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Research Papers: Multiphase Flows

Correlations for Prediction of Pressure Gradient of Liquid-Liquid Flow Through a Circular Horizontal Pipe

[+] Author and Article Information
Anjali Dasari, Anand B. Desamala

Department of Chemical Engineering,
Indian Institute of Technology Guwahati,
Guwahati, Assam 781039, India

Ujjal K. Ghosh

Department of Chemical Engineering,
Curtin University,
CDT 250,
Miri, Sarawak 98009, Malaysia

Ashok K. Dasmahapatra

Department of Chemical Engineering,
Indian Institute of Technology Guwahati,
Guwahati, Assam 781039, India
e-mail: akdm@iitg.ernet.in

Tapas K. Mandal

Department of Chemical Engineering,
Indian Institute of Technology Guwahati,
Guwahati, Assam 781039, India
e-mail: tapasche@iitg.ernet.in

1Corresponding authors.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received March 14, 2013; final manuscript received January 9, 2014; published online May 6, 2014. Assoc. Editor: Mark R. Duignan.

J. Fluids Eng 136(7), 071302 (May 06, 2014) (12 pages) Paper No: FE-13-1155; doi: 10.1115/1.4026582 History: Received March 14, 2013; Revised January 09, 2014

We report a detailed investigation on the measurement and prediction of pressure gradient characteristics of moderately viscous lubricating oil-water flow through a horizontal pipe of 0.025 m internal diameter. Experiments are carried out over a wide range of phase velocities of both oil (USO = 0.015–1.25 m/s) and water (USW  =  0.1–1.1 m/s). Experimental pressure gradients yield significant errors when fitted to the existing correlations, which are largely used for gas-liquid flow. To predict pressure gradient characteristics for liquid-liquid flow, the existing correlations need to be modified. We propose two correlations, based on the Lockhart–Martinelli's approach (by modifying the correlation between the Lockhart–Martinelli parameter and a two-phase multiplier suitable for the present system) and dimensionless analysis, following the Buckingham's Pi-theorem. We observe significant improvement in the prediction of pressure gradient. The correlation based on the dimensionless analysis predicts better with an average absolute error of 17.9%, in comparison with the modified Lockhart–Martinelli correlation, which yields an average error of 22%, covering all the flow patterns. The present analysis shows better prediction as compared to two-fluid model Zhang et al. (2012, “Modeling High-Viscosity Oil/Water Concurrent Flow in Horizontal and Vertical Pipes,” SPE J., 17(1), pp. 243–250) and Al-Wahaibi (2012, “Pressure Gradient Correlation for Oil-Water Separated Flow in Horizontal Pipes,” Exp. Therm. Fluid Sci., 42, pp. 196–203) work.

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Figures

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Fig. 1

Experimental setup

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Fig. 2

Variation of experimental pressure gradient with water cut (CW = USW/(USW+USO)) at different water superficial velocity

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Fig. 3

Relationship between two-phase multiplier (∅⁣W2) with Lockhart–Martinelli parameter (X) for laminar oil-turbulent water (l-t) region

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Fig. 4

(a) Comparison between predicted and experimental pressure gradient. (b) Comparison between predicted and experimental pressure gradient of Charles et al. [4] using modified Lockhart-Martinelli correlation. (c) Comparison between predicted and experimental pressure gradient of Valle and Kvandal [50]. using modified Lockhart–Martinelli correlation. (d) Comparison between predicted and experimental pressure gradient of Al-Yaari et al. [51] using modified Lockhart–Martinelli correlation. (e) Comparison between predicted and experimental pressure gradient of Trallero et al. [5] using modified Lockhart–Martinelli correlation. (f) Comparison between predicted and experimental pressure gradient of Rodriguez and Oliemans [27] using modified Lockhart–Martinelli correlation.

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Fig. 5

Comparison between predicted and experimental pressure gradient using Eq. (13)

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Fig. 6

Comparison between predicted and experimental pressure gradient using Al-Wahaibi [47] correlation

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Fig. 7

Comparison between predicted and experimental pressure gradient using two-fluid model [52]

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Fig. 8

Comparison between predicted and experimental pressure gradient using modified two-fluid model [32]

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