inertial range

From Glossary of Meteorology
(Also called inertial subrange.) The range of length scales over which energy is transferred and dissipation due to molecular viscosity is negligible.

The power spectrum has power law behavior over the inertial range. In two-dimensional turbulence the power spectrum is theoretically proportional to k-3 in which k is the wavenumber, and in three-dimensional turbulence the power spectrum is theoretically proportional to k-5/3. The latter is known as the Kolmogorov minus 5/3 law.

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.