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Particle response and turbulence modification in fully developed channel flow

  • J. D. Kulick (a1), J. R. Fessler (a1) and J. K. Eaton (a1)
Abstract

The interactions between small dense particles and fluid turbulence have been investigated in a downflow fully developed channel in air. Particle velocities of, and fluid velocities in the presence of, 50 μm glass, 90 μm glass and 70 μm copper spherical beads were measured by laser Doppler anemometry, at particle mass loadings up to 80%. These particles were smaller than the Kolmogorov lengthscale of the flow and could respond to some but not all of the scales of turbulent motion. Streamwise mean particle velocity profiles were flatter than the mean fluid velocity profile, which was unmodified by particle loading. Particle velocity fluctuation intensities were larger than the unladen-fluid turbulence intensity in the streamwise direction but were smaller in the transverse direction. Fluid turbulence was attenuated by the addition of particles; the degree of attenuation increased with particle Stokes number, particle mass loading and distance from the wall. Turbulence was more strongly attenuated in the transverse than in the streamwise direction, because the turbulence energy is at higher frequencies in the transverse direction. Streamwise turbulence attenuation displayed a range of preferred frequencies where attenuation was strongest.

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Csanady, G. T. 1963 Turbulent diffusion of heavy particles in the atmosphere. J. Atmos. Sci. 21, 222225.
Elghobashi, S. E. & Abou-Arab, T. W. 1983 A two-equation turbulence model for two-phase flows. Phys. Fluids 26, 931938.
Elghobashi, S. E. & Truesdell, G. C. 1992 Direct simulation of particle dispersion in decaying isotropic turbulence. J. Fluid Mech. 242, 655700.
Elghobashi, S. E. & Truesdell, G. C. 1993 On the two-way interaction between homogeneous turbulence and dispersed solid particles. I: Turbulence modification. Phys. Fluids A 5, 17901801.
Gaster, M. & Roberts, J. B. 1977 The spectral analysis of randomly sampled records by direct transform. Proc. R. Soc. Lond. A 354, 2758.
Gore, R. A. & Crowe, C. T. 1991 Modulation of turbulence by a dispersed phase. Trans. ASME I: J. Fluids Engng 113, 304307.
Kulick, J. D., Fessler, J. R. & Eaton, J. K. 1993 On the interactions between particles and turbulence in a fully-developed channel flow in air. Mech. Engng Rep. MD-66. Stanford University.
Liljegren, L. M. 1993 The effect of a mean fluid velocity gradient on the streamwise velocity variance of a particle suspended in a turbulent flow. Intl J. Multiphase Flow 19, 471484.
Longmire, E. K. & Eaton, J. K. 1990 Structure and control of a particle-laden jet. Mech. Engng Rep. MD-58. Stanford University.
Maeda, M., Hishida, K. & Furutani, T. 1980 Optical measurements of local gas and particle velocity in an upward flowing dilute gas-solids suspension. In Proc. Polyphase Flow and Transport Technology, pp. 211216. Century 2-ETC, San Francisco.
Mansour, N. N., Kim, J. & Moin, P. 1988 Reynolds-stress and dissipation-rate budgets in a turbulent channel flow. J. Fluid Mech. 194, 1544.
Mansour, N. N., Kim, J. & Moin, P. 1989 Near-wall k-ε turbulence modeling. AIAA J. 27, 10681073.
Maxey, M. R. & Riley, J. J. 1983 Equation of motion for a small rigid sphere in a nonuniform flow. Phys. Fluids 26, 441165.
Pourahmadi, F. & Humphrey, J. A. C. 1983 Modeling solid-fluid turbulent flows with applications to predicting erosive wear. Phys.-Chem. Hydrodyn. 4, 191219.
Rashidi, M., Hetsroni, G. & Banerjee, S. 1990 Particle-turbulence interaction in a boundary-layer. Intl J. Multiphase Flow 16, 935949.
Reeks, M. W. 1977 On the dispersion of small particles suspended in an isotropic turbulent fluid. J. Fluid Mech. 83, 529546.
Rizk, M. A. & Elghobashi, S. E. 1985 The motion of a spherical particle suspended in a turbulent flow near a plane wall. Phys. Fluids 28, 806817.
Rizk, M. A. & Elghobashi, S. E. 1989 A two-equation turbulence model for dispersed dilute confined two-phase flows. Intl J. Multiphase Flow 15, 119133.
Rizk, M. A., Mostafa, A. A. & Abolfadl, M. A. 1993 Calculations of a particle-laden flat plate turbulent boundary layer. In Gas-Solid Flows. ASME FED-166 (ed. Stock et al.), pp. 169175.
Rogers, C. B. & Eaton, J. K. 1991 The effect of small particles on fluid turbulence in a flat-plate, turbulent boundary layer in air. Phys. Fluids A 3, 928937.
Snyder, W. H. & Lumley, J. L. 1971 Some measurements of particle velocity auto-correlation functions in a turbulent flow. J. Fluid Mech. 48, 4171.
Sommerfeld, M. 1992 Modelling of particle-wall collisions in confined gas-particle flows. Intl J. Multiphase Flow 18, 905926.
Soo, S. L. 1956 Statistical properties of momentum transfer in two-phase flow. Chem. Engng Sci. 5, 5767.
Squires, K. D. & Eaton, J. K. 1990a The interaction of particles with homogeneous turbulence. Mech. Engng Rep. MD-55. Stanford University.
Squires, K. D. & Eaton, J. K. 1990b Particle response and turbulence modification in isotropic turbulence. Phys. Fluids A 2, 11911203.
Squires, K. D. & Eaton, J. K. 1991 Measurements of particle dispersion obtained from direct numerical simulations of isotropic turbulence. J. Fluid Mech. 226, 135.
Squires, K. D. & Eaton, J. K. 1994 Effect of selective modification of turbulence on two-equation models for particle-laden flows. Trans. ASME I: J. Fluids Engng (to appear).
Taylor, G. I. 1921 Diffusion by continuous movements. Proc. Lond. Math. Soc. A 20, 196211.
Tchen, C. M. 1947 Mean value and correlation problems connected with the motion of small particles suspended in a turbulent fluid. PhD dissertation, University of Delft, The Hague.
Tsuji, Y., Morikawa, Y. & Shiomi, H. 1984 LDV measurements of an air-solids two-phase flow in a horizontal pipe. J. Fluid Mech. 139, 417434.
Wells, M. R. & Stock, D. E. 1983 The effect of crossing trajectories on the dispersion of particles in a turbulent flow. J. Fluid Mech. 136, 3162.
Yudine, M. I. 1959 Physical considerations on heavy particle diffusion. Adv. Geophys. 6, 185191.
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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
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