A K-? two-equation turbulence model for the solid-liquid two-phase flows

刘小兵,; 程良骏,; Liu, Xiaobing; Cheng, Liangjun

doi:10.1007/bf00119749

Cited by 4 publications

(2 citation statements)

References 6 publications

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“…Equations (1) and (2) can be authenticate by reference. 22 Where ϕ L is the volume fraction of liquid phase, ϕ S is the volume fraction of solid phase, U L is the velocity component of liquid phase, U S is the velocity component of solid phase, and x i is the coordinate component. If the liquid phase density and the solid phase density are ρ L and ρ S respectively, equations (3) and (4) can be obtained according to equations (1) and (2):…”

Section: Mathematical Modelmentioning

confidence: 99%

Study on the length of pipe inlet section of pulp fluid based on CFD

Gao

Jin

et al. 2020

Measurement and Control

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In the paper industry, to determine the installation positions of concentration sensor and flow sensor of pulp pipe transportation system, the length of pipe inlet section of pulp fluid must be determined. In order to solve the problem that it is difficult to determine the length of pipe inlet section of pulp fluid, the paper presents a method to determine the length of pipe inlet section of pulp fluid, and the relationship between the length of inlet section and pulp fluid parameters is studied by this method. Firstly, CFD (Computational Fluid Dynamics) method is applied to obtain flow velocity and solid phase concentration distribution data of pulp fluid at different axial positions in the pipe. Then, Pearson correlation coefficient method is applied to analyze these data. Finally, the length of pipe inlet section of pulp fluid is determined according to the obtained correlation coefficient, and the relationship between the length of pipe inlet section of pulp fluid and initial average flow velocity and solid phase concentration is obtained. The conclusion shows that the method can well obtain the length of pipe inlet section of pulp fluid, which provide some theoretical basis for the design of pulp pipe transportation system.

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Section: Mathematical Modelmentioning

confidence: 99%

Study on the length of pipe inlet section of pulp fluid based on CFD

Gao

Jin

et al. 2020

Measurement and Control

View full text Add to dashboard Cite

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“…Thus, the time-averaged continuity equations and momentum equations for solidliquid two-phase flows can be written as [16]:…”

Section: Mathematical Modelmentioning

confidence: 99%

Research on the Influence of Solid Volume Fractions on Turbine Performance

Wang¹

2016

IJHT

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The existence of sediment in water causes excessive abrasion of turbine blades and affects the performance of the turbine. It is important to predict the influence of solid volume fractions on turbine performance. The solid-liquid two-phase turbulent flow in a Francis turbine was numerically simulated by establishing a mathematical model for the flow passage of the turbine on the basis of the time-averaged basic equations and κ-ε equations. The turbulent flow in this turbine was calculated on the design point in clear water, as well as in sandy water with the average solid volume fractions of 0.5 % and 5 % at the inlet of the spiral case. The pressure distributions and sand concentrations on the leading side and suction side of the runner blades, as well as the velocities, turbulent kinetic energies and their dissipation rates on the horizontal section of runner were compared under these three conditions to illustrate the influences of the solid volume fractions on the turbine performance. The results show that with increasing solid volume fraction, the pressure difference on the leading side and suction side of the blade increased; the sand erosion on the leading side was much worse than that on the suction side, especially at the outlet area near the runner band; the velocity changes of sand particles and water were small at the outlet area, and the velocity of sand particles became smaller than that of water; the turbulent kinetic energy and its dissipation rate were slightly affected by the solid volume fractions. All of these factors lead to serious cavitation on the suction side and sand erosion on the leading side. The joint effect of cavitation and sand erosion will be aggravated with increasing solid volume fractions which will further reduce the performance of the turbine.

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