Akhshik, S., M. Behzad and M. Rajabi (2016). CFD-DEM simulation of the hole cleaning process in a deviated well drilling: The effects of particle shape. Particuology 25(02), 72-82.##
Akhshik, S. and M. Rajabi (2021). Simulation of proppant transport at intersection of hydraulic fracture and natural fracture of wellbores using CFD-DEM. Particuology 63, 112-124.##
Bernt, O. J. and O. S. Bengt (1972). Determination of young's modulus and poisson’s ratio for WC-Co alloys by the finite element method. Materials Science and Engineering 9, 217-222.##
Cao, L., S. Liu, P. Hu and H. Si (2020). The influence of governing valve opening on the erosion characteristics of solid particle in steam turbine. Engineering Failure Analysis 118, No.104929.##
Charles, A. L., K. Chelvakumar, C. E. Brennen and A. J. Acosta (1981). Synfuel systems. a review of letdown devices and other multiphase flow problems. california institute of technology.##
Chen, J., Y. Wang, X. Li, R. He and Y. Chen (2015). Erosion prediction of liquid-particle two-phase flow in pipeline elbows via CFD–DEM coupling method. Powder Technology 275, 182-187.##
Chen, X. Z. and J. W. Wang (2014). A comparison of two-fluid model, dense discrete particle model and CFD-DEM method for modeling impinging gas-solid flows. Powder Technology 254, 94–102.##
Chu, Y., Z. Yuan and W. Chang (2020). Research on the Dynamic Erosion Wear Characteristics of a Nozzle Flapper Pressure Servo Valve Used in Aircraft Brake System. Mathematical Problems in Engineering.##
Darihaki, F., E. Hajidavalloo, A. Ghasemzadeh and G. A. Safian (2017). Erosion prediction for slurry flow in choke geometry. Wear 372-373, 42-53.##
Du, H., Q. B. Wu, H. Chen and L. Wang (2014). The Design and Analysis of Novel High-Flow Filling Valve based on Multi-Stage Hydraulic Resistance and Compound Flow Channels. International Journal of Control & Automation 7(9), 433-450.##
Jin, H., Z. Zheng, G. Ou, L. Zhang, J. Rao, G. Shu and C. Wang (2015). Failure analysis of a high-pressure differential regulating valve in coal liquefaction. Engineering Failure Analysis 55, 15-130.##
Johnson, K. L. (1985). Contact Mechanics. Cambridge University Press, Cambridge, England.##
Krishnan, R. P. (1984). Assessment of slurry pressure letdown valve and slurry block valve technology for direct coal liquefaction demonstration and pioneer commercial plants.##
Landau, L. D. and E. M. Lifshitz (1970). Theory of Elasticity. Pergamon Press, New York.##
Lin, Z., X. Sun, T. Yu, Y. Zhang, Y. L. Li and Z. Zhu (2020). Gas–solid two-phase flow and erosion calculation of gate valve based on the CFD-DEM model. Powder Technology 366, 395-407.##
Liu, B., J. Zhao and J. Qian (2017). Numerical analysis of cavitation erosion and particle erosion in butterfly valve. Engineering Failure Analysis 80, 312-324.##
Liu, J. G., G. S. Wang, T. H. Peng, and S. Q. Jiang (2019). Numerical Simulation of Solid Particle Erosion in Aluminum Alloy Spool Valve. Mathematical Problems in Engineering 2, 1-16.##
Liu, X. F., J. F. Zhou, S. Q. Gao, H. L. Zhao, Z. Y. Liao, H. Z. Jin and C. Wang (2022). Study on the Impact Wear Characteristics of Catalyst. Journal of Applied Fluid Mechanics 15(1), 221-230.##
Mansouri, A. (2016). A Combined CFD-Experimental Method for Developing an EROSION Equation for both Gas-Sand and Liquid-Sand Flows, PhD Dissertation, Department of Mechanical Engineering, The University of Tulsa.##
McLaury, B. S. (1996). Predicting solid particle erosion resulting from turbulent fluctuations in oilfield geometries, PhD Dissertation, Mechanical Engineering, University of Tulsa.##
Messa, G. V., G. Ferrarese and S. Malavasi (2015). A mixed Euler–Euler/Euler–Lagrange approach to erosion prediction. Wear 342-343, 138-153.##
Mindlin, R. D. (1949). Compliance of Elastic Bodies in Contact. Journal of Applied Mechanics 16, 259-268.##
Morsi, S. A. and A. J. Alexander, (1972). An investigation of particle trajectories in two-phase flow systems. Journal of Fluid Mechanics 55(2), 193-208.##
Paggiaro, R., J. D. Friedemann, E. Gharaibah and Y. Zhang (2013). Prediction of Sand Erosion in Choke Valves - CFD Model Development and Validation against Experiment. offshore technology conference Brasil.##
Qian, J. Y., M. Zhang, L. N. Lei, F. Q. Chen, L. L. Chen, L. Wei and Z.J. Jin (2016). Mach number analysis on multi-stage perforated plates in high pressure reducing valve. Energy Conversion and Management 119, 81-90.##
Varga, M., C. Goniva, K. Adam and E. Badisch (2013). Combined experimental and numerical approach for wear prediction in feed pipes. Tribology International 65(3), 200-206.##
Wang, C., A. Q. Duan and K. N. Bi (2021). Experiment on Erosion Wear Characteristic of NiWC35 Coating and Sintered WC under High-Speed Impacting of Solid Particle. Journal of Applied Fluid Mechanics 14(4), 1125-1136.##
Wang, G. R., F. Chu, S. Tao, L. Jiang and H. Zhu (2015). Optimization design for throttle valve of managed pressure drilling based on CFD erosion simulation and response surface methodology. Wear 338-339, 114-121.##
Wang, H. M., Y. Zhao, J. X. Wang, X.S. Kong, H. Liu, K.L. Li and X. F. Wang (2016). Numerical simulation of flow characteristics for a labyrinth passage in a pressure valve. Journal of Hydrodynamics, Ser. B, 28(4), 629-636.##
Yan, H., J. Li, C. Cai and Y. Ren (2020). Numerical Investigation of Erosion Wear in the Hydraulic Amplifier of the Deflector Jet Servo Valve. Applied Sciences 10(4), 1299.##
Zheng, S., M. Luo, K. Xu, X. Li and Z. Liu (2019). Case study: Erosion of an axial flow regulating valve in a solid-gas pipe flow. Wear 434-435, No.20952.##
Zheng, Z., G. Ou, Y. Yi, G. Shu and H. Ye (2016). A combined numerical-experiment investigation on the failure of a pressure relief valve in coal liquefaction. Engineering Failure Analysis 60, 326-340.##
Zhou, J. W., Y. Liu, S. Y. Liu, C. L. Du and J. P. Li (2017). Effects of particle shape and swirling intensity on elbow erosion in dilute-phase pneumatic conveying. Wear 380-381, 66-77. ##
)
