Abstract
The problem of stationary convective flows over a nonuniformly heated wavy surface is studied in the context of a simplified analytical model. It is shown that the horizontally periodic heating of such a surface can lead to a “thermal wind” effect, i.e., the generation of a uniform horizontal flow far from the surface.
Similar content being viewed by others
References
J. C. R. Hunt, H. J. S. Fernando, and M. Princevac, “Unsteady Thermally Driven Flows on Gentle Slopes,” J. Atmos. Sci. 60, 2169–2182 (2003).
I. G. Granberg, M. S. Artamonova, and E. M. Dobryshman, “On Two Small-Scale Circulation Mechanisms of Fine-Aerosol Transport in the Atmospheric Surface Layer,” Izv, Atmos. Ocean. Phys. 46(7), 865–871 (2010).
H. Stommel and G. Veronis, “Steady Convective Motion in a Horizontal Layer of Fluid Heated Uniformly from Above and Cooled Non-Uniformly from Below,” Tellus 9, 401–407 (1957).
P. N. Svirkunov and E. A. Fel’de, “Structure of Convective Currents over Heat Sources in the Stably Stratified Atmosphere,” Meteorol. Gidrol., No. 1, 17–23 (1988).
L. Kh. Ingel’, “The Humid Atmospheric Response to Horizontally Inhomogeneous Heating and Humidification,” Dokl., Earth Sci. 379(6), 662–666 (2001).
L. Kh. Ingel’, “’Negative heat capacity’ in stratified fluids,” Phys.-Usp. 45(6), 637–644 (2002).
L. Kh. Ingel’, “Shear Flow Disturbances due to Interaction with Convective Rolls,” Fluid Dyn. 41(3), 351–355 (2006).
L. D. Landau and E. M. Lifshits, Hydrodynamics (Nauka, Moscow, 1986) [in Russian].
A. S. Monin and A. M. Yaglom, Statistical Hydromechanics (Gidrometeoizdat, St. Petersburg, 1992), Vol. 1 [in Russian].
L. N. Gutman, Introduction to the Nonlinear Theory of Mesometeorological Processes (Gidrometeoizdat, Leningrad, 1969) [in Russian].
A. Kh. Khrgian, Physics of the Atmosphere (MGU, Moscow, 1986).
E. B. Gledzer, I. G. Granberg, and O. G. Chkhetiani, “Air Dynamics near the Soil Surface and Convective Emission of Aerosol,” Izv., Atmos. Ocean. Phys. 46(1), 29–40 (2010).
A. Nayfeh, Introduction to Perturbation Techniques (Wiley, New York, 1981; Mir, Moscow, 1984).
M. van Dyke, Perturbation Methods in Fluid Mechanics (Academic, New York/London, 1964; Mir, Moscow, 1967).
G. S. Golitsyn, A. V. Andronova, B. V. Vinogradov, et al., “Effluent of Soil Particles in Arid Regions (Kalmykiya, Aral Sea Region),” in Proc. of the Int. Conf. Physics of Atmospheric Aerosol (Dialog-MGU, Moscow, 1999), pp. 127–138 [in Russian].
G. S. Golitsyn, I. G. Granberg, A. V. Andronova, et al., “Study of Thermoconvective Effluents of Arid Aerosol in Kalmykian Blacklands,” in Natural and Anthropogenic Aerosols (SPbGU, St. Petersburg, 1998), pp. 342–348.
G. S. Golitsyn, I. G. Granberg, A. V. Andronova, et al., “Investigation of Boundary Layer Fine Structure in Arid Regions,” Water, Air, and Soil Pollution, Focus 3(2), 245–257 (2003).
O. V. Rudenko and S. I. Soluyan, Nonlinear Acoustic Theory (Nauka, Moscow, 1975).
H. Lamb, Hydrodynamics (Cambridge Univ. Press., Cambridge, 1933; Gos. izd. tekhniko-teoreticheskoi lit., Moscow-Leningrad, 1947).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © O.G. Chkhetiani, M.V. Kalashnik, L.Kh. Ingel’, 2013, published in Izvestiya AN. Fizika Atmosfery i Okeana, 2013, Vol. 49, No. 2, pp. 137–143.
Rights and permissions
About this article
Cite this article
Chkhetiani, O.G., Kalashnik, M.V. & Ingel’, L.K. Generation of thermal wind over a nonuniformly heated wavy surface. Izv. Atmos. Ocean. Phys. 49, 121–127 (2013). https://doi.org/10.1134/S0001433813020059
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0001433813020059