(Mamoru Tanahashi) Department of Mechanical and Aerospaoe Engineering Tokyo Institute of Technology ,,., ,, $\sim$,,

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$1601 2008 69-79 69 (Mamoru Tanahashi) Department of Mechanical and Aerospaoe Engineering Tokyo Institute of Technology 1 100 1950 1960 $\sim$ 1990 1)$

1 (Mamoru Tanahashi) Department of Mechanical and Aerospaoe Engineering Tokyo Institute of Technology $\sim$ ) 2) 3) (DNS) DNS DNS 8 8 $(\eta)$ 8 (ud 12 Fig 1 Distribution of coherent fine scale eddy in homogeneous isotropic turbulence for $Re_{\lambda}=2876$

$\frac{1}{\eta}=\frac{re_{\lambda}^{3/2}}{15^{3 4}}$ 70 Fig 2 Schematic of coherent fine scale eddy in homogeneous turbulence 2 4) 5) 6) 7) 3) 2 DNS $\nabla\cdot u=0$

2 $\frac{1}{\eta}=\frac{re_{\lambda}^{3/2}}{15^{3 4}}$ 70 Fig 2 Schematic of coherent fine scale eddy in homogeneous turbulence 2 4) 5) 6) 7) 3) 2 DNS $\nabla\cdot u=0$ $\frac{\partial u}{\partial l}+(u\cdot\nabla)u=-\nabla p+\frac{1}{re}\nabla^{2}u$ $u$ $p$ $Re$ ( Re$\lambda$ $Re_{\lambda}>100$ $N^{3} \propto(\frac{re_{\lambda}^{3/2}}{15^{3 4}}1^{3}$

3 channel $\ll_{s}^{*}\approx^{\approx}$ : 71 1 DNS HIT: TML: SML: TCF: Channel $Re_{\lambda}$ TTC:Taylor-Couette : $Re_{\iota 00}$ : $Re_{\tau}$ : $\Lambda$ Rei : $\delta$ Fig 3 Joint probability density function of diameter and maximum azimuthal velocity of coherent fine scale eddy in homogeneous isotropic turbulence $-5/3$ DNS 680 (4096X4096X4096) DNS8) DNS9)10) TS$UBmB$ 1 TSUBEME DNS $-5/3$ 1 DNS

$72 Flg 4 coherent $n_{1\sigma t^{r}\cdot but\cdot O^{\eta}O }^{-}$ $\sigma fine ca^{1}e$ eddv $:_{n} 1y[:g\cdot g$ laycr Fig 5 Fine scale structures in turbulent channel$

4 72 Flg 4 coherent $n_{1\sigma t^{r}\cdot but\cdot O^{\eta}O }^{-}$ $\sigma fine ca^{1}e$ eddv $:_{n} 1y[:g\cdot g$ laycr Fig 5 Fine scale structures in turbulent channel flow Fig 6 Fine scale structures in turbulent Taylor-Couette flow 3 DNS 11) $\sim$ 20 ( 3 4 ) $\sim$ ( ) 6 7 ( $\tilde\sim$ ) ( ) $\sim$ ) 4 DNS 12) DNS

$$)$ 3) 6 DNS 13) DNS $13\rangle$ 3 11) 14)$

5 73 DNS 1 4 DNS 3) 9) 5 DNS 1 4 ( ) ) $s$ ( $)$ 3) 6 DNS 13) DNS $13\rangle$ 3 11) 14) 15) 7

$$\ddagger n$ a $\geq a_{\sim}^{e}$ $\tilde{\approx}\geq^{6}$ 74 (a) (b) 30 25 20 15 10 05 00 50 oo $S0$ 100 $E]<E_{t}>$ $E_{\tau}$ Fig 9 Joint probability density functions of energy transfer and$

6 $\ddagger n$ a $\geq a_{\sim}^{e}$ $\tilde{\approx}\geq^{6}$ 74 (a) (b) oo $S0$ 100 $E]<E_{t}>$ $E_{\tau}$ Fig 9 Joint probability density functions of energy transfer and number density ofthe diameter above $80\eta$ cube of integral length scale unit (a) and (b) are conditioned by local Kolmogorov scale $\eta_{i}$ Fig 1 $\Delta$ eddies (a) and contour surfaces of high strain rate in large scale for filter size $\eta$ and 320 (yellow) with the axes (b) scale are $80\eta$ (red) $160\eta$ (orange) 8 80 $\eta$ 7 8 ${\rm Re}_{\lambda}=2227(a)$ 2561 (b) 2876(c) $\pi$ XTEzXy-c/12(yc $\sim$ -31B) $Q_{c}$ 8 $Q_{c}$ GS SGS E$\tau$ 80 $\eta$ $E_{\tau}=-\tau_{j/}\overline{S}_{ij}=-L_{ijj^{-C_{i/}\overline{S}_{1j}-R_{ljj}}}F_{j}S_{j}$ $L_{j}i$ $C_{jj}$ $R_{ij}$ $320\eta(\approx 088i_{E})$ $N$ ( $\eta$1)11) 9(a) $\eta_{f}/\eta>1o$ 9(b) $\eta_{1}/\eta<10$ $\eta_{l}/\eta>10$ $\eta_{i}/\eta<10$ GS-SGS

$75 80 $\eta$ GS-SGS ) $ /$ 10(a) 7(b) GS-SGS GS SGS 10(a) GS-SGS $E$ Forward scatter 80 $\eta$ GS-SGS 10(b) $80\eta$ 160 $\eta$ 320 $\eta$ 15) Large Eddy Simulation SGS 15) 4 16) 11$

7 75 80 $\eta$ GS-SGS ) $ /$ 10(a) 7(b) GS-SGS GS SGS 10(a) GS-SGS $E$ Forward scatter 80 $\eta$ GS-SGS 10(b) $80\eta$ 160 $\eta$ 320 $\eta$ 15) Large Eddy Simulation SGS 15) 4 16) 11 $331l_{E^{x}}3311_{E^{X}}331I_{E}(Re_{\lambda}=2227)$ $317i_{E^{x}}317l_{E}\cross 3171_{E}$ $({\rm Re}_{\lambda}=2561)$ $Q=(W_{ij}W_{rj}\cdot- S_{ij}S_{1_{j}})/2$ ) $s$ PDF variance $17$ ) $ 8)$ PDF variance (PDF) PDF PDF variance $D( a\eta\cdot Q)=\sum_{n\cdot 0}^{Ne}(P_{\alpha\eta}(n\cdot Q)-P_{1ln\prime to;m}(n\cdot Q)f$

$$\bigotimes_{\hslash\s}\triangleright$ $\otimes\zeta\ddot{\triangleright}r$ 76 (a) (b) Fig 12 Cell-scale and eddy-intensity dependences of PDF variance of the coherent fine scale eddy for$

8 $\bigotimes_{\hslash\s}\triangleright$ $\otimes\zeta\ddot{\triangleright}r$ 76 (a) (b) Fig 12 Cell-scale and eddy-intensity dependences of PDF variance of the coherent fine scale eddy for $Re_{\lambda}=2227(a)$ and 2561 (b) a $\eta$ $P_{8t}/n:Q)$ $Q_{c}$ $Q_{c}>Q$ PDF $P_{unir\circ rm}(n:q)$ PDF PDF variance 12 $Q_{c}$ PDF variance 19) 1/ - $Q_{c}$ PDF variance $Re_{\lambda}=2227$ $\partial \mathcal{t}^{-}14\eta$ $Re_{\lambda}=2561$ at16 $\eta$ $\lambda=293\eta$ $31$ 6 $\eta$ PDF variance 1/2 $Q_{c}$ $Q_{c}$ 12 $Q_{c}$ PDF variance

$77 PDF variance 11 $Q_{c}$ PDF variance PDF variance $Re_{\lambda}=2227$ $Q_{c}/(u_{rm}J\eta)^{2}>017$ $Re_{\lambda}=2561$$

9 77 PDF variance 11 $Q_{c}$ PDF variance PDF variance $Re_{\lambda}=2227$ $Q_{c}/(u_{rm}J\eta)^{2}>017$ $Re_{\lambda}=2561$ $Q_{c}/(u_{rms}/\eta)\underline$ $>025$ $\partial tf^{128\eta}$ $143$ $\eta$ $Re_{\lambda}=2227$ 2561 DNS PDF variance 11 (a) ) 15 $-1$ DNS ) 8 21)

78 $22$ ) $23)$ 24) 25) 6 $)$ 1 M Tanahashi T Miyauchi and J Ikeda: Identification of Coherent Fine Scale Structure in Turbulence IUTAM Symp: Simulation and Identification of Organized Structures in

10 78 $22$ ) $23)$ 24) 25) 6 $)$ 1 M Tanahashi T Miyauchi and J Ikeda: Identification of Coherent Fine Scale Structure in Turbulence IUTAM Symp: Simulation and Identification of Organized Structures in Flows pp $)$ M Tanahashi S Iwase and T Miyauchi: Appearance and Alignment with Strain Rate of Coherent Fine Scale Eddies in Turbulent Mixing Layer J Turbulence 2 No $)$ 3 M Tanahashi S -J Kang T Miyamoto S Shiokawa and T Miyauchi: Scaling Law of Fine Scale Eddies in Turbulent Channel Flows up to Int J Heat and Fluid Flow $Rc_{\iota}=800$ 25 pp $)$ 4 : (B ) 68 pp $)$ 5 : Thermal Science and Engineering 8 pp $)$ M Sato M Tanahashi and T Miyauchi: Droplet Dispersion and Vapor Mixing by Fine Scale Turbulence $I$nt J Heat and Fluid Flow to be submitted $)$ M Tanahashi M Fujimura and T Miyauchi: Coherent Fine Scale Eddies in Turbulent Premixed Flames Proc Combust Inst 28 pp $)$ Y Kaneda T lshihara M Yokokawa K Itakura and A Uno: Energy Dissipation Rate and Energy Spectrum in High Resolution Direct NumericaI Simulations of Turbulence in a Periodic Box Phys Fluids 15 ppl21-l $)$ 9 : 2005 AM ) T Tsukahara H Kawamura and K Shingai: DNS of Turbulent Couette Flow with Emphasis on the Large $\cdot$scale Structure in the Core Region J Turbulence 7 No ) : 18 (CD-ROM) A ) Y Wang M Tanahashi and T Miyauchi: Coherent Fine Scale Eddies in Turbulence Transition of Spatially-Developing Mixing Layer Int J Heat and Fluid Flow to be submitted ) Taylor-Couette 20 (CD-ROM) A ) : 19

11 79 (CD-ROM) E ) M Tanahashi K Fujibayashi and T Miyauchi Fine Scale Eddy Cluster and Energy Cascade in Homogeneous Isotropic Turbulence IUTAM Bookseries (IUTAM Symposium on Computational Physics and New Perspectives in Turbulence) Vol 4 pp ) : 21 (CD-ROM) E ) L-P Wang M R Maxey: Settling Velocity and Concentration Distribution of Heavy Particles In Homogeneous Isotropic Turbulence J Fluid Mech 256 pp ) R C Hogan J N Cuzzi: Stokes and Reynolds Number Dependence of Preferential Particle Concentration in Simulated Three-Dimensional Turbulence Physics of Fluids pp 293S ) : Thermal Science and Engineering 8-3 pp ) T Michioka and S Komori: Large-Eddy Simulation of a Turbulent Reacting Liquid Flow AlChE Joumal 50 pp $2705\cdot 2720$ ) M Tanahashi Y Wang T Fujisawa K Chinda and T Miyauchi: Fractal Geometry and Mixing Transition in Turbulent Mixing Layer Proc 5th Int Symp on Turbulence and Shear Flow Phenomena ) T Kajishima: Influence of Particle Rotation on the Interaction between Particle Clusters and Particle-lnduced Turbulence Int J Heat and Fluid Flow 25 pp ) B Yu and Y Kawaguchi: DNS of Fully Developed Turbulent Heat Transfer of a Viscoelastic Drag-Reducing Flow lnt J Heat and Mass Transfer 48 pp ) M Tanahashi Y Nada Y lto and T Miyauchi: Local Flame Structure in the Well-Stirred Reactor Regime Proc Combust Inst 29 pp ) : 25 pp

$\hat{\grave{\grave{\lambda}}}$ $\grave{\neg}\backslash \backslash ^{}4$ $\approx \mathrm{t}\triangleleft\wedge$ $10^{4}$ $10^{\backslash }$ $4^{\math

$$\hat{\grave{\grave{\lambda}}}$ $\grave{\neg}\backslash \backslash ^{}4$ $\approx \mathrm{t}\triangleleft\wedge$ $10^{4}$ $10^{\backslash }$ $4^{\math$ $\mathrm{r}\mathrm{m}\mathrm{s}$ 1226 2001 76-85 76 1 (Mamoru Tanahashi) (Shiki Iwase) (Toru Ymagawa) (Toshio Miyauchi) Department of Mechanical and Aerospaoe Engineering Tokyo Institute of Technology