Taylor's Frozen Turbulence: Difference between revisions

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Provide the original citation of Taylor's hypothesis, and elaborate the meaning of "properties".
 
 
Taylor’s frozen turbulence hypothesis (sometimes "frozen field" or "frozen eddy")<ref>Taylor GI (1938) The spectrum of turbulence. Proc Roy Soc Lond 164: 476–490 https://doi.org/10.1098/rspa.1938.0032</ref> is a primary assumption invoked when seeking to quantify turbulence physics using time-resolving sensors<ref>Higgins, C.W., Froidevaux, M., Simeonov, V., Vercauteren, N., Barry, C. and Parlange, M.B., 2012. The effect of scale on the applicability of Taylor’s frozen turbulence hypothesis in the atmospheric boundary layer. Boundary-layer meteorology, 143(2), pp.379-391. https://doi.org/10.1007/s10546-012-9701-1</ref>.  Thus it is applicable to the shear and velocimeter approaches described here.
 
As an instrument measures the fluctuations of a variable such as velocity, shear, or temperature with a sensor at one location for a period of time the effect of eddies is observed as they drift by the sensor.  However, the eddies could be changing size and shape as they drift by the sensor.  Solviev and Lukas reduce the practical suitability of any situation to requirement that the fluctuations are within 10% of its mean speed past the sensor<ref>Soloviev, A. and Lukas, R., 2003. Observation of wave-enhanced turbulence in the near-surface layer of the ocean during TOGA COARE. Deep Sea Research Part I: Oceanographic Research Papers, 50(3), pp.371-395. doi:10.1016/S0967-0637(03)00004-9 </ref>.
 
==Notes==

Latest revision as of 20:00, 1 December 2021


Short definition of Taylor's Frozen Turbulence
The turbulence eddies advected past a sensor (or that a sensor is passing through) retain their properties

This is the common definition for Taylor's Frozen Turbulence, but other definitions maybe discussed within the wiki.



Taylor’s frozen turbulence hypothesis (sometimes "frozen field" or "frozen eddy")[1] is a primary assumption invoked when seeking to quantify turbulence physics using time-resolving sensors[2]. Thus it is applicable to the shear and velocimeter approaches described here.

As an instrument measures the fluctuations of a variable such as velocity, shear, or temperature with a sensor at one location for a period of time the effect of eddies is observed as they drift by the sensor. However, the eddies could be changing size and shape as they drift by the sensor. Solviev and Lukas reduce the practical suitability of any situation to requirement that the fluctuations are within 10% of its mean speed past the sensor[3].

Notes

  1. Taylor GI (1938) The spectrum of turbulence. Proc Roy Soc Lond 164: 476–490 https://doi.org/10.1098/rspa.1938.0032
  2. Higgins, C.W., Froidevaux, M., Simeonov, V., Vercauteren, N., Barry, C. and Parlange, M.B., 2012. The effect of scale on the applicability of Taylor’s frozen turbulence hypothesis in the atmospheric boundary layer. Boundary-layer meteorology, 143(2), pp.379-391. https://doi.org/10.1007/s10546-012-9701-1
  3. Soloviev, A. and Lukas, R., 2003. Observation of wave-enhanced turbulence in the near-surface layer of the ocean during TOGA COARE. Deep Sea Research Part I: Oceanographic Research Papers, 50(3), pp.371-395. doi:10.1016/S0967-0637(03)00004-9