Abstract
Several Continuous Random Walk (CRW) models were constructed to predict turbulent particle diffusion based only on mean Eulerian fluid statistics. The particles were injected near the wall (y +=4) of a turbulent boundary layer that is strongly anisotropic and inhomogeneous near the wall. To assess the performance of the models for wide range of particle inertias (Stroke numbers), the CRW results were compared to particle diffusion statistics gathered from a Direct Numerical Simulation (DNS). The results showed that accurate simulation required a modified (non-dimensionalized) Markov chain for the large gradients in turbulence based on fluid-tracer simulations. For finite-inertia particles, a modified drift correction for the Markov chain (developed herein to account for Strokes number effects) was critical to avoiding non-physical particle collection in low-turbulence regions. In both cases, inclusion of anisotropy in the turbulent kinetic energy was found to be important, but the influence of off-diagonal terms was found to be weak.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Loth, E., 2000, Numerical approaches for motion of dispersed particles, droplets, and bubbles, Progress in Energy and Combustion Science 26, 161–223.
MacInnes, J.M. and Bracco, F.V., 1992, Stochastic particle dispersion modeling and the tracer-particle limit, Physics of Fluids A 12, 2809–2824.
Legg, B.J. and Raupach, M.R., 1982, Markov-chain simulation of particle dispersion in inhomogeneous flows: The mean drift velocity induced by a gradient in the Eulerian velocity variance, Boundary-Layer Meteorology 24, 3–13.
Bocksell, T.L. and Loth, E., 2001, Random walk models for particle diffusion in free-shear flows, AIAA Journal 39(6), 1086–1096.
Iliopoulos, I. and Hanratty, T.J., 1999, Turbulent dispersion in a non-homogeneous field, Journal of Fluid Mechanics 392, 45–71.
Spalart, P.R. and Watmuff, J.H., 1993, Experimental and numerical study of a turbulent boundary layer with pressure gradients, Journal of Fluid Mechanics 249, 337–371.
Bocksell, T.L., 2004, Numerical simulation of turbulent particle diffusion, Ph.D. Thesis, University of Illinois at Urbana-Champaign, Urbana, IL.
Dorgan, A.J., 2003, Boundary layer dispersion of near-wall injected particles of various inertias, M.S. Thesis, University of Illinois at Urbana-Champaign, Urbana, IL.
Hinze, J.O., 1975, Turbulence, McGraw-Hill, New York.
Kallio, G.A. and Reeks, M.W., 1989, A numerical simulation of particle deposition in turbulent boundary layers, International Journal of Multiphase Flow 15(3), 433–446.
Barton, I.E., 1996, Exponential-Lagrangian tracking schemes applied to Stokes law, Journal of Fluids Engineering 118, 85–89.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this paper
Cite this paper
Loth, E., Bocksell, T.L. (2006). Stochastic Diffusion of Finite Inertia Particles in Non-Homogeneous Turbulence. In: Balachandar, S., Prosperetti, A. (eds) IUTAM Symposium on Computational Approaches to Multiphase Flow. Fluid Mechanics and Its Applications, vol 81. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4977-3_8
Download citation
DOI: https://doi.org/10.1007/1-4020-4977-3_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4976-7
Online ISBN: 978-1-4020-4977-4
eBook Packages: EngineeringEngineering (R0)