Abstract
The present study investigates turbulence modification by particles in a backward-facing step flow with fully developed channel flow at the inlet. This flow configuration provides a range of flow regimes, such as wall turbulence, free shear layer and separation, in which to compare turbulence modification. Fluid-phase velocities in the presence of different mass loadings of particles with a Stokes number of St = 3.0 are studied. Local enhancement and attenuation of the streamwise component of the fluid turbulence of up to 27% is observed in the channel extension region for a mass loading of φ = 0.2. The amount of modification decreases with decreasing mass loading. No modification of the turbulence is found in the separated shear layer or in the re-development region behind the re-attachment, although there were significant particle loadings in these regions.
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References
H. Brenner. The slow motion of a sphere through a viscous fluid towards a plane surface. Chemical Engineering Science, 16:242–251, 1961.
J. W. Brooke, K. Kontomaris, T. J. Hanratty, and J. B. McLaughlin. Turbulent deposition and trapping of aerosols at a wall. Phys. Fluids A, 4(4):825–834, 1992.
T. M. Burton and J. K. Eaton. Fully resolved simulations of particle-turbulence interaction. J. Fluid Mech., 545:67–111, 2005.
M. Caporaloni, F. Tampieri, F. Trombetti, and O. Vittori. Transfer of particles in nonisotropic air turbulence. J. Aerosol. Sci., 32:565, 1975.
R. Clift, J. R. Grace, and M. E. Weber. Bubbles, Drops, and Particles. Academic Press, New York, 1978.
S. Elghobashi. On predicting particle-laden turbulent flows. Appl. Sci. Res., 52:309–329, 1994.
S. Elghobashi and G. C. Truesdell. On the two-way interaction between homogeneous turbulence and dispersed solid particles. I: Turbulence modification. Phys. Fluids A, 5(7):1790–1801, 1993.
H. Faxen. Die Bewegung einer starren Kugel laengs der Achse eines mit zaeher Fluessigkeit gefuellten Rohres. Arkiv Mat. Astron. Fys., 17(27):1–28, 1923.
J. R. Fessler and J. K. Eaton. Turbulence modification by particles in a backward-facing step flow. J. Fluid Mech., 394:97–117, 1999.
Y. Hardalupas, A. M. K. P. Taylor, and J. H. Whitelaw. Particle dispersion in a vertical round sudden expansion flow. Proc. R. Soc. Lond. A, 341:411–442, 1992.
A. Kubik. Numerical simulation of particle-laden, wall-bounded attached and separated flows. PhD thesis, ETH Zuerich. In preparation. 2006.
A. Kubik and L. Kleiser. Direct numerical simulation of particle statistics and turbulence modification in vertical turbulent channel flow. In Direct and Large-Eddy Simulation VI. Springer, Dordrecht, The Netherlands, 2005. To appear.
A. Kubik and L. Kleiser. Particle-laden turbulent channel flow and particle-wall interactions. Proc. Appl. Math. Mech., 5:597–598, 2005.
Y. Li, J. B. McLaughlin, K. Kontomaris, and L. Portela. Numerical simulation of particle-laden turbulent channel flow. Phys. Fluids, 13(10):2957–2967, 2001.
M. R. Maxey and J. J. Riley. Equation of motion for a small rigid sphere in nonuniform flow. Phys. Fluids, 26(4):883–889, 1983.
E. E. Michaelides. Review-The transient equation of motion for particles, bubbles, and droplets. Trans. ASME, J. Fluids Eng., 119(2):233–247, 1997.
F. Odar and W. S. Hamilton. Forces on a sphere accelerating in viscous fluid. J. Fluid Mech., 18:302–314, 1964.
P. G. Saffmann. The lift on a small sphere in a slow shear flow. J. Fluid Mech., 22:385–400, 1965.
Q. Wang and K. D. Squires. Large eddy simulation of particle-laden turbulent channel flow. Phys. Fluids, 8(5):1207–1223, 1996.
D. Wilhelm, C. Haertel, and L. Kleiser. Computational analysis of the twodimensional-three-dimensional transition in forward-facing step flow. J. Fluid Mech., 489:1–27, 2003.
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Kubik, A., Kleiser, L. (2007). DNS of particle-laden flow over a backward facing step at a moderate Reynolds number. In: Geurts, B.J., Clercx, H., Uijttewaal, W. (eds) Particle-Laden Flow. ERCOFTAC Series, vol 11. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6218-6_14
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DOI: https://doi.org/10.1007/978-1-4020-6218-6_14
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