Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Evaluation of Influence of Terrain Profile on the Physical Characteristics of Air Flow

Version 1 : Received: 11 December 2019 / Approved: 12 December 2019 / Online: 12 December 2019 (04:14:14 CET)

How to cite: Guseynov, S.E. Evaluation of Influence of Terrain Profile on the Physical Characteristics of Air Flow. Preprints 2019, 2019120159. https://doi.org/10.20944/preprints201912.0159.v1 Guseynov, S.E. Evaluation of Influence of Terrain Profile on the Physical Characteristics of Air Flow. Preprints 2019, 2019120159. https://doi.org/10.20944/preprints201912.0159.v1

Abstract

In the present paper, a measure of the influence of irregularities of the underlying surface (for instance, the real terrain profile) on the dynamics of air flow is estimated. It is shown that these irregularities significantly perturbing the pressure, density, velocity and temperature of air flow; for perturbed pressure, density, velocity and temperature of air flow the closed formulas in the Fourier integral form are obtained. In addition, in the present paper, it is proved that due to these perturbations, at a certain altitude of the atmosphere some surface of the "sturdy wall" form appears, on which the vertical and horizontal components of the air flow velocity become infinitesimal and infinitely large, respectively.

Keywords

mathematical model; terrain profile; air flow fluctuations; asymptotic expansion

Subject

Environmental and Earth Sciences, Atmospheric Science and Meteorology

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