The objective of the current paper is to clarify the physical distinction between turbulence modulations by laden particles in decaying isotropic turbulence and stationary isotropic turbulence. Direct numerical simulations of stationary and decaying isotropic turbulence were carried out using 1283 grid points at a Taylor micro-scale Reynolds number of Rλ ∼ 70. The effect of O(106) solid particles with a different Stokes number (St) was implemented as a point-force approximation in the Navier-Stokes equation. Turbulent kinetic energy, acceleration, enstrophy, strain rate, and various spectra were examined to determine the distinctions. Turbulence modulation in decaying turbulence is qualitatively and quantitatively inconsistent compared to that in stationary turbulence, particularly when the particles have St ≤ 1, mainly due to the artificial forcing necessary for stationary status. For the particles with St > 1, however, decaying and stationary turbulence are qualitatively similar. A simple analysis confirms that stationary turbulence is not appropriate for the study of turbulence modulation by particles with St ≤ 1. Furthermore, the injection perturbation of particles has a significant effect on turbulence modulation in decaying turbulence. An investigation of the correlation between turbulence field zones and the two-way interaction energy was conducted to gain a better understanding of the modulation mechanism.
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January 2012
Research Article|
January 31 2012
Decaying versus stationary turbulence in particle-laden isotropic turbulence: Turbulence modulation mechanism
Abouelmagd H. Abdelsamie;
Abouelmagd H. Abdelsamie
1Department of Mechanical Engineering,
Yonsei University
, 50 Yonsei-ro, Seodaemun-gu, Seoul, Korea
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Changhoon Lee
Changhoon Lee
a)
1Department of Mechanical Engineering,
Yonsei University
, 50 Yonsei-ro, Seodaemun-gu, Seoul, Korea
2Department of Computational Science and Engineering,
Yonsei University
, 50 Yonsei-ro, Seodaemun-gu, Seoul, Korea
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a)
Electronic mail: [email protected].
Physics of Fluids 24, 015106 (2012)
Article history
Received:
July 19 2011
Accepted:
December 08 2011
Citation
Abouelmagd H. Abdelsamie, Changhoon Lee; Decaying versus stationary turbulence in particle-laden isotropic turbulence: Turbulence modulation mechanism. Physics of Fluids 1 January 2012; 24 (1): 015106. https://doi.org/10.1063/1.3678332
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