Effects of solid particles with different concentrations on cavitation flow special development in the nozzle

Abstract

This paper studied effects of solid particles with different concentrations on cavitation flow special evolution in the nozzle. Solid particle concentration varied from 1% to 6% and the mean diameter increased from 0.0015 mm to 0.070 mm. Schnerr-Sauer cavitation model for pure water cavitation flow (PWCF) was modified to perform the numerical simulation of solid particle-water cavitation flow (SPWCF). Results indicated that SPWCF vapor content was greater than that in PWCF. Solid particles with various concentrations promoted cavitation flow evolution. With the increase in concentration, the promotion scope of the mean diameter became smaller gradually. SPWCF flow parameters and force acting on solid particles were discussed to reveal the mechanisms. The maximum and absolute minimum slip velocities were greater than corresponding ones of PWCF. The maximum and minimum turbulent kinetic energies were higher than those of PWCF. SPWCF mixture kinetic energy was higher than that of PWCF. They were primary factors to decrease the pressure to promote cavitation flow evolution. Magnitude of the calculated Saffman lift force was 10⁻²; the effects on cavitation flow evolution were relatively weak; it was the secondary factor. Interactions of these factors promoted the special evolution of SPWCF in the nozzle.

Keywords

solid particle-water cavitation flow / solid particle concentration / vapor content / slip velocity / turbulent kinetic energy

References

[1] ZhaoW, HanX, LiR, et al. . Effects of size and concentration of silt particles on flow and performance of a centrifugal pump under cavitating conditions [J]. Modern Physics Letters B, 2017, 31(34): 1750312

[2] SalehiM, EskandariM, YeganehM. Effects of microstructure and texture after thermomechanical treatments on corrosion behavior of AISI 321 pipeline austenitic stainless steel [J]. Journal of Central South University, 2022, 29113557-3580

[3] BaiL, ShaoF, MaQ, et al. . Mechanism of corrosion fatigue fracture of friction stir welding joints of 7075 aluminium alloy in 3.5% NaCl solution [J]. Journal of Central South University, 2022, 29(3): 1015-1028

[4] ShaoH, HuangY, WangY. Effect of ageing process on microstructure, corrosion behaviors and mechanical properties of Al−5.6Zn−1.6Mg−0.05Zr alloy [J]. Journal of Central South University, 2022, 29(3): 1029-1040

[5] HanX, KangY, ZhaoW, et al. . Silt particles affect cavitation flow: Analyzing variations in silt mean diameter and concentration [J]. Powder Technology, 2019, 356: 671-690

[6] ZhaoL, ZhouJ, ZhangZ, et al. . Fundamental role of surface roughness in bubble-particle interaction in flotation: A review [J]. Journal of Central South University, 2023, 30(9): 3021-3043

[7] CaupinF, HerbertE. Cavitation in water: A review [J]. Comptes Rendus Physique, 2006, 7(9–10): 1000-1017

[8] YaghoubiH, MadaniS A H, AlizadehM. Numerical study on cavitation in a globe control valve with different numbers of anti-cavitation trims [J]. Journal of Central South University, 2018, 25(11): 2677-2687

[9] LiuH, ShaoQ, KangC, et al. . Impingement capability of high-pressure submerged water jet: Numerical prediction and experimental verification [J]. Journal of Central South University, 2015, 22(10): 3712-3721

[10] CaoW, DaiX, HuQ. Effect of impeller reflux balance holes on pressure and axial force of centrifugal pump [J]. Journal of Central South University, 2015, 22(5): 1695-1706

[11] ZhuZ, LiY, LinZSolid-liquid two-phase flow in centrifugal pump [M], 2023, Singapore, Springer Singapore

[12] DingD, ChengK, LuX, et al. . Influence of particle size distribution in liquid-solid fluidized bed on particle flow characteristics based on DEM [J]. China Powder Science and Technology, 2018, 24(2): 18-25

[13] ZhouY, LiY, XuC, et al. . Numerical simulation of gas-solid two-phase jet classification of sepiolite particles [J]. China Powder Science and Technology, 2020, 26(4): 15-20

[14] PengD, ZhangK, ZhengW, et al. . Motion characteristics of spherical particle sedimentation in vertical pipe [J]. China Powder Science and Technology, 2020, 26(6): 31-36

[15] ZhangJ, YangF, CaoZ, et al. . In situ experimental study on TBM excavation with high-pressure water-jet-assisted rock breaking [J]. Journal of Central South University, 2022, 29(12): 4066-4077

[16] HuH X, ZhengY G. The effect of sand particle concentrations on the vibratory cavitation erosion [J]. Wear, 2017, 384–385: 95-105

[17] GouW, ZhangH, LiH, et al. . Effects of silica sand on synergistic erosion caused by cavitation, abrasion, and corrosion [J]. Wear, 2018, 412–413: 120-126

[18] ZhangJ, RichardsonM O W, WilcoxG D, et al. . Assessment of resistance of non-metallic coatings to silt abrasion and cavitation erosion in a rotating disk test rig [J]. Wear, 1996, 194(1–2): 149-155

[19] JinH, ZhengF, LiS, et al. . The role of sand particles on the rapid destruction of the cavitation zone of hydraulic turbines [J]. Wear, 1986, 112(2): 199-205

[20] SuK, XiaD, WuJ, et al. . Particle size distribution effects on cavitation erosion in sediment suspensions [J]. Wear, 2023, 518–519204629

[21] HuangS, IharaA, WatanabeH, et al. . Effects of solid particle properties on cavitation erosion in solid-water mixtures [J]. Journal of Fluids Engineering, 1996, 118(4): 749-755

[22] TeranL A, LaínS, RodríguezS A. Synergy effect modelling of cavitation and hard particle erosion: Implementation and validation [J]. Wear, 2021, 478–479203901

[23] Changjiang Water Resources Commission of the Ministry of Water ResourcesChangjiang sediment bulletin [M], 2022, Wuhan, Changjiang Press(in Chinese)

[24] HutchinsonJ SComputational fluid dynamics: Advances in research and applications [M], 2021, New York, Nova Science Publishers

[25] MenterF R. Two-equation eddy-viscosity turbulence models for engineering applications [J]. AIAA Journal, 1994, 32(8): 1598-1605

[26] SCHNERR G H, SAUER J. Physical and numerical modeling of unsteady cavitation dynamics [C]//Proceedings of the 4th International Conference on Multiphase Flow. Louisiana, USA, 2001.

[27] NurickW H. Orifice cavitation and its effect on spray mixing [J]. Journal of Fluids Engineering, 1976, 98(4): 681-687

[28] ANSYS Inc.ANSYS fluid dynamics verification manual [M], 2013, Canonsburg, ANSYS Inc.

[29] ZhaoW, HanX, ShengJ, et al. . Research on the effects of silt mean diameters and silt concentrations on the cavitation flow in a nozzle [J]. Journal of Shanghai Jiao Tong University, 2017, 51(11): 1399-1404(in Chinese)

[30] SaffmanP G. The lift on a small sphere in a slow shear flow [J]. Journal of Fluid Mechanics, 1965, 22(2): 385-400