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Research Papers: Petroleum Engineering

Annular Flow Characteristics of Pseudoplastic Fluids

[+] Author and Article Information
Idowu T. Dosunmu

Well Construction Technology Center (WCTC),
Mewbourne School of Petroleum
and Geological Engineering,
The University of Oklahoma,
SEC-1210 Sarkeys Energy Center,
100 E. Boyd Street,
Norman, OK 73019

Subhash N. Shah

Stephenson Chair Professor
Mewbourne School of Petroleum
and Geological Engineering,
The University of Oklahoma,
SEC-1210 Sarkeys Energy Center,
100 E. Boyd Street,
Norman, OK 73019

Contributed by the Petroleum Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received February 11, 2014; final manuscript received March 9, 2015; published online April 8, 2015. Editor: Hameed Metghalchi.

J. Energy Resour. Technol 137(4), 042903 (Jul 01, 2015) (5 pages) Paper No: JERT-14-1043; doi: 10.1115/1.4030106 History: Received February 11, 2014; Revised March 09, 2015; Online April 08, 2015

In this paper, the problem of axial annular flow of non-Newtonian fluids is examined. By utilizing the slot analogy, a Fanning friction factor—Reynolds number relationship for a power law fluid was developed and presented. Good agreement over the entire range of flow regimes was obtained between model predictions and experimental data. The advantage of the proposed approach is that it eliminates the need to determine the dimensionless radial position of zero shear stress required to solve flow equations. Practical applications of this work include processes in the petroleum and chemical industries in which annular flow of non-Newtonian fluids is a common occurrence.

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References

Fredrickson, A. G., and Bird, R. B., 1958, “Non-Newtonian Flow in Annuli,” Ind. Eng. Chem., 50(3), pp. 347–352. [CrossRef]
Hanks, R. W., and Larsen, K. M., 1979, “The Flow of Power-Law Non-Newtonian Fluids in Concentric Annuli,” Ind. Eng. Chem. Fundam., 18(1), pp. 33–35. [CrossRef]
Hanks, R. W., 1979, “The Axial Laminar Flow of Yield-Pseudoplastic Fluids in a Concentric Annulus,” Ind. Eng. Chem. Process Des. Dev., 18(3), pp. 488–493. [CrossRef]
Gücüyener, H. I., and Mehmetoglu, T., 1992, “Flow of Yield-Pseudo-Plastic Fluids Through a Concentric Annulus,” AIChE J., 38(7), pp. 1139–1143. [CrossRef]
Nebrensky, J., and Ulbrecht, J., 1968, “Non-Newtonian Flow in Annular Ducts,” Collect. Czech. Chem. Commun., 33(2), pp. 363–375. [CrossRef]
Russell, C. P., and Christiansen, E. B., 1974, “Axial, Laminar, Non-Newtonian Flow in Annuli,” Ind. Eng. Chem. Process Des. Dev., 13(4), pp. 391–396. [CrossRef]
Haciislamoglu, M., and Langlinais, J., 1990, “Non-Newtonian Flow in Eccentric Annuli,” ASME J. Energy Resour. Technol., 112(3), pp. 163–169. [CrossRef]
Walton, I. C., and Bittleston, S. H., 1991, “The Axial Flow of a Bingham Plastic in a Narrow Eccentric Annulus,” J. Fluid Mech., 222, pp. 39–60. [CrossRef]
Vaughn, R. D., 1965, “Axial Laminar Flow of Non-Newtonian Fluids in Narrow Eccentric Annuli,” Soc. Pet. Eng. J., 5(4), pp. 277–280. [CrossRef]
Iyoho, A. W., and Azar, J. J., 1981, “An Accurate Slot-Flow Model for Non-Newtonian Fluid Flow through Eccentric Annuli,” Soc. Pet. Eng. J., 21(5), pp. 565–572. [CrossRef]
Mitsuishi, N., and Aoyagi, Y., 1973, “Non-Newtonian Fluid Flow in an Eccentric Annulus,” J. Chem. Eng. Jpn., 6(5), pp. 402–408. [CrossRef]
Haciislamoglu, M., and Cartalos, U., 1994, “Practical Pressure Loss Predictions in Realistic Annular Geometries,” Proceedings of the SPE Annual Technical Conference and Exhibition, New Orleans, LA.
Langlinais, J. P., Bourgoyne, A. T., and Holden, W. R., 1985, “Frictional Pressure Losses for Annular Flow of Drilling Mud and Mud-Gas Mixtures,” ASME J. Energy Resour. Technol., 107(1), pp. 142–151. [CrossRef]
Okafor, M. N., and Evers, J. F., 1992, “Experimental Comparison of Rheology Models for Drilling Fluids,” Proceedings of the SPE Western Regional Meeting, Bakersfield, CA.
Hansen, S. A., Rommetveit, R., Sterri, N., Aas, B., and Merlo, A., 1999, “A New Hydraulic Model for Slim Hole Drilling Applications,” Proceedings of SPE/IADC Middle East Drilling Technology Conference, Abu Dhabi, Paper No. SPE 57579.
Subramanian, R., 1995, “A Study of Pressure Loss Correlations of Drilling Fluids in Pipes and Annuli,” M.S., thesis, The University of Tulsa, Tulsa.
Kelessidis, V. C., Dalamarinis, P., and Maglione, R., 2011, “Experimental Study and Predictions of Pressure Losses of Fluids Modeled as Herschel–Bulkley in Concentric and Eccentric Annuli in Laminar, Transitional, and Turbulent Flows,” J. Pet. Sci. Eng., 77(3–4), pp. 305–312. [CrossRef]
Nouri, J. M., Umur, H., and Whitelaw, J. H., 1993, “Flow of Newtonian and Non-Newtonian Fluids in Concentric and Eccentric Annuli,” J. Fluid Mech., 253, pp. 617–641. [CrossRef]
Nouri, J. M., and Whitelaw, J. H., 1997, “Flow of Newtonian and Non-Newtonian Fluids in an Eccentric Annulus With Rotation of the Inner Cylinder,” Int. J. Heat Fluid Flow, 18(2), pp. 236–246. [CrossRef]
Escudier, M. P., Oliveira, P. J., and Pinho, F. T., 2002, “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(1), pp. 52–73. [CrossRef]
Wei, X., Miska, S. Z., Takach, N. E., Bern, P., and Kenny, P., 1998, “The Effect of Drillpipe Rotation on Annular Frictional Pressure Loss,” ASME J. Energy Resour. Technol., 120(1), pp. 61–66. [CrossRef]
Erge, O., Ozbayoglu, M. E., Miska, S. Z., Mengjiao, Y., Takach, N. E., Saasen, A., and May, R., 2014, “Effect of Drillstring Deflection and Rotary Speed on Annular Frictional Pressure Losses,” ASME J. Energy Resour. Technol., 136(4), p. 042909. [CrossRef]
Saasen, A., 2014, “Annular Frictional Pressure Losses During Drilling—Predicting the Effect of Drillstring Rotation,” ASME J. Energy Resour. Technol., 136(3), p. 034501. [CrossRef]
Mishra, P., and Mishra, I., 1976, “Flow Behavior of Power Law Fluids in an Annulus,” AIChE J., 22(3), pp. 617–619. [CrossRef]
David, J., and Filip, P., 1995, “Relationship of Annular and Parallel-Plate Poiseuille Flows for Power-Law Fluids,” Polym. Plast. Technol. Eng., 34(6), pp. 947–960. [CrossRef]
Dodge, D. W., and Metzner, A. B., 1959, “Turbulent Flow of Non-Newtonian Systems,” AIChE J., 5(2), pp. 189–204. [CrossRef]
Langlinais, J. P., Bourgoyne, A. T., and Holden, W. R., 1983, “Frictional Pressure Losses for the Flow of Drilling Mud and Mud/Gas Mixtures,” Proceedings of SPE Annual Technical Conference and Exhibition, San Francisco, CA.
Ahmed, R., 2005, “Experimental Study and Modeling of Yield Power-Law Fluid Flow in Pipes and Annuli,” Report for The University of Tulsa, Drilling Research Projects (TUDRP), Tulsa, OK.
Pilehvari, A., and Serth, R., 2009, “Generalized Hydraulic Calculation Method for Axial Flow of Non-Newtonian Fluids in Eccentric Annuli,” SPE Drill. Completion, 24(4), pp. 553–563. [CrossRef]

Figures

Grahic Jump Location
Fig. 1

Predicted and measured frictional pressure loss data of Okafor and Evers [14]. Fluid data: ρ = 1072.3 kg/m3, n = 0.581, Kv = 0.371 Pa sn. Annulus dimension: 77.4 × 48.2 mm.

Grahic Jump Location
Fig. 2

Predicted and measured frictional pressure loss data of Okafor and Evers [14]. Fluid data: ρ = 1038.4 kg/m3, n = 0.163, Kv = 7.52 Pa sn. Annulus dimension: 77.4 × 48.2 mm.

Grahic Jump Location
Fig. 3

Predicted and measured frictional pressure loss data of Langlinais et al. [27]. Fluid data: ρ = 1056.4 kg/m3, n = 0.784, Kv = 0.0069 Pa sn. Annulus dimension: 62 × 33.4 mm.

Grahic Jump Location
Fig. 4

Predicted and measured frictional pressure loss data of Subramanian [16]. Fluid data: ρ = 1024 kg/m3, n = 0.602, Kv = 0.095 Pa sn. Annulus dimension: 127.6 × 60.3 mm.

Grahic Jump Location
Fig. 5

Predicted and measured frictional pressure loss data of Subramanian [16]. Fluid data: ρ = 1042 kg/m3, n = 0.488, Kv = 0.943 Pa sn. Annulus dimension: 127.6 × 60.3 mm.

Grahic Jump Location
Fig. 6

Predicted and measured frictional pressure loss data of Subramanian [16]. Fluid data: ρ = 1046.8 kg/m3, n = 0.397, Kv = 4.06 Pa sn. Annulus dimension: 127.6 × 60.3 mm.

Grahic Jump Location
Fig. 7

Comparison of predictions with experimental results of Ahmed [25] for XCD-PAC2. Fluid data: ρ = 1000 kg/m3, n = 0.305, Kv = 7.08 Pa sn. Annulus dimension: 35.05 × 17.27 mm.

Grahic Jump Location
Fig. 8

Comparison of predictions with experimental results of Ahmed [25] for XCD-PAC3. Fluid data: ρ = 1000 kg/m3, n = 0.489, Kv = 1.106 Pa sn. Annulus dimension: 35.05 × 12.70 mm.

Grahic Jump Location
Fig. 9

Slot flow approximation

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