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Accession Number:
ADA247116
Title:
Potential Refractivity as a Similarity Variable
Descriptive Note:
Journal article
Corporate Author:
NAVAL OCEANOGRAPHIC AND ATMOSPHERIC RESEARCH LAB MONTEREY CA
Report Date:
1992-01-01
Pagination or Media Count:
10.0
Abstract:
The validity of a common radiometeorological application of Monin-Obukhov M-0 similarity theory to potential refractivity Chi, which is a nonlinear combination of theta and q, is determined by whether the properly nondimensionalized chi gradient is a universal function of ZL. We develop expressions for the flux of chi and its scaling parameter, chi in terms of temperature and moisture fluxes, and an M-O similarity expression for the vertical chi gradient. Results show that even is theta and q are accepted as exactly following M-O similarity expressions, when the surface layer is stable, chi does not obey such an expression. That is, when properly nondimensionalized, the vertical gradient of chi does not collapse to a single universal function of ZL. The assumption that chi behaves as a similarity variable is approximately correct for well-mixed surface layers under unstable and near-neutral conditions. The gradient of chi is an important factor in determining microwave propagation conditions. We demonstrate the error induced in a simple algorithm when chi is assumed to obey M-O similarity theory. An alternative methodology, consistent with the application of similarity theory to theta and q, is then developed without requiring that chi itself satisfy similarity theory.
Distribution Statement:
APPROVED FOR PUBLIC RELEASE