the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Estimating the turbulent kinetic energy dissipation rate from one-dimensional velocity measurements in time
Marcel Schröder
Tobias Bätge
Eberhard Bodenschatz
Michael Wilczek
Gholamhossein Bagheri
Abstract. The turbulent kinetic energy dissipation rate is one of the most important quantities characterizing turbulence. Experimental studies of a turbulent flow in terms of the energy dissipation rate often rely on one-dimensional measurements of the flow velocity fluctuations in time. In this work, we first use Direct Numerical Simulation (DNS) of Stationary Homogeneous Isotropic (SHI) turbulence at Taylor-scale Reynolds numbers 74 ≤ Rλ ≤ 321 to evaluate different methods for inferring the energy dissipation rate from one-dimensional velocity time records. We systematically investigate the influence of the finite turbulence intensity and the misalignment between the mean flow direction and the measurement probe, and derive analytical expressions for the errors associated with these parameters. We further investigate how statistical averaging for different time windows affects the results as a function of Rλ. The results are then combined with Max Planck Variable Density Turbulence Tunnel (VDTT) hot-wire measurements at 147 ≤ Rλ ≤ 5864 to investigate flow conditions similar to those in the atmospheric boundary layer.
Marcel Schröder et al.
Status: open (until 12 Jun 2023)
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RC1: 'Comment on amt-2023-63', Anonymous Referee #1, 16 May 2023
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Please refer to my attached review in the pdf file.
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RC2: 'Comment on amt-2023-63', Anonymous Referee #2, 23 May 2023
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MANUSCRIPT NUMBER: AMT-2023-63 Referee #2
Title: Estimating the turbulent kinetic energy dissipation rate from
one-dimensional velocity measurements in time
Recommendation:
The manuscript investigates the potential errors in the estimation of the local turbulent kinetic energy dissipation rate. The original aspect is the use of fully resolved DNS of statistically stationary, homogeneous, isotropic turbulence to estimate the energy dissipation rate by applying to simulation data the different methodologies commonly used by experimental scientists from time-dependent single point one-dimensional velocity measurements sampled in the atmospheric boundary layer.
The DNS data are used as ‘ground-truth reference’ for comparing the various estimation techniques used for extracting the time-dependent energy dissipation rate from non-ideal turbulent flows and for assessing the influence of different potential causes of errors, such as (among the most relevant) the size of averaging window, the turbulence intensity, the large-scale random flow velocities, or the anemometer misalignment.
The topic is extremely interesting because the turbulent kinetic energy dissipation rate is one of the most fundamental quantities in turbulence and it is crucial to accurately derive the errors associated to the different methodologies commonly used to derive it.
I read the review of the Referee #1 and globally I agree with his comments. Surely the manuscript is well written and organized and the obtained results interesting and original. Probably is ‘too much’ and should be simplified by cutting some details or some theoretical part, as already highlighted by the Referee #1. However, the paper is of excellent quality and I recommend to accept the paper.
Citation: https://doi.org/10.5194/amt-2023-63-RC2
Marcel Schröder et al.
Marcel Schröder et al.
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