Abstract
An analysis is performed of equilibrium solutions of equations for the second moments of fluctuations of the velocity and temperature of particles in a homogeneous shear flow, in a homogeneous flow subjected to tensile or compressive strain, and in a wall layer. The stability of equilibrium solutions to small perturbations is investigated. Algebraic models are given for turbulent stresses in the dispersed phase.
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REFERENCES
Derevich, I.V. and Zaichik, L.I., Prikl. Mat. Mekh., 1990, vol. 54,no. 5, p. 767.
Simonin, O., Second-Moment Prediction of Dispersed Phase Turbulence in Particle-Laden Flows, Proc. 8th Symp. on Turbulent Shear Flows, Munich, 1991, p. 741.
Reeks, M.W., Phys. Fluids A, 1993, vol. 5,no. 3, p. 750.
Taulbee, D.B., Mashayek, F., and Barré, C., Int. J. Heat Fluid Flow, 1999, vol. 20, p. 368.
Lain, S. and Kohnen, G., Comparison between Eulerian and Lagrangian Strategies for the Dispersed Phase in Nonuniform Turbulent Particle-Laden Flows, Proc. 1st Int. Symp. on Turbulence and Shear Flow Phenomena, Santa Barbara, 1999, p. 277.
Rodi, W., Z. Angew. Math. Mech., 1976, vol. 56, p. 219.
Gatski, T.B. and Speziale, C.G., J. Fluid Mech., 1993, vol. 254, p. 59.
Zaichik, L.I. and Alipchenkov, V.M., Teplofiz. Vys. Temp., 1998, vol. 36,no. 4, p. 596 (High Temp. (Engl. transl.), vol. 36, no. 4, p. 572).
Zaichik, L.I., Phys. Fluids, 1999, vol. 11,no. 6, p. 1521.
Durbin, P.A., Phys. Fluids A, 1993, vol. 5,no. 5, p. 1231.
Lee, W.G. and Chung, M.K., Phys. Fluids, 1995, vol. 7,no. 11, p. 2807.
Tavoularis, S. and Karkin, U., J. Fluid Mech., 1989, vol. 204, p. 457.
Van Slooten, P.R. and Pope, S.B., Phys. Fluids, 1997, vol. 9,no. 4, p. 1085.
Simonin, O., Deutsch, E., and Boivin, M., Large Eddy Simulation and Second-Moment Closure Model of Particle Fluctuating Motion in Two-Phase Turbulent Shear Flows, in Turbulent Shear Flow 9, Springer, 1995, p. 85.
Fevrier, P. and Simonin, O., Constitutive Relations for Fluid-Particle Velocity Correlations in Gas-Solid Turbulent Flows, Proc. 3rd Int. Conf. on Multiphase Flow, Lyons, 1998.
Tavoularis, S. and Corrsin, S., J. Fluid Melch., 1981, vol. 104, p. 311.
Moissette, S., Oesterlé, B., and Boulet, P., Int. J. Heat Fluid Flow, 2000, vol. 22,no. 3, p. 220.
Mashayek, F., Barré, C., and Taulbee, D.B., Direct Numerical Simulation of Particle-Laden Homogeneous Plane Strain Turbulent Flow, Proc. 1st Symp. on Turbulence and Shear Flow Phenomena, Santa Barbara, 1999, p. 115.
Laufer, J., Investigation of Turbulent Flow in a Two-Dimensional Channel, NACA Report 1053, 1951.
Wang, Q. and Squires, K.D., Phys. Fluids, 1996, vol. 8,no. 5, p. 1207.
Zaichik, L.I., Inzh. Fiz. Zh., 1992, vol. 63,no. 4, p. 404.
Wallin, S. and Johansson, A.V., J. Fluid Mech., 2000, vol. 403, p. 89.
Simonin, O. and Viollet, P.L., Modelling of Turbulent Two-Phase Jets Loaded with Discrete Particles, in Phase-Interface Phenomena in Multiphase Flow, New York: Hemisphere, 1990, p. 259.
Vinberg, A.A., Zaichik, L.I., and Pershukov, V.A., Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza, 1992, no. 3, p. 69.
Speziale, C.G., J. Fluid Mech., 1987, vol. 178, p. 459.
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Zaichik, L.I., Alipchenkov, V.M. Simulation of Second Moments of Fluctuations of the Velocity and Temperature of Particles in Equilibrium Turbulent Flows. High Temperature 39, 694–702 (2001). https://doi.org/10.1023/A:1012329026891
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DOI: https://doi.org/10.1023/A:1012329026891