REYNOLDS' LIMIT FORMULA FOR DORODNITZYN'S
ATMOSPHERIC BOUNDARY LAYER MODEL
IN CONVECTIVE CONDITIONS
C.V. Valencia-Negrete1, C. Gay-García2, A.A. Carsteanu3
1,3Superior School of Physics and Mathematics (ESFM-IPN)
National Polytechnic Institute
Mexico City, 07738, MEXICO
2Centre of Atmospheric Sciences (CCA-UNAM)
National Autonomous University of Mexico
Mexico City, 04510 MÉXICO

Abstract

Atmospheric convection is an essential aspect of atmospheric movement, and it is a source of errors in Climate Models. Being able to generate approximate limit formulas and compare the estimations they produce, could give a way to reduce them. In this article, it is shown that it is enough to assume that the velocity's $L^2$-norm is bounded, has locally integrable, $L^1_{loc}$, weak partial derivatives up to order two, and a negligible variation of its first velocity's coordinate in direction parallel to the surface, to obtain a Reynolds' limit formula for a Dorodnitzyn's compressible gaseous Boundary Layer in atmospheric conditions.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 31
Issue: 4
Year: 2018

DOI: 10.12732/ijam.v31i4.12

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