Abstract
The two-dimensional orthogonal wavelet transform was applied to the LIF image of lobed mixing jet for identifying the multi-scale turbulent structures. The digital imaging slice photographs atz /D=1.0 and 1.5 withRe=3000 were respectively decomposed into seven image components with different broad scales. These image components provided the visualized information on the multi-scale structures in a lobed mixing turbulent jet. The cores and edges of the vortices and the coherent structures at different resolutions or scales can be easily extracted. It was found that the scale range of the coherent structure becomes narrow along the downstream direction. The size of the intermediate- and small-scale structures does not vary significantly with downstream distance.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Brasseur, J. G. and Wang, Q., Structural Evolution of Intermittency and Anisotropy at Different Scales Analyzed Using Three-dimensional Wavelet Transforms, Phys. Fluids A, 4–11 (1992), 2538–2554.
Crouch, R. W., Coughlin, C. L. and Paynter, G. C., Nozzle Exit Flow Profile Shaping for Jet Noise Reduction, Journal of Aircraft, 14 (1977), 860–867.
Dallard, T. and Browand, F. K., Scale Transitions at Defect Sites in the Mixing Layer: Application of the 2-D Arc Wavelet Transform, J. Fluid Mech., 247 (1993), 339–368.
Dallard, T. and Spedding, G. R., 2-D Wavelet Transform: Generalisation of the Hardy Space and Application to Experimental Studies, Eur. J. Mech. B/Fluids, 12 (1993), 107–134.
Everson, R. and Sirovich, L., Wavelet Analysis of the Turbulent Jet, Phys. Lett., 145-6 (1990), 314–322.
Kailas, S. V. and Narasimha, R., The Eduction of Structure from Flow Imagery Using Wavelets (Part 1. The Mixing Layer), Experiments in Fluids, 27 (1999), 167–174.
Li, H., Wavelet Auto-correlation Analysis Applied to Eddy Structure Identification of Free Turbulent Shear Flow, JSME International Journal, Fluids and Thermal Engineering, 40-4 (1997a), 567–576.
Li, H., Application of Wavelet Cross-correlation Analysis to a Turbulent Plane Jet, JSME International Journal, Fluids and Thermal Engineering, 40-1 (1997b), 58–66.
Li, H., Identification of Coherent Structure in Turbulent Shear Flow with Wavelet Correlation Analysis, ASME Journal of Fluids Engineering, 120-4 (1998a), 778–785.
Li, H., Wavelet Statistical Analysis of the Near Field Flow Structure in a Turbulent Jet, Transactions of the Japan Society for Aeronautical and Space Sciences, 41–133 (1998b), 132–139.
Li, H. and Nozaki, T., Wavelet Analysis for the Plane Turbulent Jet (Analysis of Large Eddy Structure), JSME International Journal, Fluids and Thermal Engineering, 38-4 (1995), 525–531.
Li, H., Takei, M., Ochi, M., Saito, Y. and Horii, K., Application of Two-dimensional Orthogonal Wavelets to Multiresolution Image Analysis of a Turbulent Jet, Transactions of the Japan Society for Aeronautical and Space Sciences, 42–137 (1999), 120–127.
Li, H., Takei, M., Ochi, M., Saito, Y. and Horii, K., Eduction of Unsteady Structure in a Turbulent Jet by Using of Continuous and Discrete Wavelet Transforms, Transactions of the Japan Society for Aeronautical and Space Sciences, 42–138 (2000), 120–127.
Li, H., Takei, M., Saito, Y. and Horii, K., Wavelet Multiresolution Analysis Applied to Coherent Structure Eduction of a Turbulent Jet, to appear in Transactions of the Japan Society for Aeronautical and Space Sciences, 43–-142 (2001).
Paterson, R. W., Turbofan Mixer Nozzle Flow Field — A Benchmark Experimental Study, Journal of Engineering for Gas Turbines and Power, 106 (1984), 692–698.
Spedding, G. R., Browand, F. K., Huang, N. E. and Long, S. R., A 2-D Complex Wavelet Analysis of an Unsteady Wind-generated Surface Wave Field, Dynamics of Atmospheres and Oceans, 20 (1993), 55–77.
Author information
Authors and Affiliations
Additional information
Hui Li: He received his two Ph.D. degrees in Jet Propulsion Department at Beijing University of Aeronautics and Astronautics (BUAA) in 1993 and in Mechanical Engineering Department at Kyushu Institute of Technology in 1989, respectively. After his Ph.D. program, he has been working as an assistant professor in Mechanical Engineering Department at Kagoshima University since 1993. He received the JSME Young Engineers Award in 1995 and JSMF Young Engineers Award in 2001. His current research interests include wavelet applications in fluid mechanics, eddy structure, two-phase flow phenomena, pneumatic conveying system and smart visualization technique.
Hui Hu: He received his Ph.D. degree in 1996 from Beijing University of Aeronautics and Astronautics (BUAA), then worked as a Research Fellow of Japan Society for Promotion of Science (JSPS) (1997–1999) in The University of Tokyo. He is a Research Fellow in Kobayashi Laboratory of Institute of Industrial Science (IIS), The University of Tokyo. His current research interests include development of new optical diagnostic techniques for fluid flow and heat transfer, which include conventional 2-D PIV technique, 3-D stereoscopic PIV technique and Planar LIF technique. He has also intensive interests in active and passive control of the fluid flow, lobed mixer/ejector exhaust system and gas turbine machinery.
Toshio Kobayashi: He received his Ph.D. in Mechanical Engineering Department, The University of Tokyo in 1970. After completion of his Ph.D. program, he has been a faculty member of Institute of Industrial Science, The University of Tokyo, and currently is a Professor. His research interests are numerical analysis of turbulence, especially Large Eddy Simulation (LES) and Particle Imaging Velocimetry (PIV) technique. He serves as the President to the Visualization Society of Japan (VSJ), President-elect to the Japan Society of Mechanical Engineers (JSME) and
Executive Vice President to the Society of Automotive Engineers of Japan (JSAE). Tetsuo Saga: He works in Institute of Industrial Science, The University of Tokyo. His research field is mechanical engineering. Flow visualization and its image analysis, prediction and control of flow induced vibration, automobile aerodynamics are his main research works. His current research interests are in micro- and bio-flow analysis by using PIV.
Nobuyuki Taniguchi: He graduated from School of Engineering, The University of Tokyo where he received doctor degree in 1989. He then joined Institute of Industrial Science, The University of Tokyo as lecturer and became an associate professor in 1991. He has also belonged to the present position (Information Technology Center) since 2000. His major reserch fields are fluid mechanics and computational fluid dynamics.
Rights and permissions
About this article
Cite this article
Li, H., Hu, H., Kobayashi, T. et al. Visualization of multi-scale turbulent structure in lobed mixing jet using wavelets. J Vis 4, 231–238 (2001). https://doi.org/10.1007/BF03182583
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF03182583