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Second-order modelling of particle dispersion in a turbulent flow

Published online by Cambridge University Press:  21 April 2006

Tsan-Hsing Shih  and
J. L. Lumley
Tsan-Hsing Shih
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14850
J. L. Lumley
Affiliation:
Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14850
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Abstract

A set of second-order modelled equations for the motion of particles are presented. We consider the effects of the particle inertia and the crossing-trajectories effect on the particle dispersion. A simple case of a particle mixing layer in a decaying homogeneous turbulence for light and heavy particles is calculated. The results show that the crossing-trajectories effect on particle dispersion is very significant, while inertia only has a slight effect. This behaviour has been observed in experiments (Wells & Stock 1983) and is well predicted by an asymptotic analysis (Csanady, 1963). The calculation also shows that there is a significant difference between Favre-averaged particle velocity and conventional-averaged particle velocity in the low-particle-concentration region. All calculations are in good agreement with Wells & Stock's experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 163 , February 1986 , pp. 349 - 363
Copyright
© 1986 Cambridge University Press

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References

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