Articles | Volume 17, issue 2
https://doi.org/10.5194/amt-17-627-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/amt-17-627-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
26 Jan 2024
Research article |
| 26 Jan 2024
| 26 Jan 2024
Estimating the turbulent kinetic energy dissipation rate from one-dimensional velocity measurements in time
Marcel Schröder
Max Planck Institute for Dynamics and Self-Organization (MPIDS), Am Faßberg 17, 37077 Göttingen, Germany
Faculty of Physics, University of Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany
Tobias Bätge
Max Planck Institute for Dynamics and Self-Organization (MPIDS), Am Faßberg 17, 37077 Göttingen, Germany
Faculty of Physics, University of Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany
Eberhard Bodenschatz
Max Planck Institute for Dynamics and Self-Organization (MPIDS), Am Faßberg 17, 37077 Göttingen, Germany
Faculty of Physics, University of Göttingen, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany
Physics Department, Cornell University, 523 Clark Hall, Ithaca, NY 14853, USA
Michael Wilczek
Max Planck Institute for Dynamics and Self-Organization (MPIDS), Am Faßberg 17, 37077 Göttingen, Germany
Theoretical Physics I, University of Bayreuth, Universitätsstr. 30, 95447 Bayreuth, Germany
Gholamhossein Bagheri
CORRESPONDING AUTHOR
Max Planck Institute for Dynamics and Self-Organization (MPIDS), Am Faßberg 17, 37077 Göttingen, Germany
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20 citations as recorded by crossref.
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- Extreme wall shear stress events in turbulent pipe flow: Insights from the azimuthal wall shear stress H. Fei et al. https://doi.org/10.1103/s267-jcp6
- Scale‐by‐scale budget of turbulence kinetic energy in the convective atmospheric boundary layer: Analysis of structure functions J. Nowak et al. https://doi.org/10.1002/qj.4879
- Turbulent dissipation rate and length-scale anisotropy through passive grid turbulence P. Raushan et al. https://doi.org/10.1063/5.0250060
- Probing Dissipation Rate of Turbulent Kinetic Energy in the Marine Atmospheric Boundary Layer with Scanning Doppler LiDAR S. Roy et al. https://doi.org/10.1007/s10546-026-00977-6
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- Experimental Investigation of Turbulence Inside an Annular Turbine Exit Guide Vane Cascade With Unsteady Wakes and Purged Cavity Using Constant Temperature Anemometry L. Paier et al. https://doi.org/10.1115/1.4069522
- Development of an Innovative Mechanical–Aeraulic Device for Sustainable Vector Control of Nymphs of Philaenus spumarius F. Paciolla et al. https://doi.org/10.3390/agriculture15242609
- Investigation of non-equilibrium turbulence decay in the atmospheric boundary layer using Doppler lidar measurements M. Karasewicz et al. https://doi.org/10.5194/acp-24-13231-2024
- Numerical Study of Entropy Production in a Fluidic Oscillator J. Dávalos et al. https://doi.org/10.3390/e28040437
- Angular Velocity of Kolmogorov-Scale Fibers as Proxy for Turbulent Dissipation D. Zaza et al. https://doi.org/10.1103/kcmw-5dph
- Quantifying small-scale anisotropy in turbulent flows S. Chowdhuri & T. Banerjee https://doi.org/10.1103/PhysRevFluids.9.074604
- Numerical Simulation of Heat and Mass Transfer in Livestock Facilities with Energy-Efficient Negative-Pressure Ventilation G. Kaletnik et al. https://doi.org/10.21272/jes.2025.12(2).g3
- Effect of inflow conditions on tip vortex breakdown in a high Reynolds number wind turbine wake M. Grunwald & C. Brunner https://doi.org/10.1103/5phx-7dhk
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- Hot-Wire Investigation of Turbulent Flow over Vibrating Low-Pressure Turbine Blade Cascade V. Yanovych et al. https://doi.org/10.3390/pr13040926
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20 citations as recorded by crossref.
- Study of the effect of the microfluidic effect on reducing the reaction times S. Valentinovich & C. German https://doi.org/10.1051/epjconf/202635101015
- Numerical Investigation of the Combustion Characteristics of a Hydrogen-Fueled Engine with Water Injection Q. Yao et al. https://doi.org/10.3390/fire7080289
- Extreme wall shear stress events in turbulent pipe flow: Insights from the azimuthal wall shear stress H. Fei et al. https://doi.org/10.1103/s267-jcp6
- Scale‐by‐scale budget of turbulence kinetic energy in the convective atmospheric boundary layer: Analysis of structure functions J. Nowak et al. https://doi.org/10.1002/qj.4879
- Turbulent dissipation rate and length-scale anisotropy through passive grid turbulence P. Raushan et al. https://doi.org/10.1063/5.0250060
- Probing Dissipation Rate of Turbulent Kinetic Energy in the Marine Atmospheric Boundary Layer with Scanning Doppler LiDAR S. Roy et al. https://doi.org/10.1007/s10546-026-00977-6
- Vertical Velocity-Heat Flux Coupling Effects in Nonequilibrium Atmospheric Turbulence: Observational Validation and Model Optimization 丽. 刘 https://doi.org/10.12677/ag.2025.159124
- Experimental Investigation of Turbulence Inside an Annular Turbine Exit Guide Vane Cascade With Unsteady Wakes and Purged Cavity Using Constant Temperature Anemometry L. Paier et al. https://doi.org/10.1115/1.4069522
- Development of an Innovative Mechanical–Aeraulic Device for Sustainable Vector Control of Nymphs of Philaenus spumarius F. Paciolla et al. https://doi.org/10.3390/agriculture15242609
- Investigation of non-equilibrium turbulence decay in the atmospheric boundary layer using Doppler lidar measurements M. Karasewicz et al. https://doi.org/10.5194/acp-24-13231-2024
- Numerical Study of Entropy Production in a Fluidic Oscillator J. Dávalos et al. https://doi.org/10.3390/e28040437
- Angular Velocity of Kolmogorov-Scale Fibers as Proxy for Turbulent Dissipation D. Zaza et al. https://doi.org/10.1103/kcmw-5dph
- Quantifying small-scale anisotropy in turbulent flows S. Chowdhuri & T. Banerjee https://doi.org/10.1103/PhysRevFluids.9.074604
- Numerical Simulation of Heat and Mass Transfer in Livestock Facilities with Energy-Efficient Negative-Pressure Ventilation G. Kaletnik et al. https://doi.org/10.21272/jes.2025.12(2).g3
- Effect of inflow conditions on tip vortex breakdown in a high Reynolds number wind turbine wake M. Grunwald & C. Brunner https://doi.org/10.1103/5phx-7dhk
- Dissipation Scaling with a Variable Cϵ Coefficient in the Stable Atmospheric Boundary Layer M. Wacławczyk et al. https://doi.org/10.3390/atmos16020188
- Hot-Wire Investigation of Turbulent Flow over Vibrating Low-Pressure Turbine Blade Cascade V. Yanovych et al. https://doi.org/10.3390/pr13040926
- Smagorinsky constant distribution and turbulent energy dissipation in high Reynolds Number cavity flow P. Wang et al. https://doi.org/10.1063/5.0274909
- Optimized syngas mixer design for dual‐fuel diesel engines: A CFD‐driven approach to enhance efficiency K. Ibrahim et al. https://doi.org/10.1002/cjce.70115
- Max Planck WinDarts: atmospheric boundary layer measurements with the Max Planck CloudKite platform and ground weather station – a data overview V. Chávez-Medina et al. https://doi.org/10.5194/essd-18-4263-2026
Saved (final revised paper)
Latest update: 25 Jun 2026
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 direct numerical simulations and in highly controlled laboratory setups.
The rate at which energy is dissipated in a turbulent flow is an extremely important quantity....
