Research Papers: Petroleum Engineering

A Mechanistic Model of Predicting Solid Particle Erosion on the Symmetry Plane of Elbows for Annular Flow

[+] Author and Article Information
Rong Kang

State Key Laboratory of Hydraulic
Engineering Simulation and Safety,
Tianjin University,
Tianjin 300072, China
e-mail: kangrong@tju.edu.cn

Haixiao Liu

State Key Laboratory of Hydraulic
Engineering Simulation and Safety,
Tianjin University,
Tianjin 300072, China;
Collaborative Innovation Center for
Advanced Ship and Deep-Sea Exploration,
Shanghai Jiao Tong University,
Shanghai 200240, China
e-mail: liuhx@tju.edu.cn

1Corresponding author.

Contributed by the Petroleum Division of ASME for publication in the JOURNAL OF ENERGY RESOURCES TECHNOLOGY. Manuscript received February 12, 2018; final manuscript received December 8, 2018; published online January 9, 2019. Assoc. Editor: Esmail M. A. Mokheimer.

J. Energy Resour. Technol 141(3), 032907 (Jan 09, 2019) (12 pages) Paper No: JERT-18-1122; doi: 10.1115/1.4042232 History: Received February 12, 2018; Revised December 08, 2018

In the transportation process of oil and gas, solid particle erosion in pipelines is an inevitable problem. The erosion usually occurs in fittings with changing flow directions, such as elbows. A theoretical model based on mechanism analyses is developed for predicting the solid particle erosion on the symmetry plane of elbows for annular flow. This model is a sort of generalized erosion prediction procedure, which resolves the erosion process into the description of the flow field velocity profile, particle motion rules, and penetration calculation. The 1/7th power law is adopted to represent the velocity profile of gas core, and a linear velocity profile is assigned to the liquid film. The trajectories of particles in the gas core and the liquid film are discretized, and a mathematical model is developed by analyzing external forces acting on particles. The impact speeds and angles of particles can be obtained from the mathematical model, and the penetration ratios are then estimated by incorporating the impingement information of particles into the erosion formulas. By contrast with experimental data, the mechanistic model is validated and indicates advantages in both accuracy and efficiency. Furthermore, the effects of different parameters on penetration ratios are discussed in detail, including the superficial gas velocity, superficial liquid velocity, pipe diameter, particle diameter, curvature radius, and liquid viscosity.

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Grahic Jump Location
Fig. 1

Schematic of annular flow in a 90 deg elbow

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Fig. 2

Schematic of the cushion effect of the liquid film

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Fig. 3

Schematic of the particle motion state in the elbow

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Fig. 4

Components of particle velocity, fluid velocity, relative velocity, and particle external forces at point Ai

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Fig. 5

Comparison of predicted values with experimental data [3134]

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Fig. 6

Pipe flow pattern map [39]

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Fig. 7

Comparison of experimental erosion data with predicted results

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Fig. 8

Comparison of the present model and the correlation of Liu et al. [42]

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Fig. 9

Effects of parameters on the erosion prediction: (a) predicted erosion versus superficial gas velocity; (b) predicted erosion versus superficial liquid velocity; (c) predicted erosion versus particle diameter; (d) predicted erosion versus pipe diameter; (e) predicted erosion versus curvature radius; and (f) predicted erosion versus liquid viscosity



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