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On the spatial resolution of velocity and velocity gradient-based turbulence statistics measured with multi-sensor hot-wire probes
Authors:P. V. Vukoslavčević  N. Beratlis  E. Balaras  J. M. Wallace  O. Sun
Affiliation:(1) Masinski Fakultet, University of Montenegro, 81000 Podgorica, Montenegro;(2) Department of Mechanical Engineering, University of Maryland, College Park, MD 20742, USA;(3) Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218, USA
Abstract:A highly resolved turbulent channel flow direct numerical simulation with Re τ = 200 has been used to investigate the ability of 12-sensor hot-wire probes to accurately measure velocity and velocity gradient based turbulence statistics. Various virtual sensor separations have been tested in order to study the effects of spatial resolution on the measurements. First, the effective cooling velocity has been determined for each sensor for (1) an idealized probe where the influence of the velocity component tangential to the sensors and flow blockage by the presence of the prongs and the finite lengths of and thermal cross-talk between the sensors are neglected and, (2) for a real probe, the characteristics of which have been determined experimentally. Then, simulating the response of the virtual probes for these two cases to obtain the effective velocities cooling the sensors, velocity and vorticity component statistics have been calculated by assuming the velocity gradients to be constant over the probe sensing area.
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