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correlation coefficient R 2
¼
0.88. The equation of the solid line y
¼
0.83
4.68
B 1 = 3 ,
gives clear dependence of the nondimensional velocity of the buoyant jet, U
=
10 6 .The
high reliability of the linear approximation of the data shown in Fig. 5 proves
an evident dependence of the radial propagation velocity of the warm jet on the
buoyancy flux.
B 1 = 3
C 2 Ra 1 = 2 ,where C 2 ¼
versus Rayleigh number as U
=
¼
2
5 Conclusions
1. The rotation of the system strongly affects the characteristics of the warm
buoyant jet and the velocity of its radial propagation. It has been revealed that
in a rotating fluid a strong along-wall cyclonic current is formed. The radial
velocity of buoyant jet propagation is about an order of magnitude less than in
nonrotating fluid.
2. The bottom slope stabilizes the propagation of the temperature front of the
buoyant jet, preventing for its breaking-up and formation of the baroclinic
eddies. Upon the horizontal bottom, the radial propagation of the buoyant jet
is effected and accelerated by the lateral eddy diffusivity.
3. Scaling analysis has shown that Rayleigh and Ekman numbers are the key
nondimensional parameters that determine the regimes and regularities of the
warm buoyant jet in the rotating case, but only the Rayleigh number is important
for the nonrotating case. The processing of experimental data revealed that the
nondimensional radial velocity of jet propagation depends on Rayleigh and
Ekman numbers according to the formula U
B 1 = 3
10 2 Ra 1 = 2 Ek for the
=
¼
1
:
2
B 1 = 3
10 6 Ra 1 = 2 for the nonrotating case.
rotating case and the formula U
=
¼
2
Acknowledgments This work is supported by RFBR 10-05-90746_mob_st, 10-05-00472a.
I would like to express great thanks to Drs. Irina Chubarenko and Andrei Zatsepin for stimulation
of my work and valuable discussions, and to leading engineer of the Laboratory of Experimental
Physics of the Ocean (P.P. Shirshov Institute of Oceanology, Moscow) Dmitrij Elkin for his
technical assistance.
References
Boubnov BM, Golitsyn GS (1995) Convection in rotating fluids. Kluwer Academic, London,
224 pp
Bychkova IA, Viktorov SV, Losinsky VN (1987) Structure of coastal fronts of the Baltic Sea
from remote sensing data of infra-red range. Proceedings of the 3rd congress of Soviet
oceanographers, III, pp 64-65 (in Russian)
Demchenko N, Chubarenko I (2007) Coastal cooling/heating events based on laboratory
experiments. Acta Geophys 55(1):56-64
Kahru M, Hakansson B, Rud O (1995) Distributions of the sea-surface temperature fronts in the
Baltic sea as derived from satellite imagery. Cont Shelf Res 15(6):663-679
Naumenko MA, Karetnikov SG (1993) Using of the IR-information for the study of the Ladoga
Lake thermal regime. Earth Investigation from Space, pp 69-78 (in Russian)
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