08 May 2023
 | 08 May 2023
Status: this preprint is currently under review for the journal AMT.

Estimating the turbulent kinetic energy dissipation rate from one-dimensional velocity measurements in time

Marcel Schröder, Tobias Bätge, Eberhard Bodenschatz, Michael Wilczek, and 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 reply
  • RC2: 'Comment on amt-2023-63', Anonymous Referee #2, 23 May 2023 reply

Marcel Schröder et al.

Marcel Schröder et al.


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Short summary
The rate at which energy is dissipated in a turbulent flow is an extremely important quantity. In the atmosphere, it is usually measured by recording a velocity time at a specific location. Our goal is to understand how best to estimate the dissipation rate from such data based on various available methods. Our reference for evaluating the performance of the different methods is data generated with numerical simulations and in highly controlled laboratory setups.