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Numerical analysis of gas-particle two-phase flows

Published online by Cambridge University Press:  26 April 2006

R. Ishii ,
Y. Umeda  and
M. Yuhi
R. Ishii
Affiliation:
Department of Aeronautics, Kyoto University, Kyoto 606, Japan
Y. Umeda
Affiliation:
Department of Aeronautics, Kyoto University, Kyoto 606, Japan
M. Yuhi
Affiliation:
Department of Aeronautics, Kyoto University, Kyoto 606, Japan
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Abstract

This paper is concerned with a numerical analysis of axisymmetric gas-particle two-phase flows. Underexpanded supersonic free-jet flows and supersonic flows around a truncated cylinder of gas-particle mixtures are solved numerically on the super computer Fujitsu VP-400. The gas phase is treated as a continuum medium, and the particle phase is treated partly as a discrete one. The particle cloud is divided into a large number of small clouds. In each cloud, the particles are approximated to have the same velocity and temperature. The particle flow field is obtained by following these individual clouds separately in the whole computational domain. In estimating the momentum and heat transfer rates from the particle phase to the gas phase, the contributions from these clouds are averaged over some volume whose characteristic length is small compared with the characteristic length of the flow field but large compared with that of the clouds. The results so obtained reveal that the flow characteristics of the gas-particle mixtures are widely different from those of the dust-free gas at many points.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 203 , June 1989 , pp. 475 - 515
Copyright
© 1989 Cambridge University Press

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References

Carlson, D. J. & Hoglund, R. F., 1973 Particle drag and heat transfer in rocket nozzles. AIAA J. 11, 1980.Google Scholar
Carrier, G. F.: 1958 Shock waves in a dusty gas. J. Fluid Mech. 4, 376.Google Scholar
Chorin, A. J.: 1976 Random choice solution of hyperbolic systems. J. Comput. Phys. 22, 517.Google Scholar
Chung, J. N. & Troutt, T. R., 1988 Simulation of particle dispersion in an axisymmetric jet. J. Fluid Mech. 186, 199.Google Scholar
Chuskin, P. I.: 1962 Investigation of flow round blunt bodies of revolution at supersonic velocities. Zh. Vych. Mat. mat. Fiz. 2, 255.Google Scholar
Collella, P. & Glaz, H. M., 1983 Efficient solution algorithm for the Riemann problem for real gases. Lawrence Berkeley Laboratory-15776.Google Scholar
Crowe, C. T.: 1982 Review - Numerical models for dilute gas-particle flows. Trans ASME I: J. Fluids Engng 104, 297.Google Scholar
Finley, P. J.: 1966 Jet opposing a supersonic free stream. J. Fluid Mech. 26, 337.Google Scholar
Forney, L. J. & McGregor, W. K., 1987 Particle sampling in supersonic streams with a thin walled cylindrical probe. AIAA J. 25, 1100.Google Scholar
Healy, J. V.: 1970 Two-phase convex-type corner flows. J. Fluid Mech. 41, 759.Google Scholar
Henderson, C. B.: 1976 Drag coefficient of spheres in continuum and rarefied flows. AIAA J. 14, 259.Google Scholar
Ishii, R. & Matsuhisa, H., 1983 Steady reflection, absorption and transmission of small disturbances by a screen of dusty gas. J. Fluid Mech. 130, 259.Google Scholar
Ishii, R. & Umeda, Y., 1987 Nozzle flows of gas-particle mixtures. Phys. Fluids 30, 752.Google Scholar
Israel, R. & Rosner, D. E., 1983 Use of a generalized Stokes number to determine the aerodynamic capture efficiency of non-Stokesian particles from a compressible gas flow. Aero. Sci. Technol. 2, 45.Google Scholar
Kendall, J. M.: 1959 Experiments on supersonic blunt-body flows. Jet. Prop. Lab. Progress Rep. 20–372.Google Scholar
Kobayashi, H., Nakagawa, T. & Nishida, M., 1984 Density measurements by laser interferometry. Proc. Intl Symp. of RGD (ed. H. Oguchi). University of Tokyo.
Kössel, D. & Müller, E. 1988 Numerical simulation of astrophysical jets: the influence of boundary conditions and grid resolution. Max-Planck-Institute Für Physik und Astrophysik 340.Google Scholar
Van Leer, B. 1979 Towards the ultimate conservative difference scheme. V. A second-order sequal to Godunov's method. J. Comput. Phys. 32, 101.Google Scholar
Love, E. S., Grigsby, C. E., Lee, L. P. & Roberts, W. W., 1959 Experimental and theoretical studies of axisymmetric free jets. NASA TN R-6.Google Scholar
Marble, F. E.: 1963 Nozzle contours for minimum particle-lag loss. AIAA J. 12, 2793.Google Scholar
Marble, F. E.: 1970 Dynamics of dusty gases. Ann. Rev. Fluid Mech. 2, 397.Google Scholar
Matsuda, T., Umeda, Y., Ishii, R., Yasuda, A. & Sawada, K., 1987 Numerical and experimental studies on chocked underexpanded jets. AIAA Paper 87–1378.Google Scholar
Maxey, M. R. & Riley, J. J., 1983 Equation of motion for a small rigid sphere in a nonuniform flow. Phys. Fluids 26, 883.Google Scholar
Michael, D. H. & Norey, P. W., 1969 Particle collision efficiency for a sphere. J. Fluid Mech. 37, 565.Google Scholar
Morsi, S. A. & Alexander, A. J., 1969 An investigation of particle trajectories in two-phase flow systems. J. Fluid Mech. 55, 193.Google Scholar
Norman, M. L., Smarr, L., Winkler, K. H. A. & Smith, M. D. 1982 Structure and dynamics of supersonic jets. Astron. Astrophys. 113, 285.Google Scholar
Powell, A.: 1953 On the mechanism of choked jet noise. Proc. Phys. Soc. B 66, 1039.Google Scholar
Probstein, R. F. & Fassio, F., 1970 Dusty hypersonic flows. AIAA J. 8, 772.Google Scholar
Romeo, P. J. & Sterrett, J. R., 1963 Exploratory investigation of the effect of a forward-facing jet in the bow shock of a blunt body in a Mach number 6 free stream. NASA TN D-1605.Google Scholar
Romeo, P. J. & Sterrett, J. R., 1965 Flow fluid for sonic jet exhausting counter to a hypersonic mainstream. AIAA J. 3, 544.Google Scholar
Rudinger, G.: 1969 Nonequilibrium Flows, vol. 1, p. 119. Dekker.
Saffman, P. G.: 1965 The lift on a small sphere in a slow shear flow. J. Fluid Mech. 22, 385.Google Scholar
Schmitt-von Schubert, B. 1969 Existence and uniqueness of normal shock waves in gas-particle mixtures. J. Fluid Mech. 38, 633.Google Scholar
Sugiyama, H.: 1983 Numerical analysis of dusty supersonic flow past blunt axisymmetric bodies. University of Toronto, Institute for Aerospace Studies. Rep. 267.Google Scholar
Tam, C. K.: 1969 On the noise of a nearly ideally expanded supersonic jet. J. Fluid Mech. 38, 537.Google Scholar
Tam, K. W. T.: 1972 The drag on a cloud of spherical particles in low Reynolds number flow. J. Fluid Mech. 51, 69.Google Scholar
Umeda, Y., Maeda, H. & Ishii, R., 1987 Discrete tones generated by the impingement of a high speed jet on a circular cylinder. Phys. Fluids 30, 2380.Google Scholar
Van Dyke, M. D. 1958 A model of supersonic flow past blunt axisymmetric bodies, with application to Chester's solution. J. Fluid Mech. 3, 515.Google Scholar
Zucrow, M. J. & Hoffman, J. P., 1977 Gas Dynamics, vol. 2, p. 269. Wiley.
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