Reynolds' limit formula for Dorodnitzyn's atmospheric Boundary layer model in convective conditions

C. V. Valencia-Negrete; C. Gay-García; A. A. Carsteanu

doi:10.12732/ijam.v31i4.12

Reynolds' limit formula for Dorodnitzyn's atmospheric Boundary layer model in convective conditions

C. V. Valencia-Negrete, C. Gay-García, A. A. Carsteanu

Escuela Superior de Física y Matemáticas (ESFM)

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 L²-norm is bounded, has locally integrable, L_loc ¹, 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.

Translated title of the contribution	Fórmula límite de Reynolds para el modelo de capa límite atmosférica de Dorodnitzyn en condiciones convectivas
Original language	English
Pages (from-to)	673-695
Number of pages	23
Journal	International Journal of Applied Mathematics
Volume	31
Issue number	4
DOIs	https://doi.org/10.12732/ijam.v31i4.12
State	Published - 2018

Keywords

Boundary-layer theory
Gas dynamics
Navier-Stokes equations
Reynold's limit formulas

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10.12732/ijam.v31i4.12

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title = "Reynolds' limit formula for Dorodnitzyn's atmospheric Boundary layer model in convective conditions",

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 L2-norm is bounded, has locally integrable, Lloc 1, 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.",

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AU - Valencia-Negrete, C. V.

AU - Gay-García, C.

AU - Carsteanu, A. A.

PY - 2018

Y1 - 2018

N2 - 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 L2-norm is bounded, has locally integrable, Lloc 1, 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.

AB - 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 L2-norm is bounded, has locally integrable, Lloc 1, 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.

KW - Boundary-layer theory

KW - Gas dynamics

KW - Navier-Stokes equations

KW - Reynold's limit formulas

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VL - 31

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EP - 695

JO - International Journal of Applied Mathematics

JF - International Journal of Applied Mathematics

IS - 4

ER -

Reynolds' limit formula for Dorodnitzyn's atmospheric Boundary layer model in convective conditions

Abstract

Keywords

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