 30(6):1202-1217.
46. Barnes H.A. A review of the slip (wall depletion) of polymer solutions, emulsions and particle suspensions in viscometers: its cause, character, and cure. J Nonnewton Fluid Mech 1995, 56(3):221-251.
47. Barnes H.A. The yield stress-a review or 'παντα ρe{open}ι'-everything flows?. J Nonnewton Fluid Mech 1999, 81(1):133-178.
48. Balmforth N.J., Craster R.V. Geophysical aspects of non-Newtonian fluid mechanics 2001, Springer.
49. Park HC, Hawley MC, Blanks RF. The flow of non-Newtonian solutions through packed beds. SPE 4722;1973.
50. Al-Fariss TF, Pinder KL. Flow of a shear-thinning liquid with yield stress through porous media. SPE 13840;1984.
51. Bear J. Dynamics of fluids in porous media 1972, American Elsevier.
52. Vradis G.C., Protopapas A.L. Macroscopic conductivities for flow of Bingham plastics in porous media. J Hydraulic Eng 1993, 119(1):95-108.
53. Liu S., Masliyah J.H. On non-Newtonian fluid flow in ducts and porous media - optical rheometry in opposed jets and flow through porous media. Chem Eng Sci 1998, 53(6):1175-1201.
54. Vikhansky A. Lattice-Boltzmann method for yield-stress liquids. J Nonnewton Fluid Mech 2008, 155(3):95-100.
55. Balhoff MT. Modeling the flow of non-Newtonian fluids in packed beds at the pore scale. PhD thesis, Louisiana State University, 2005.
56. Chen M., Yortsos Y.C., Rossen W.R. Insights on foam generation in porous media from pore-network studies. Colloids Surf A Physicochem Eng Asp 2005, 256(2-3):181-189.
57. Sheppard A.P., Knackstedt M.A., Sahimi M. Invasion percolation with long-range correlations: first-order phase transition and nonuniversal scaling properties. Phys Rev E 2000, 61(5):4920-4934.
58. Roux S., Hansen A. A new algorithm to extract the backbone in a random resistor network. J Phys A 1987, 20:L1281-L1285.
59. Kharabaf H., Yortsos Y.C. Invasion percolation with memory. Phys Rev 1997, 55(6):7177-7191.
60. Chen M., Rossen W.R., Yortsos Y.C. The flow and displacement in porous media of fluids with yield stress. Chem Eng Sci 2005, 60(15):4183-4202.
61. Chandler R., Koplik J., Lerman K., Willemsen J.F. Capillary displacement and percolation in porous media. J Fluid Mech 1982, 119:249-267.
62. Sahimi M. Applications of percolation theory 1994, Taylor and Francis.
63. Andrade J.S., Buldyrev S.V., Dokholyan N.V., Havlin S., King P.R., Lee Y., et al. Flow between two sites on a percolation cluster. Phys Rev E 2000, 62:8270-8281.
64. Selyakov V.I., Kadet V.V. Percolation models for transport in porous media with applications to reservoir engineering 1996, Kluwer Academic Publishers.
65. Rossen W.R., Gauglitz P.A. Percolation theory of creation and mobilization of foam in porous media. AIChE Journal 1990, 36(8):1176-1188.
66. Rossen W.R., Mamun C.K. Minimal path for transport in networks. Phy Rev B 1993, 47(18):11815-11825.
67. Boger D.V. Viscoelastic flows through contractions. Annu Rev Fluid Mech 1987, 19:157-182.
68. Wissler E.H. Viscoelastic effects in the flow of non-Newtonian fluids through a porous medium. Ind Eng Chem Fund 1971, 10(3):411-417.
69. Jones W.M., Ho S.P. The flow of dilute aqueous solutions of macromolecules in various geometries: VII. Mechanisms of resistance in porous media. J Phys D Appl Phys 1979, 12(3):383-393.
70. Marshall R.J., Metzner A.B. Flow of viscoelastic fluids through porous media. Ind Eng Chem Fund 1967, 6(3):393-400.
71. Dauben D.L., Menzie D.E. Flow of polymer solutions through porous media. J Petrol Technol 1967, 1065-1073. SPE 1688-PA.
72. Mendes PRS, Naccache MF. A constitutive equation for extensional-thickening fluids flowing through porous media. In: Proceedings of 2002 ASME International Mechanical Engineering Congress & Exposition, November 17-22, New Orleans, Louisiana, USA, 2002.
73. Plog JP, Kulicke WM. Flow behaviour of dilute hydrocolloid solutions through porous media. Influence of molecular weight, concentration and solvent. Institute of Technical and Macromolecular Chemistry, University of Hamburg.
74. Deiber J.A., Schowalter W.R. Modeling the flow of viscoelastic fluids through porous media. AIChE Journal 1981, 27(6):912-920.
75. Phan-Thien N., Khan M.M.K. Flow of an Oldroyd-type fluid through a sinusoidally corrugated tube. J Nonnewton Fluid Mech 1987, 24(2):203-220.
76. Cheng D.C.H., Heywood N.I. Flow in pipes. I. Flow of homogeneous fluids. Phy Technol 1984, 15(5):244-251.
77. Lodge A.S. Elastic liquids an introductory vector treatment of finite-strain polymer rheology 1964, Academic Press.
78. Crochet M.J., Walters K. Numerical methods in non-Newtonian fluid mechanics. Annu Rev Fluid Mech 1983, 15:241-260.
79. Gogarty WB, Levy GL, Fox VG. Viscoelastic effects in polymer flow through porous media. SPE 47th Annual fall meeting, 8-11 October, San Antonio, Texas. SPE 4025;1972.
80. Souvaliotis A., Beris A.N. Applications of domain decomposition spectral collocation methods in viscoelastic flows through model porous media. J Rheol 1992, 36(7):1417-1453.
81. Podolsak A.K., Tiu C., Fang T.N. Flow of non-Newtonian fluids through tubes with abrupt expansions and contractions (square wave tubes). J Nonnewton Fluid Mech 1997, 71(1):25-39.
82. Sadowski TJ. Non-Newtonian flow through porous media. PhD thesis, University of Wisconsin, 1963.
83. Savins J.G. Non-Newtonian flow through porous media. Ind Eng Chem 1969, 61(10):18-47.
84. Dullien F.A.L. Single phase flow through porous media and pore structure. Chem Eng J 1975, 10(1):1-34.
85. Bautista F., de Santos J.M., Puig J.E., Manero O. Understanding thixotropic and antithixotropic behavior of viscoelastic micellar solutions and liquid crystalline dispersions. I. The model. J Nonnewton Fluid Mech 1999, 80(2):93-113.
86. Tanner R.I. Engineering rheology 2000, Oxford University Press. 2nd ed.
87. Hirasaki GJ, Pope GA. Analysis of factors influencing mobility and adsorption in the flow of polymer solution through porous media. SPE 47th Annual Fall Meeting, 8-11 October, San Antonio, Texas. SPE 4026;1972.
88. Letelier M.F., Siginer D.A., Caceres C. Pulsating flow of viscoelastic fluids in straight tubes of arbitrary cross-section-Part I: longitudinal field. Int J Non-Linear Mech 2002, 37(2):369-393.
89. Escudier M.P., Presti F. Pipe flow of a thixotropic liquid. J Nonnewton Fluid Mech 1996, 62(2):291-306.
90. Dullaert K., Mewis J. Thixotropy: build-up and breakdown curves during flow. J Rheol 2005, 49(6):1213-1230.
91. Cheng D.C., Evans F. Phenomenological characterization of the rheological behaviour of inelastic reversible thixotropic and antithixotropic fluids. Br J Appl Phys 1965, 16(11):1599-1617.
92. Mewis J. Thixotropy - a general review. J Nonnewton Fluid Mech 1979, 6(1):1-20.
93. Joye D.D., Poehlein G.W. Characteristics of thixotropic behavior. J Rheol 1971, 15(1):51-61.
94. Billingham J., Ferguson J.W.J. Laminar, unidirectional flow of a thixotropic fluid in a circular pipe. J Nonnewton Fluid Mech 1993, 47:21-55.
95. Pritchard D., Pearson J.R.A. Viscous fingering of a thixotropic fluid in a porous medium or a narrow fracture. J Nonnewton Fluid Mech 2006, 135(2-3):117-127.
96. Godfrey J.C. Steady shear measurement of thixotropic fluid properties. Rheol Acta 1973, 12(4):540-545.