Taylor Microscale

Taylor Microscale

Taylor microscale refers to a spatial microscale that is calculated based on measurements taken simultaneously at different locations. It represents an average of the largest and smallest scales in a turbulent flow and is related to velocity derivatives and energy dissipation rate, ε.From: Environmental Fluid Mechanics [2001], Characterization of Turbulence in an Optically Accessible Fan-Stirred Spherical Combustion Chamber [2021], Multiphase Particulate Systems in Turbulent Flows [2019]

Theory of two-dimensional flow structures

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Published in Iehisa Nezu, Hiroji Nakagawa, Turbulence in Open-Channel Flows, 2017

Iehisa Nezu, Hiroji Nakagawa

λ is known as the ‘Taylor microscale’. Also, kw2⋅S(kw) is the dissipation spectrum because it governs the dissipation rate ε in the spectral space. One can readily see from (2.35) that the turbulent dissipation is biased toward the higher wave-number ranges, i.e., toward the smaller-scale eddies.

Preliminary Concepts

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Published in Hillel Rubin, Joseph Atkinson, Environmental Fluid Mechanics, 2001

Hillel Rubin, Joseph Atkinson

The equivalent calculations for spatial scales, based on measurements taken simultaneously at a set of different locations, leads to a corresponding spatial microscale called the Taylor microscale. In other words, the auto-correlation coefficient in space is calculated as

Characterization of Turbulence in an Optically Accessible Fan-Stirred Spherical Combustion Chamber

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Journal Information

Published in Combustion Science and Technology, 2021

Ossama A. Mannaa, Morkous S. Mansour, Suk Ho Chung, William L. Roberts

The Taylor microscale (Corrsin 1963; Fulachier and Antonia 1983) represents an average of the largest and smallest scales in a turbulent flow. Alternatively, it is an approximate measure of the thin shear layer scale where viscous dissipation takes place (Mathieu and Scott 2000). The eddies of characteristic Taylor size are known to be most active (Gülder 2007). This can be determined by constructing a parabolic fit to the autocorrelation function as depicted in Figure 7a, which is given by:

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Theory of two-dimensional flow structures

Preliminary Concepts

Characterization of Turbulence in an Optically Accessible Fan-Stirred Spherical Combustion Chamber