Hostname: page-component-8448b6f56d-gtxcr Total loading time: 0 Render date: 2024-04-24T11:37:31.269Z Has data issue: false hasContentIssue false

Spatiotemporal Intermittency Measurements in a Gas-Phase Near-Isotropic Turbulence Using High-Speed Dpiv and Wavelet Analysis

Published online by Cambridge University Press:  05 May 2011

T. S. Yang*
Affiliation:
Department of Mechanical Engineering, National Central University, Jhongli City, Taoyuan, Taiwan 32054, R. O. C.
S. S. Shy*
Affiliation:
Department of Mechanical Engineering, National Central University, Jhongli City, Taoyuan, Taiwan 32054, R. O. C.
Y. P. Chyou*
Affiliation:
Institute of Nuclear Energy Research, Lung-Tan, Taoyuan, Taiwan 32546, R.O.C.
*
* Ph.D.
** Professor, corresponding author
*** Senior Specialist
Get access

Abstract

Recently, Shy and his co-workers developed a new turbulent flow system that used a pair of counter-rotating fans and perforated plates to generate stationary near-isotropic turbulence, as verified by LDV measurements, for the study of premixed turbulent combustion processes. This paper evaluates for the first time the correlations between spatial and temporal properties of small-scale intermittency in such a fan-stirred near-isotropic turbulence. These spatiotemporal properties are obtained simultaneously via high-speed digital particle image velocimetry together with wavelet analyses. It is found that the wavelet energy spectra in the inertial range of near-isotropic region all exhibit a slope of nearly −5/3 which spans at least from 3Hz to 100Hz. Characteristic scales, including the integral time and length scales, Taylor microscales, and viscous dissipation scales, are identified without the use of Taylor hypothesis. Thus, a direct evaluation of Taylor hypothesis in near-isotropic turbulence with zero mean velocity can be made. From variations of the flatness factor, equivalent to the 4th order velocity structure function, in the spatial and time domains, it is found that the characteristic spatial and temporal intermittent scales of intense vorticity structures in the dissipation range of the fan-stirred near-isotropic turbulence occur around 5 ∼ 8η and τk, respectively, where η and τk are the Kolmogorov length and time scales. These results are useful for further study of particle settling in turbulence, a problem of both engineering and geophysical interest.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Kolmogorov, A. N., “The Local Structure of Turbulence in Incompressible Viscous Fluid for very Large Reynolds Numbers,” C. R. Acad. Sci. USSR., 30, pp. 301305 (1941).Google Scholar
2.Batchelor, G. K. and Townsend, A. A., “The Nature of Turbulent Motion at Large Wave-Numbers,” Proc. R. Soc. Lond. A, 199, pp. 238255 (1949).Google Scholar
3.Sreenivasan, K. R. and Antonia, R. A., “The Phenomenology of Small-Scale Turbulence,” Ann. Rev. Fluid Mech., 29, pp. 435472 (1997).CrossRefGoogle Scholar
4.Comte-Bellot, G., and Corrsin, S., “The Use of a Contraction to Improve the Isotropy of Grid-Generated Turbulence,” J. Fluid Mech., 25, pp. 657682 (1966).CrossRefGoogle Scholar
5.Mohamed, M. S. and LaRue, J. C., “The Decay Power Law in Grid-Generated Turbulence,” J. Fluid Mech., 219, pp. 195214 (1990).Google Scholar
6.Camussi, R., Barbagallo, D., Guj, G. and Stella, F., “Transverse and Longitudinal Scaling Laws in Non-Homogeneous Low Re Turbulence,” Phys. Fluids, 8(5), pp. 11811191 (1996).CrossRefGoogle Scholar
7.Zhou, T. and Antonia, R. A., “Reynolds Number Dependence of the Small-Scale Structure of Grid Turbulence,” J. Fluid Mech., 406, pp. 81107 (2000).CrossRefGoogle Scholar
8.Shy, S. S., I, W. K. and Lin, M. L., “A New Cruciform Burner and Its Turbulence Measurements for Premixed Turbulent Combustion Study,” Exp. Thermal Fluid Sci., 20, pp. 105114 (2000).CrossRefGoogle Scholar
9.Shy, S. S., Lin, W. J. and Wei, J. C., “An Experimental Correlation of Turbulent Burning Velocities for Premixed Turbulent Methan-Air Combustion,” Proc. R. Soc. hond. A., 456, pp. 19972019 (2000).CrossRefGoogle Scholar
10.Shy, S. S., Lee, E. L., Chang, N. W. and Yang, S. L., “Direct and Indirect Measurements of Flame Surface Density, Orientation, and Curvature for Premixed Turbulent Combustion Modeling in a Cruciform Burner,” Proc. Combus. Inst., 28, pp. 383390 (2001).CrossRefGoogle Scholar
11.Shy, S. S., Lin, W. J. and Peng, K. Z., “High-Intensity Turbulent Premixed Combustion: General Correlations of Turbulent Burning Velocities in a New Cruciform Burner,” Proc. Combus. Inst., 28, pp. 561568 (2001).CrossRefGoogle Scholar
12.Chang, N. W., Shy, S. S., Yang, S. I. and Yang, T. S., “Spatially Resolved Flamelet Statistics for Reaction Rate Modeling Using Premixed Methane-Air Flames in a Near-Homogeneous Turbulence,” Combust. Flame, 127, pp. 18801894 (2001).CrossRefGoogle Scholar
13.Yang, S. I. and Shy, S. S., “Measurements of Fractal Properties of Premixed Turbulent Flames and Their Relation to Turbulent Burning Velocities,” The Chinese Journal of Mechanics {Series A), 17(2), pp. 93101 (2001).Google Scholar
14.Yang, S. I. and Shy, S. S., “Global Quenching of Premixed CH4/Air Flames: Effects of Turbulent Straining, Equivalence Ratio, and Radiative Heat Loss,” Proc. Combus. Inst., 29, pp. 18801887 (2003).Google Scholar
15.Abdel-Gayed, R., Bradley, D., and Lawes, M.Turbulent Burning Velocities: A General Correlation in Terms of Straining Rates,” Proc. R. Soc. Fond. A, 414, pp. 389413 (1987).Google Scholar
16.Benzi, R., Ciliberto, S., Gerardo, C. and Chavarria, G. R., “On the Scaling of Three-Dimensional Homogeneous and Isotropie Turbulence,” Phys. D., 80, pp. 385398 (1995).CrossRefGoogle Scholar
17.Hinze, J. O., Turbulence, 2nd ed., McGraw-Hill, New York (1975).Google Scholar
18.Jiang, L. J., Shy, S. S., Yang, T. S. and Lee, J. H., “Four-Dimensional Measurements of the Structure of Dissipative Scales in an Aqueous Near-Isotropic Turbulence,” Reynolds Number Scaling in Turbulent Flows, Smits, A. J., ed., pp. 207214 (Kluwer Academic Publishers, Dordrecht, 2003) [Also presented at IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow, Princeton, NJ, 11–13 September 2002].Google Scholar
19.Yang, T. S. and Shy, S. S., “The Settling Velocity of Heavy Particles in an Aqueous Near-Isotropic Turbulence,” Phys. Fluids, 15(4), pp. 868880 (2003).CrossRefGoogle Scholar
20.Willert, C. E. and Gharib, M., “Digital Particle Image Velocimetry,” Exps. Fluids, 10, pp. 181193 (1991).CrossRefGoogle Scholar
21.Gui, L. and Merzkirch, W., “Generating Arbitrarily Sized Interrogation Windows for Correlation-Based Analysis of Particle Image Velocimetry Recordings,” Exps. Fluids, 24, pp. 6669 (1998).CrossRefGoogle Scholar
22.Saarenrinne, P. and Oiirto, M., “Turbulent Kinetic Energy Dissipation Rate Estimation from PIV Velocity Vector Fields,” Exps. Fluids (Suppl.), pp. S300S307 (2000).CrossRefGoogle Scholar
23.Sheng, J., Meng, H. and Fox, R. O., “A Large Eddy PIV Method for Turbulent Dissipation Rate Estimation,” Chem. Eng. Sci., 55, pp. 44234434 (2000).CrossRefGoogle Scholar
24.Yang, T. S. and Shy, S. S., “Two-Way Interaction Between Solid Particles and Homogeneous Air Turbulence: Particle Settling Rate and Turbulence Modification Measurements,” J. Fluid Mech., 526, pp. 171216 (2005).CrossRefGoogle Scholar
25.Raffel, M., Willert, C. and Kompenhans, J., Particle Image Velocimetry: A Practical Guide, Springer-Verlag, Berlin (1998).CrossRefGoogle Scholar
26.Farge, M., “Wavelets Transforms and Their Application to Turbulence,” Ann. Rev. Fluid Mech., 24, pp. 395457 (1992).CrossRefGoogle Scholar
27.Mouri, H., Kubotani, H., Fujitani, T., Niino, H. and Takaoka, M., “Wavelet Analyses of Velocities in Laboratory Isotropie Turbulence,” J. Fluid Mech., 389, pp. 229254 (1999).CrossRefGoogle Scholar
28.Camussi, R. and Guj, G., “Orthonormal Wavelet Decomposition of Turbulent Flows: Intermittency and Coherent Structures,” J. Fluid Mech., 348, pp. 177199 (1997).CrossRefGoogle Scholar
29.Jiménez, J., Wary, A., Saffman, P. G. and Rogallo, R. S., “The Structure of Intense Vortici ty in Isotropie Turbulence,” J. Fluid Mech., 255, pp. 6590 (1993).CrossRefGoogle Scholar
30.Antonia, R. A., Orlandi, P. and Zhou, T., “Assessment of a Three-Component Vorticity Probe in Decaying Turbulence,” Exps. Fluids, 33, pp. 384390 (2002).CrossRefGoogle Scholar
31.Antonia, R. A., Zhou, T. and Romano, G. P., “Small-Scale Turbulence Characteristics of Two-Dimensional Bluff Body Wakes,” J. Fluid Mech., 459, pp. 6292 (2002).CrossRefGoogle Scholar
32.Yang, T. S. and Shy, S. S., “A Gas-Phase Near-Isotropic Turbulence and Its Wavelet Analysis for Studying Fine-Scale Intermittency,” Reynolds Number Scaling in Turbulent Flows, Smits, A. J., ed., xypKluwer Academic Publishers, Dordrecht, pp. 249252 (2003).Google Scholar
33.Batchelor, G. K., The Theory of Homogeneous Turbulence, Cambridge University Press, Cambridge (1953).Google Scholar
34.Wang, L. P. and Maxey, M. R., “Settling Velocity and Concentration Distribution of Heavy Particles in Homogeneous Isotropie Turbulence,” J. Fluid Mech., 256, pp. 2768 (1993).CrossRefGoogle Scholar
35.Yang, C. Y. and Lei, U., “The Role of the Turbulent Scales on the Settling Velocity of Heavy Particles in Homogeneous Isotropie Turbulence,” J. Fluid Mech., 371, pp. 179205 (1998).CrossRefGoogle Scholar