caa a22 4500 60619861X CHVBK 20210128100934.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s00348-015-1945-3 doi (NATIONALLICENCE)springer-10.1007/s00348-015-1945-3 Large-eddy estimate of the turbulent dissipation rate using PIV [Elektronische Daten] [Guus Bertens, Dennis van der Voort, Humberto Bocanegra-Evans, Willem van de Water] The result of a particle image velocimetry (PIV) measurement is a velocity field averaged over interrogation windows. This severely affects the measurement of small-scale turbulence quantities when the interrogation window size is much larger than the smallest length-scale in turbulence, the Kolmogorov length. In particular, a direct measurement of the dissipation rate demands the measurement of gradients of the velocity field, which are now underestimated because the small-scale motion is not resolved. A popular procedure is to relate the statistical properties of the measured, but underresolved gradients to those of the true ones, invoking a large-eddy argument (Sheng et al. in Chem Eng Sci 55(20):4423-4434, 2000). We argue that the used proportionality constant, the Smagorinsky constant, should depend on the window overlap, on the used elements of the strain tensor, and on the way in which derivatives are approximated. Using an analytic description, PIV measurements of velocity fields from a kinematic simulation and experiments in a synthetic jet-driven turbulent flow with zero mean velocity, we propose new values for this constant. The Author(s), 2015 Bertens Guus J M Burgerscentrum, Faculty of Applied Physics, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands aut van der Voort Dennis J M Burgerscentrum, Faculty of Applied Physics, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands aut Bocanegra-Evans Humberto J M Burgerscentrum, Faculty of Applied Physics, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands aut van de Water Willem J M Burgerscentrum, Faculty of Applied Physics, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands aut Experiments in Fluids Springer Berlin Heidelberg 56/5(2015-05-01), 1-9 0723-4864 56:5<1 2015 56 348 https://doi.org/10.1007/s00348-015-1945-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00348-015-1945-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bertens Guus J M Burgerscentrum, Faculty of Applied Physics, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 700 1- van der Voort Dennis J M Burgerscentrum, Faculty of Applied Physics, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 700 1- Bocanegra-Evans Humberto J M Burgerscentrum, Faculty of Applied Physics, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 700 1- van de Water Willem J M Burgerscentrum, Faculty of Applied Physics, Technische Universiteit Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands aut NATIONALLICENCE 773 0- Experiments in Fluids Springer Berlin Heidelberg 56/5(2015-05-01), 1-9 0723-4864 56:5<1 2015 56 348