Dual-plane stereo particle image velocimetry measurements of velocity gradient tensor fields in turbulent shear flow. II. Experimental results
dc.contributor.author | Mullin, John A. | en_US |
dc.contributor.author | Dahm, Werner J. A. | en_US |
dc.date.accessioned | 2011-11-15T16:02:22Z | |
dc.date.available | 2011-11-15T16:02:22Z | |
dc.date.issued | 2006-03 | en_US |
dc.identifier.citation | Mullin, John A.; Dahm, Werner J. A. (2006). "Dual-plane stereo particle image velocimetry measurements of velocity gradient tensor fields in turbulent shear flow. II. Experimental results." Physics of Fluids 18(3): 035102-035102-28. <http://hdl.handle.net/2027.42/87499> | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/87499 | |
dc.description.abstract | Results are presented from highly resolved dual-plane stereo particle image velocimetry (DSPIV) measurements for the structure, statistics, similarity, and scaling of all nine simultaneous components of the velocity gradient tensor fields ∂ui/∂xj∂ui∕∂xj on the quasi-universal intermediate and small scales of turbulent shear flows. Measurements were obtained at three combinations of the outer-scale Reynolds number ReδReδ and the local mean shear rate SS in the fully developed self-similar far field of a turbulent jet, and thus reflect the combined effects of the large-scale structure, spatial inhomogeneities, and anisotropies inherent in such a flow. Conditions addressed in this study correspond to local outer-scale Reynolds numbers Reδ = 6,000Reδ=6,000 and 30,000 and local mean shear values Sδ/uc = 0Sδ∕uc=0 and 1.7, corresponding to Taylor-scale Reynolds numbers Reλ ≈ 44Reλ≈44 and 113 and shear rates Sk/ε = 0Sk∕ε=0 and 2.1. Gradient fields investigated here include the individual velocity gradient component fields, the strain rate component fields and the associated principal strain rates, the vorticity component fields and their orientations with respect to the principal strain axes, the enstrophy and enstrophy production rate fields, and the true kinetic energy dissipation rate field. Results normalized on both inner- and outer-scale variables are presented to allow interpretation relative to the similarity and scaling implied by classical turbulence theory. For both ReδReδ values at S = 0S=0, results show that most aspects of these gradient fields are essentially in agreement with the predictions from homogeneous isotropic turbulence, while for S ≠ 0S≠0 there are significant and consistent departures from isotropy. Results also provide direct measurements of the exponential scaling factors in the left and right tails of the velocity gradient distributions, as well as quantification of the inner (viscous) length scales in the enstrophy and dissipation rate fields. In addition, strong evidence for multifractal scale similarity at length scales greater than about twice the viscous length λνλν is found in both the enstrophy and dissipation rate fields. | en_US |
dc.publisher | The American Institute of Physics | en_US |
dc.rights | © The American Institute of Physics | en_US |
dc.title | Dual-plane stereo particle image velocimetry measurements of velocity gradient tensor fields in turbulent shear flow. II. Experimental results | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Physics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Laboratory for Turbulence & Combustion (LTC), Department of Aerospace Engineering, The University of Michigan, Ann Arbor, Michigan 48109-2140 | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/87499/2/035102_1.pdf | |
dc.identifier.doi | 10.1063/1.2166448 | en_US |
dc.identifier.source | Physics of Fluids | en_US |
dc.identifier.citedreference | A. Pumir and B. I. Schraiman, “Persistent small scale anisotropy in homogeneous shear flows,” Phys. Rev. Lett. 75, 3114 (1995). | en_US |
dc.identifier.citedreference | K. R. Sreenivasan and R. A. Antonia, “The phenomenology of small-scale turbulence,” Annu. Rev. Fluid Mech. 29, 435 (1997). | en_US |
dc.identifier.citedreference | S. Garg and Z. Warhaft, “On the small scale structure of simple shear flow,” Phys. Fluids 10, 662 (1998). | en_US |
dc.identifier.citedreference | L. Biferale and M. Vergassola,“Isotropy vs anisotropy in small-scale turbulence,” Phys. Fluids 13, 2139 (2001). | en_US |
dc.identifier.citedreference | K. A. Buch and W. J. A. Dahm, “Experimental study of the fine-scale structure of conserved scalar mixing in turbulent flows. Part 1. Sc≪1Sc≪1,” J. Fluid Mech. 317, 21 (1996). | en_US |
dc.identifier.citedreference | K. A. Buch and W. J. A. Dahm, “Experimental study of the fine-scale structure of conserved scalar mixing in turbulent flows. Part 2. Sc ≈ 1Sc≈1,” J. Fluid Mech. 364, 1 (1998). | en_US |
dc.identifier.citedreference | W. J. A. Dahm and K. B. Southerland, “Quantitative flow visualization via fully resolved four-dimensional spatio-temporal imaging,” in Flow Visualization: Techniques and Examples, edited by A. Smits and T. T. Lim (Imperial College, London, 1999), pp. 231–258. | en_US |
dc.identifier.citedreference | L. K. Su and N. T. Clemens, “Planar measurements of the full three-dimensional scalar dissipation rate in gas-phase turbulent flows,” Exp. Fluids 27, 507 (1999). | en_US |
dc.identifier.citedreference | L. K. Su and N. T. Clemens, “The structure of fine-scale scalar mixing in gas-phase planar turbulent jets,” J. Fluid Mech. 488, 1 (2003). | en_US |
dc.identifier.citedreference | C. A. Friehe, C. W. Van Atta, and C. H. Gibson, “Jet turbulence: dissipation rate measurements and correlations,” AGARD Conf. Proc. CP-93, 18-1 (1971). | en_US |
dc.identifier.citedreference | M. Nelkin, “Universality and scaling in fully developed turbulence,” Adv. Geophys. 43, 143 (1994). | en_US |
dc.identifier.citedreference | G. Stolovitsky, P. P. Kailasanath, , and K. R. Sreenivasan, “Refined similarity hypotheses for passive scalars mixed by turbulence,” J. Fluid Mech. 297, 275 (1995). | en_US |
dc.identifier.citedreference | W. J. A. Dahm, and K. B. Southerland, “Experimental assessment of Taylor's hypothesis and its applicability to dissipation estimates in turbulent flows,” Phys. Fluids 9, 2101 (1997). | en_US |
dc.identifier.citedreference | M. M. Rogers and P. Moin, “The structure of the vorticity field in homogeneous turbulent flows,” J. Fluid Mech. 176, 33 (1987). | en_US |
dc.identifier.citedreference | S. Tavoularis and S. Corrsin, “Experiments in nearly homogeneous turbulent shear flow with a uniform mean temperature gradient. Part 1,” J. Fluid Mech. 104, 311 (1981). | en_US |
dc.identifier.citedreference | M. Ferchichi and S. Tavoularis, “Reynolds number effects on the fine structure of uniformly sheared turbulence,” Phys. Fluids 12, 2942 (2000). | en_US |
dc.identifier.citedreference | J. A. Mullin and W. J. A. Dahm, “Dual-plane stereo particle image velocimetry (DSPIV) for measuring velocity gradients at intermediate and small scales of turbulent flows,” Exp. Fluids 38, 185 (2005). | en_US |
dc.identifier.citedreference | J. A. Mullin and W. J. A. Dahm, “Dual-plane stereo particle image velocimetry measurements of velocity gradient tensor fields in turbulent shear flow. I. Accuracy assessments,” Phys. Fluids 18, 035101 (2006). | en_US |
dc.identifier.citedreference | S. Biringen, “An experimental investigation of an axisymmetric jet issuing into a coflowing stream,” VKI Technical Note 110 (1975). | en_US |
dc.identifier.citedreference | T. B. Nickels and A. E. Perry, “An experimental and theoretical study of the turbulent coflowing jet,” J. Fluid Mech. 309, 157 (1996). | en_US |
dc.identifier.citedreference | J. A. Mullin, “A study of velocity gradient fields at the intermediate and small scales of turbulent shear flows via dual-plane stereo particle image velocimetry,” Ph.D. dissertation, The University of Michigan, Ann Arbor, MI (2004). | en_US |
dc.identifier.citedreference | J. Jimenez, A. A. Wray, P. G. Saffman, and R. S. Rogallo, “The structure of intense vorticity in isotropic turbulence,” J. Fluid Mech. 255, 65 (1993). | en_US |
dc.identifier.citedreference | T. Gotoh, D. Fukayama, and T. Nakano, “Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation,” Phys. Fluids 14, 1065 (2002). | en_US |
dc.identifier.citedreference | A. Tsinober, E. Kit, and T. Dracos, “Experimental investigation of the field of velocity gradients in turbulent flows,” J. Fluid Mech. 242, 169 (1992). | en_US |
dc.identifier.citedreference | T. Gotoh, “Probability density functions in steady-state Burgers turbulence,” Phys. Fluids 11, 2143 (1999). | en_US |
dc.identifier.citedreference | B. Tao, J. Katz, and C. Meneveau, “Statistical geometry of subgridscale stresses determined from holographic particle image velocimetry measurements,” J. Fluid Mech. 457, 35 (2002). | en_US |
dc.identifier.citedreference | T. S. Lund and M. M. Rogers, “An improved measure of strain rate probability in turbulent flows,” Phys. Fluids 6, 1838 (1994). | en_US |
dc.identifier.citedreference | W. T. Ashurst, A. R. Kerstein, R. M. Kerr, and C. H. Gibson, “Alignment of vorticity and scalar gradient in simulated Navier-Stokes turbulence,” Phys. Fluids 30, 2343 (1987). | en_US |
dc.identifier.citedreference | L. K. Su and W. J. A. Dahm, “Scalar imaging velocimetry measurements of the velocity gradien tensor field in turbulent flows. I. Assessment of errors,” Phys. Fluids 8, 1869 (1996). | en_US |
dc.identifier.citedreference | L. K. Su and W. J. A. Dahm, “Scalar imaging velocimetry measurements of the velocity gradient tensor field in turbulent flows. II. Experimental results,” Phys. Fluids 8, 1883 (1996). | en_US |
dc.identifier.citedreference | L. Ong and J. M. Wallace, “Joint probability density analysis of the structure and dynamics of the vorticity field of a turbulent boundary layer,” J. Fluid Mech. 367, 291 (1998). | en_US |
dc.identifier.citedreference | J. Jimenez, “Kinematic alignment effects in turbulent flows,” Phys. Fluids A 4, 652 (1992). | en_US |
dc.identifier.citedreference | V. Yakhot, “Pressure-velocity correlations and scaling exponents in turbulence,” J. Fluid Mech. 495, 135 (2003). | en_US |
dc.identifier.citedreference | W. J. A. Dahm and K. A. Buch, “Lognormality of the scalar dissipation pdf in turbulent flows,” Phys. Fluids A 1, 1290 (1989). | en_US |
dc.identifier.citedreference | K. A. Buch, “Fine scale structure of conserved scalar mixing in turbulent shear flows: Sc≫1Sc≫1, Sc ≈ 1Sc≈1 and implications for reacting flows,” Report No. 026779-5, Department of Aerospace Engineering, The University of Michigan (1991) . | en_US |
dc.identifier.citedreference | C. Meneveau and K. R. Sreenivasan, “Simple multifractal cascade model for fully developed turbulence,” Phys. Rev. Lett. 59, 1424 (1987). | en_US |
dc.identifier.citedreference | C. Meneveau and K. R. Sreenivasan, “The multifractal nature of the turbulent energy dissipation,” J. Fluid Mech. 224, 429 (1991). | en_US |
dc.identifier.citedreference | K. R. Sreenivasan, “Fractals and multifractals in fluid dynamics,” Annu. Rev. Fluid Mech. 23, 539 (1991). | en_US |
dc.identifier.citedreference | E. Siggia, “Numerical study of small-scale intermittency in three-dimensional turbulence,” J. Fluid Mech. 107, 375 (1981). | en_US |
dc.identifier.citedreference | R. Kerr, “Higher-order derivative correlations and the alignment of small-scale structures in isotropic numerical turbulence,” J. Fluid Mech. 153, 31 (1985). | en_US |
dc.identifier.citedreference | S. Chen, K. R. Sreenivasan, and M. Nelkin, “Inertial range scalings of dissipation and enstrophy in isotropic turbulence,” Phys. Rev. Lett. 79, 1253 (1997). | en_US |
dc.identifier.citedreference | C. Meneveau, K. R. Sreenivasan, P. Kailasnath, and M. S. Fan, “Joint multifractal measures: Theory and applications to turbulence,” Phys. Rev. A 41, 894 (1990). | en_US |
dc.identifier.citedreference | V. L’vov and I. Procaccia, “The universal scaling exponents of anisotropy in turbulence and their measurement,” Phys. Fluids 8, 2565 (1996). | en_US |
dc.identifier.citedreference | M. Nelkin, “Enstrophy and dissipation must have the same scaling exponent in the high Reynolds number limit of fluid turbulence,” Phys. Fluids 11, 2202 (1999). | en_US |
dc.identifier.citedreference | R. D. Frederiksen, W. J. A. Dahm, and D. R. Dowling, “Experimental assessment of fractal scale similarity in turbulent flows. Part 3. Multifractal scaling,” J. Fluid Mech. 378, 127 (1997). | en_US |
dc.identifier.citedreference | C. J. Kähler and J. Kompenhans, “Multiple plane stereo PIV: Technical realization and fluid mechanical significance,” in Proceedings of the 3rd International Workshop on PIV, Santa Barbara (1999). | en_US |
dc.identifier.citedreference | H. Hu, T. Saga, T. Kobayashi, N. Taniguchi, and M. Yasuki, “Dual-plane stereoscopic particle image velocimetry: System set-up and its application on a lobed jet mixing flow,” Exp. Fluids 31, 277 (2001). | en_US |
dc.identifier.citedreference | J. A. Mullin and W. J. A. Dahm, “Highly resolved three-dimensional velocity measurments via dual-plane stereo particle image velocimetry (DSPIV) in turbulent flows,” AIAA Paper No. 2002-0290 (2002). | en_US |
dc.identifier.citedreference | C. J. Kähler, M. Stanislas, and J. Kompenhans, “Spatio-temporal flow structure investigation of near-wall turbulence by means of multiplane stereo particle image velocimetry,” in Proceedings of the 11th International. Symposium on Applications of Laser Technology to Fluid Mechanics, Lisbon, Portugal (2002). | en_US |
dc.identifier.citedreference | J. A. Mullin and W. J. A. Dahm, “Dual-plane stereo PIV (DSPIV) measurements of the velocity gradient tensor field at the small scales of turbulent flows,” in Proceedings of the 3rd International Conference on Turbulence and Shear Flow Processes, Sendai, Japan (2003). | en_US |
dc.identifier.citedreference | C. J. Kähler, “Investigation of the spatio-temporal flow structure in the buffer region of a turbulent boundary layer by means of multiplane stereo PIV,” Exp. Fluids 36, 114 (2004). | en_US |
dc.identifier.citedreference | B. Ganapathisubramani, E. K. Longmire, I. Marusic, and S. Pothos, “Dual-plane PIV technique to resolve complete velocity gradient tensor in a turbulent boundary layer,” in Proceedings of the 12th International Symposium on Applied Laser Technology to Fluid Mechanics, Lisbon, Portugal (2004). | en_US |
dc.owningcollname | Physics, Department of |
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