Abstract
A two-equation turbulence model has been developed for predicting two-phase flow. The two equations describe the conservation of turbulence kinetic energy and dissipation rate of that energy for the incompressible carrier fluid in a two-phase flow. The continuity, the momentum, K and ε equations are modeled. In this model, the solid-liquid slip velocities, the particle-particle interactions and the interactions between two phases are considered. The sandy water pipe turbulent flows are successfully predicted by this turbulence model.
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References
S. Yuu, et al., Particle turbulent diffusion in a dust laden jet, A. I. Ch. E. J., 24, 3 (1978), 409–519.
H. Danon, M. Wolfshtein and G. Hestsroni, Numerical calculations of two-phase turbulent round jet, Internat. J. Multiphase Flow, 3, (1977), 223–224.
Zh. D. Genchev and D. S. Karpuzov, Effects of the motion of the dust particle on turbulence transport equation, J. Fluid Mech., 101, 4 (1980), 833–842.
Liu Dayou, Set up the equation for two-phase flows by the method of kinetic theory, Acta Mechanica Sinica, 19, 3 (1987), 213–221.
Cai Shutang et al., Fundamental equations of turbulent two-phase flow, Appl. Math. and Mech. (English Ed.), 7, 6 (1986), 515–524.
M. A. Rizk and S. E. Elghobashi, The motion of a spherical particle suspended in a turbulent flow near a plane wall, Phys. Fluids, 28, 3 (1985), 806–811.
H. Ounis and G. Ahmadi, On the motion of small rigid particle in simulated random velocity field, J. Eng. Mech., 115 (1989), 2107–2114.
Liu Xiaobing, et al., Analysing the motion particle in turbulent flows by Lagrange's method, J. Huazhong Univ. of Sci. and Tech., 22 10 (1994), 1–6. (in Chinese)
R. L. Peskin, The diffusivity of small suspended particle in turbulent fluids, The Int. Conference on the A. I. Ch. E., Baltimore, Maryland (1962).
Launder, et al., Progress in the development of a Raynolds-stress turbulence closure, J. Fluid Mech., 68, 3 (1975), 537–566.
S. V. Partarkar, Numerical Heat Transfer and Fluid Flow, Hemisphere, New York (1980).
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Communicated by Chien Weizang
Project supported by the National Educational Committec Foundation of China
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Xiaobing, L., Liangjun, C. A K-ε two-equation turbulence model for the solid-liquid two-phase flows. Appl Math Mech 17, 523–531 (1996). https://doi.org/10.1007/BF00119749
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DOI: https://doi.org/10.1007/BF00119749