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Phys. Rev. Lett. 101, 114502 (2008) [4 pages]

Classification of Turbulence Modification by Dispersed Spheres Using a Novel Dimensionless Number

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Tomohiko Tanaka* and John K. Eaton
Department of Mechanical Engineering, Stanford University, 488 Escondido Mall, Bldg. 500, Stanford, California 94305-3030, USA

Received 1 March 2008; published 8 September 2008

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A novel dimensionless parameter, the particle moment number Pa, was derived using dimensional analysis of the particle-laden Navier-Stokes equations, in order to understand the underlying physics of turbulence modification by particles. A set of 80 previous experimental measurements where the turbulent kinetic energy was modified by particles was examined, and all results could clearly be divided into three groups in Re-Pa mappings. The turbulence attenuation region was observed between the augmentation regions with two critical particle momentum numbers.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.114502
DOI:
10.1103/PhysRevLett.101.114502
PACS:
47.55.Kf, 47.10.A−, 47.27.−i, 47.54.De

*Present address: Central Research Laboratory, Hitachi Ltd.

tomohiko.tanaka.nx@hitachi.com

eatonj@stanford.edu