Taylor's diffusion theorem

From Glossary of Meteorology



Taylor's diffusion theorem

The theorem of G. I. Taylor in the statistical theory of atmospheric turbulence:
ams2001glos-Te6
where x is the distance traveled by a particle in the time interval T, u is the fluctuation or eddy velocity of the particle, and R(ξ) is the Lagrangian correlation coefficient between the particle's velocity at time t and t + s.


Copyright 2024 American Meteorological Society (AMS). For permission to reuse any portion of this work, please contact permissions@ametsoc.org. Any use of material in this work that is determined to be “fair use” under Section 107 of the U.S. Copyright Act (17 U.S. Code § 107) or that satisfies the conditions specified in Section 108 of the U.S.Copyright Act (17 USC § 108) does not require AMS’s permission. Republication, systematic reproduction, posting in electronic form, such as on a website or in a searchable database, or other uses of this material, except as exempted by the above statement, require written permission or a license from AMS. Additional details are provided in the AMS Copyright Policy statement.