03 Mar 2010
03 Mar 2010
A semi-analytical solution for the mean wind profile in the Atmospheric Boundary Layer: the convective case
L. Buligon1, G. A. Degrazia1, O. C. Acevedo1, C. R. P. Szinvelski3, and A. G. O. Goulart2
L. Buligon et al.
L. Buligon1, G. A. Degrazia1, O. C. Acevedo1, C. R. P. Szinvelski3, and A. G. O. Goulart2
- 1Universidade Federal de Santa Maria, Departamento de Física, Santa Maria, RS, Brazil
- 2Universidade Federal do Pampa/UFSM, Centro de Ciências Exatas e Tecnológicas, Bagé, RS, Brazil
- 3Centro de Educação Superior do Alto Vale do Itajaí, UDESC/CEAVI, Ibirama, SC, Brazil
- 1Universidade Federal de Santa Maria, Departamento de Física, Santa Maria, RS, Brazil
- 2Universidade Federal do Pampa/UFSM, Centro de Ciências Exatas e Tecnológicas, Bagé, RS, Brazil
- 3Centro de Educação Superior do Alto Vale do Itajaí, UDESC/CEAVI, Ibirama, SC, Brazil
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Received: 26 Jun 2009 – Discussion started: 23 Sep 2009 – Revised: 28 Dec 2009 – Accepted: 31 Jan 2010 – Published: 03 Mar 2010
A novel methodology to derive the average wind profile from the Navier-Stokes equations is presented. The development employs the Generalized Integral Transform Technique (GITT), which combines series expansions with Integral Transforms. The new approach provides a solution described in terms of the quantities that control the wind vector with height. Parameters, such as divergence and vorticity, whose magnitudes represent sinoptic patterns are contained in the semi-analytical solution. The results of this new method applied to the convective boundary layer are shown to agree with wind data measured in Wangara experiment.
