- PII
- S3034648725050028-1
- DOI
- 10.7868/S3034648725050028
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 61 / Issue number 5
- Pages
- 565-569
- Abstract
- As is well known, one of the most important factors in the development of dangerous convective phenomena in the atmosphere is the vertical shear of the background wind speed. Therefore, the problems of theoretical description of the interaction of convection, thermal circulations with a shear flow are very relevant. A linear stationary problem of the interaction between a horizontal flow with a vertical shear and thermal circulations (density currents) existing over a thermally inhomogeneous horizontal surface is considered. It is assumed that in the absence of thermal inhomogeneities, there is a background flow with a constant vertical shear of velocity (Couette flow) in a stably stratified medium. Stationary disturbances caused by thermal inhomogeneities of the underlying surface, extended along the background flow, are studied. Thus, a linear stationary two-dimensional problem is considered in the Boussinesq approximation. Coriolis accelerations are not taken into account, since relatively small horizontal scales of inhomogeneities are assumed. The consideration is limited to one horizontal harmonic of disturbances. An essential dimensionless determining parameter is an analogue of the Rayleigh number , in which the horizontal scale of the harmonic under consideration acts as a spatial scale. An approximate analytical solution is found. An essential new result is as follows: although thermal circulations penetrate relatively shallowly into a stably stratified medium, they can cause stationary disturbances of the background flow, which penetrate much deeper into the medium.
- Keywords
- термические циркуляции сдвиговое течение взаимодействие стратифицированная среда линейное приближение аналитическая модель
- Date of publication
- 09.04.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 14
References
- 1. Ингель Л.Х. Возмущения сдвигового течения, вызванные взаимодействием с конвективными валами // МЖГ. 2006. № 3. С. 33–37.
- 2. Bluestein H.B. Severe Convective Storms and Tornadoes. Observations and Dynamics. 2013. Berlin: Springer, 456 p.
- 3. Ingel L.Kh., Makosko A.A. To the theory of convective flows in a rotating stratified medium over a thermally inhomogeneous surface / IOP Conf. Ser.: Earth Environ. Sci. 2022. 1040. 012023. https://doi.org/10.1088/1755-1315/1040/1/012023
- 4. Markowski P., Richardson Y. Mesoscale Meteorology in Midlatitudes. Chichester: Wiley-Blackwell, 2010. 628 p.
- 5. Stommel H., Veronis G. Steady convective motion in a horizontal layer of fluid heated uniformly from above and cooled non-uniformly from below // Tellus. 1957. V. 9. № 3. P. 401–407. https://doi.org/10.3402/tellusa.v9i3.9100
