Laminar, transitional and turbulent flow of Herschel-Bulkley fluids in concentric annulus

Canadian Journal of Chemical Engineering

Volumn 86, Issue 4, 2008, Pages 676-683

  Founargiotakis, K ^a   Kelessidis, V C ^a   Maglione, R ^b  

^a TECHNICAL UNIVERSITY OF CRETE   (Greece)

^b Consultant ^*  (Italy)

Author keywords

Flow in annulus; Herschel Bulkley fluid; Laminar; Transitional; Turbulent flow

Indexed keywords

AERODYNAMICS; FLUID DYNAMICS; LAMINAR FLOW; MIXED CONVECTION; PROBABILITY DENSITY FUNCTION; REYNOLDS NUMBER; TURBULENT FLOW;

ANALYTICAL SOLUTIONS; CONCENTRIC ANNULUSES; CONSISTENT SETS; EMPIRICAL EQUATIONS; FLOW EQUATIONS; FLOW GEOMETRIES; FLOW IN ANNULUS; FLOW TYPES; FRICTION FACTORS; HERSCHEL; HERSCHEL-BULKLEY FLUID; INTEGRATED APPROACHES; LAMINAR; LOCAL POWER LAWS; RHEOLOGICAL PARAMETERS; TRANSITIONAL; TRANSITIONAL FLOWS;

TURBULENCE;

EID: 54949108679     PISSN: 00084034     EISSN: None     Source Type: Journal    
DOI: 10.1002/cjce.20074     Document Type: Article

References (50)

1. Bailey, W. J. and J. M. Peden, "A Generalized and Consistent Pressure Drop and Flow Regime Transition Model for Drilling Hydraulics," SPE Drill. Completion 15, 44-56 (2000).
2. Becker, T. E., R. G. Morgan, W. C. Chin and J. E. Griffith, "Improved Rheology Model and Hydraulic Analysis for Tomorrow's Wellbore Fluid Applications," Paper SPE 84215 presented at the SPE Productions and Operations Symposium, Oklahoma City, OK (2003).
3. Bingham, E. C., "Fluidity and Plasticity," McGraw-Hill, New York (1922).
4. Bird, R. B., G. C. Dai and B. J. Yarusso, "The Rheology and Flow of Viscoplastic Materials," Rev. Chem. Eng. 1, 1-70 (1983).
5. Bourgoyne, A. T., M. E. Chenevert, K. K. Millheim and F. S. Young, Jr., "Applied Drilling Engineering," SPE Textbook Series, Richardson TX (1991).
6. Buchtelova, M., Comments on "The Axial Laminar Flow of Yield-Pseudoplastic Fluids in a Concentric Annulus," Ind. Eng. Chem. Res. 27, 1557-1558 (1988).
7. Chin, W. C., "Computational Rheology for Pipeline and Annular Flow," Gulf. Pub. Co., Boston (2001).
8. David, J. and P. Filip, "Relationship of Annular and Parallel-Plate Poiseuille Flows for Power Law Fluids," Polym. Plast. Technol. Eng. J. 34, 947-960 (1995).
9. Dodge, D. W. and A. B. Metzner, "Turbulent Flow in Non-Newtonian Systems," AIChE J. 5, 189-204 (1959).
10. Escudier, M. P., P. J. Oliveira and F. T. Pinho, "Fully Developed Laminar Flow of Purely Viscous Non-Newtonian Liquids Through Annuli, Including the Effects of Eccentricity and Inner-Cylinder Rotation," Int. J. Heat Fluid Flow 23, 52-73 (2002a).
11. Escudier, M. P., P. J. Oliveira and F. T. Pinho, "Fully Developed Laminar Flow of Non-Newtonian Liquids Through Annuli: Comparison of Numerical Calculations with Experiments," Exp. Fluids 33, 101-111 (2002b).
12. Fang, P., R. M. Manglik and M. A. Jog, "Characteristics of Laminar Viscous Shear-Thinning Fluid Flows in Eccentric Annular Channels," J. Non-Newtonian Fluid Mech. 84, 1-17 (1999).
13. Filip, P. and J. David, "Axial Couette-Poiseuille Flow of Power-Law Viscoplastic Fluids in Concentric Annuli," J. Petr. Sci. Eng. 40, 111-119 (2003).
14. Fordham, E. J., S. H. Bittleston and M. A. Tehrani, "Viscoplastic Flow in Centered Annuli, Pipes and Slots," IEC Res. 29, 517-524 (1991).
15. Fredrickson, A. G. and R. B. Bird, "Flow of Non-Newtonian Fluids in Annuli," Ind. Eng. Chem. 50, 347-352 (1958).
16. Govier, G. W. and K. Aziz, "The Flow of Complex Mixtures in Pipes," Krieger, Malabar, FL (1972).
17. Grinchik, I. P. and A. K. Kim, "Axial Flow of a Non-Linear Viscoplastic Fluid Through Cylindrical Pipes," J. Eng. Phys. 23, 1039-1041 (1974).
18. Gucuyener, H. I. and T. Mehmetoglu, "Flow of Yield-Pseudoplastic Fluids Through a Concentric Annulus," AIChE J. 38, 1139-1143 (1992).
19. Guillot, D., "Rheology of Well Cementing Slurries," in E.B. Nelson, Ed., "Well Cementing," Schlumberger Educational Services, Houston (1990) pp. 4.01-37.
20. Guillot, D. and J. D. Dennis, "Prediction of Laminar and Turbulent Friction Pressures of Cement Slurries in Pipes and Centered Annuli," Paper SPE 18377 presented at the European Petroleum Conference, London, 18-19 October (1988).
21. Haciislamoglu, N. and J. Langlinais, "Non-Newtonian Flow in Eccentric Annuli," J. Energy Res. Tech. 112, 163-169 (1990).
22. Hanks, R. W., "The Axial Flow of Yield-Pseudoplastic Fluids in a Concentric Annulus," Ind. Eng. Chem. Process Des. Dev. 18, 488-493 (1979).
23. Hansen, S. A., R. Rommetveit, N. Sterri, B. Aas and A. Merlo, "A New Hydraulic Model for Slim Hole Drilling Applications," Paper SPE 57579 presented at the SPE/IADC Middle East Drilling Technology Conference, Abu Dhabi, 8-10 November (1999).
24. Harnett, J. P. and M. Kostic, "Turbulent Friction Factor Correlations for Power Law Fluids in Circular and Non-Circular Channel," Int. Commun. Heat Mass Trans. 17, 59-65 (1990).
25. Hemphil, T., W. Campos and M. A. Tehrani, "Yield Power Law Model Mode Accurately Predicts Mud Rheology," Oil Gas J. 91, 45-50 (1993).
26. Herschel, W. H. and R. Bulkley, "Konsistenzmessungen von Gummi-Benzollosungen," Kolloid Z. 39, 291-300 (1926).
27. Heywood, N. I. and D. Ch. Cheng, "Comparison of Methods for Predicting Head Loss in Turbulent Pipe Flow of Non-Newtonian Fluids," Trans. Inst. M.C. 6, 33-45 (1984).
28. Hussain, Q. E. and M. A. R. Sharif, "Viscoplastic Fluid Flow in Irregular Eccentric Annuli due to Axial Motion of the Inner Pipe," Can. J. Chem. Eng. 75, 1038-1045 (1997).
29. Hussain, Q. E. and M. A. R. Sharif, "Numerical Modeling of Helical Flow of Viscoplastic Fluids in Eccentric Annuli," AIChE J. 46, 1937-1946 (2000).
30. Kelessidis, V. C., A. Mihalakis and C. Tsamantaki, "Rheology and Rheological Parameter Determination of Bentonite-Water and Bentonite-Lignite- Water Mixtures at Low and High Temperatures," Proceedings of the 7th World Congress of Chem. Engr., Glasgow (2005).
31. Kelessidis, V. C., R. Maglione, C. Tsamantaki and Y. Aspirtakis, "Optimal Determination of Rheological Parameters for Herschel-Bulkley Drilling Fluids and Impact on Pressure Drop, Velocity Profiles and Penetration Rates during Drilling," J. Petrol. Sci. Eng. 53, 203-224 (2006).
32. Kelessidis, V. C., G. Christidis, P. Makri, V. Hadjistamou, C. Tsamantaki, A. Mihalakis, C. Papanikolaou and A. Foscolos, "Gelation of Water-Bentonite Suspensions at High Temperatures and Rheological Control with Lignite Addition," Appl. Clay Sci. 36, 221-231 (2007).
33. Langlinais, J. P., A. T. Bourgoyne and W. R. Holden, "Factional Pressure Losses for the Flow of Drilling Mud and Mud/Gas Mixtures," Paper SPE 11993 presented at the 58th Annual Technical Conference and Exhibition, San Francisco, CA, 5-8 October (1983).
34. Maglione, R. and G. Ferrario, "Equations Determine Flow States for Yield-Pseudoplastic Drilling Fluids," Oil Gas J. 94, 63-66 (1996).
35. Maglione, R., A. Guarneri and G. Ferrari, "Rheologie and Hydraulic Parameter Integration Improves Drilling Operations," Oil Gas J. 97, 44-48 (1999).
36. Maglione, R., G. Robotti and R. Romagnoli, "In-Situ Rheological Characterization of Drilling Mud," SPE J. 5, 377-386 (2000).
37. Merlo, A., R. Maglione and C. Piatti, "An Innovative Model for Drilling Fluid Hydraulics," Paper SPE 29259 presented at the Asia Pacific Oil & Gas Conf., Kuala-Lumpur, Malaysia (1995).
38. Metzner, A. B. and J. C. Reed, "Flow of Non-Newtonian Fluids-Correlations of the Laminar, Transition and Turbulent-Flow Regions," AIChE J. 1, 434-440 (1955).
39. Meuric, O. F. J., R. J. Wakeman, T. W. Chiu and K. A. Fisher, "Numerical Flow Simulation of Viscoplastic Fluids in Annuli," Can. J. Chem. Eng. 76, 27-40 (1998).
40. Nguyen, Q. D. and D. V. Boger, "Measuring the Flow Properties of Yield Stress Liquids," Ann. Rev. Fluid Mech. 24, 47-88 (1987).
41. Okafor, M. N. and J. F. Evers, "Experimental Comparison of Rheology Models for Drilling Fluids," Paper SPE 24086 presented at the Western Regional Meeting, Bakersfield, OK, 30 March-11 April (1992).
42. Rabinowitch, B., "On the Viscosity and Elasticity of Sols," Z. Phisik. Chem. 1, 1-26 (1929).
43. Reed, T. D. and A. A. Pilehvari, "A New Model for Laminar, Transitional and Turbulent Flow of Drilling Muds," Paper SPE 25456 presented at the Productions Operations Symposium, Oklahoma City, OK, 21-23 March (1993).
44. Round, G. F. and S. Yu, "Entrance Laminar Flows of Viscoplastic Fluids in Concentric Annuli," Can. J. Chem. Eng. 71, 642-645 (1993).
45. Siginer, D. A. and S. L. Bakhtiyarov, "Flow of Drilling Fluids in Eccentric Annuli," J. Non-Newtonian Fluid Mech. 78, 119-132 (1998).
46. Skelland, A. H. P., "Non-Newtonian Flow and Heat Transfer," John Wiley, New York (1967).
47. Subramanian, R. and J. J. Azar, "Experimental Study on Friction Pressure Drop for Non-Newtonian Drilling Fluids in Pipes," Paper SPE 64647 presented at the SPE International Conference and Exhibition, Beijing, China, 7-10 November (2000).
48. Szabo, P. and O. Hassager, "Flow of Viscoplastic Fluids in Eccentric Annular Geometries," J. Non-Newton. Fluid Mech. 45, 149-169 (1992).
49. Walton, I. C. and S. H. Bittleston, "The Axial-Flow of a Bingham Plastic in a Narrow Eccentric Annulus," J. Fluid Mech. 222, 39-60 (1991).
50. Yang, L. and G. A. Chukwu, "A Simplified Couette-Flow Solution of Non-Newtonian Power-Law Fluids in Eccentric Annuli," Can. J. Chem. Eng. 73, 241-247 (1995).