By using the methods of scale analysis, dimensional analysis, and of the symmetry of differential equations, the dynamics of buoyant convective jets connected with stationary, local sources of a weightless heat-releasing impurity in a neutrally stratified medium is investigated. An example of such an impurity is an aerosol that absorbs solar radiation in the atmosphere (in particular, coal dust, and soot, which earlier was suggested to be used to actively affect certain atmospheric processes). An analog of Ya. B. Zel′dovich′s theory of convective jets for laminar and turbulent axisymmetric and plane jets has been obtained. The laws of motion of turbulent thermals connected with instantaneous sources of the impurity are given that follow from the considerations of dimensionality and similarity.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ya. B. Zel’dovich, Limiting laws of freely ascending flows, Zh. Éksp. Teor. Fiz., 7, No. 12, 1463–1465 (1937).
L. N. Gutman, Introduction to the Nonlinear Theory of Mesometeorological Processes [in Russian], Gidrometeoizdat, Leningrad (1969).
J. S. Turner, Buoyancy Effects in Fluids [Russian translation], Mir, Moscow (1977).
Yu. A. Sokovishin and O. G. Martynenko, Introduction to the Theory of Free-Convective Heat Transfer [in Russian], Izd. Leningradsk. Univ., Leningrad (1982).
O. G. Martynenko, V. N. Korovkin, and Yu. A. Sokovishin, Theory of Buoyant Jets and Wakes [in Russian], Navuka i Tékhnika, Minsk (1991).
B. Gebhart, Y. Jaluria, R. L. Mahajan, and B. Sammakia, Buoyancy-Induced Flows and Transport, Book 1 [Russian translation], Mir, Moscow (1991).
A. N. Vul’fson and O. O. Borodin, A contribution to the integral theory of a turbulent jet above a point heat source of constant strength, J. Eng. Phys. Thermophys., 76, No. 5, 1181−1187 (2003).
W. M. Gray, W. M. Frank, M. L. Corrin, and C. A. Stokes, Weather modification by carbon dust absorption of solar energy, J. Appl. Meteorol., 15, No. 4, 355−386 (1976).
V. M. Voloshchuk, Nonlocal parametrization of vertical turbulent exchange in ground layer, Meteorol. Gidrol., No. 6, 35–42 (1976).
G. W. Deardorff, Differences between eddy coefficients for instantaneous continuous vertical diffusion into the neutral surface layer, Boundary-Layer Meteorol., 5, No. 4, 451−457 (1974).
A. A. Berezovskii, Lectures on Linear Boundary-Value Problems of Mathematical Physics, Part II [in Russian], Naukova Dumka, Kiev (1976).
V. Andreev and S. Panchev, Dynamics of Atmospheric Thermals [in Russian], Gidrometeoizdat, Leningrad (1975).
L. Kh. Ingel’, Dynamics of a dry thermal initiated by an active admixture, Izv. Akad. Nauk SSSR, Ser. Fiz. Atmos. Okeana, 17, No. 2, 138–145 (1981).
L. Kh. Ingel’, Self-action of a heat-liberating admixture in a liquid modems, Usp. Fiz. Nauk, 168, No. 1, 104–108 (1998).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 92, No. 6, pp. 2526–2534, November–December, 2019.
Rights and permissions
About this article
Cite this article
Ingel’, L.K. On The Limiting Laws of Buoyant Convective Jets and Thermals from Local Sources of a Heat Releasing Impurity. J Eng Phys Thermophy 92, 1481–1488 (2019). https://doi.org/10.1007/s10891-019-02067-6
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-019-02067-6