Environ Fluid Mech (2012) 12:161–183
DOI 10.1007/s10652-011-9223-2
ORIGINAL ARTICLE
On the fine structure of the thermal bar front
Natalia Demchenko · Irina Chubarenko ·
GertJan van Heijst
Received: 13 May 2011 / Accepted: 24 September 2011 / Published online: 13 October 2011
© Springer Science+Business Media B.V. 2011
Abstract The thermal bar—a hydrodynamic phenomenon, arising in natural basins due
to successive changes of the water temperature across the temperature of maximum density
(T
m
, which is close to 4
◦
C)—has been studied in laboratory experiments and by numerical
simulations. The experiments were performed in a rectangular tank with an inclined bottom,
filled with water with initial temperature T
0
< T
m
and then heated at the surface. During
the heating a basin-wide circulation develops, consisting of down-slope cascades in regions
where T < T
m
, a subsurface off-shore jet in the region where T > T
m
, and a compensating
flow at intermediate depths towards the shallow part of the tank, supplying both off-shore
flows with waters from deeper regions. Analysis of the water temperature and density fields
as well as the currents has revealed that the location of the convergence zone of the surface
current (when formed) does not coincide with that of the Tm-isotherm. The thermal bar
front is typically understood as a convergence zone near the 4
◦
C-isotherm, formed due to
the effect of cabbeling. Our experiments demonstrate, however, that the front is associated
with the leading edge of the subsurface current. The increasing distance between the 4
◦
C-
isotherm and the subsurface jet has been recorded in the laboratory experiments. Numerical
simulation results corroborate the laboratory experiments. A scaling analysis predicts the
speed of propagation of this frontal zone to be U ∼[g × ρ/ρ ×H]
1/2
, where H is the
depth (increasing with time) of the upper thermo-active layer, ρ
0
a reference density, and ρ
is the characteristic horizontal density difference across the front. A combined analysis of
laboratory, field and numerical data has corroborated this law.
N. Demchenko (B ) · I. Chubarenko
P.P.Shirshov Institute of Oceanology RAS, Atlantic Branch, Prospect Mira, 1, Kaliningrad,
Russia 236022
e-mail: ndemchenko@mail.ru
G. van Heijst
Department of Physics, Eindhoven University of Technology, P.O. Box 513,
5600 MB Eindhoven, The Netherlands
123