FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
|
|
|
|
Scalar Statistics along Inertial Particle Trajectory in Isotropic Turbulence |
LIU Ya-Ming, LIU Zhao-Hui, HAN Hai-Feng, LI Jing, WANG Han-Feng, ZHENG Chu-Guang |
State Key Laboratory for Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074 |
|
Cite this article: |
LIU Ya-Ming, LIU Zhao-Hui, HAN Hai-Feng et al 2009 Chin. Phys. Lett. 26 064402 |
|
|
Abstract The statistics of a passive scalar along inertial particle trajectory in homogeneous isotropic turbulence with a mean scalar gradient is investigated by using direct numerical simulation. We are interested in the influence of particle inertia on such statistics, which is crucial for further understanding and development of models in non-isothermal gas-particle flows. The results show that the scalar variance along particle trajectory decreases with the increasing particle inertia firstly; when the particle's Stokes number St is less than 1.0, it reaches the minimal value when St is around 1.0, then it increases if St increases further. However, the scalar dissipation rate along the particle trajectory shows completely contrasting behavior in comparison with the scalar variance. The mechanical-to-thermal time scale ratios averaged along particle, <r>p, are approximately two times smaller than that computed in the Eulerian frame r, and stay at nearly 1.77 with a weak dependence on particle inertia. In addition, the correlations between scalar dissipation and flow structure characteristics along particle trajectories, such as strain and vorticity, are also computed, and they reach their maximum and minimum, 0.31 and 0.25, respectively, when St is around 1.0.
|
Keywords:
44.35.+c
47.55.Kf
47.27.Ek
|
|
Received: 23 January 2009
Published: 01 June 2009
|
|
PACS: |
44.35.+c
|
(Heat flow in multiphase systems)
|
|
47.55.Kf
|
(Particle-laden flows)
|
|
47.27.ek
|
(Direct numerical simulations)
|
|
|
|
|
[1] Warhaft Z 2000 Ann. Rev. Fluid. Mech. 32 203 [2] Sato Y, Deutsch E and Simonin O 1998 Int. J. Heat andFluid Flow 19 187 [3] Jaberi F A 1998 Int. J. Heat Mass Transfer 414081 [4] Jaberi F A and Mashayek F 2000 Int. J. Heat MassTransfer 43 993 [5] Pope S B 1990 Proc. 23rd Symp. Combust. (Pittsburgh:The Combust. Inst.) p 591 [6] Pope S B 1985 Prog. Energy Combust. Sci. 11119 [7] Zaichik L I 1999 Phys. Fluids 11 1521 [8] Pandya R V and Mashayek F 2003 J. Fluid Mech. 475 205 [9] Simonin O 1996 Lecture Series 1996-02 (Brussels,Belgium: Von Karman Institute for Fluid Dynamics) [10] Moissette S, Oesterl\'{e B and Boulet P 2001 Int.J. Heat Mass Transfer 22 220 [11] Yeung P K 2001 J. Fluid Mech. 427 241 [12] He Z, Liu Z H, Chen S et al 2006 Sic. Chin. E 49 210 [13] Eswaran V and Pope S B 1988 Phys. Fluids 31506 [14] Balachander S and Maxey M R 1989 J. Comput. Phys. 83 96 [15] Squires K and Eaton J 1991 Phys. Fluids A 31169 [16] Holzer M and Siggia E D 1994 Phys. Fluids 61820 [17] Pumir A 1994 Phys. Fluids 6 2118 [18] Sirivat and Warhaft Z 1983 J. Fluid Mech. 128 323 [19] Warhaft Z and Lumley J L 1978 J. Fluid Mech. 88 659 [20] Overholt M R and Pope S B 1996 Phys. Fluids 8 3128 [21] Brethouwer G, Hunt J C R and Nieuwstadt F T M 2003 J. Fluid. Mech. 474 193 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|