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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

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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