##### MODELING OF NATURAL THERMOGRAVITATIONAL CONVECTION
IN HORIZONTAL CHANNELS WITH AN IRREGULARLY SHAPED CROSS SECTION

I. A. Ermolaev, A. I. Zhbanov, and V. S. Koshelev
UDC 536.24:532.54
Results of a numerical investigation of the natural thermogravitational
convection of air in horizontal channels with a -shaped cross section
are presented. Two-dimensional unsteady equations
of convection in the Boussinesq approximation, which are written in
the velocity vortex-current function-excess temperature variables,
are employed as a mathematical model. In investigating, the range
of Rayleigh numbers was bounded above by the value 10^{6},
which corresponds to the range of applicability of the
Boussinesq approximation to air in the problem posed. The boundary-value
problem was solved numerically by the finite-element method of Galerkin
(weak formulation). The distinctive features of the temperature and
flow fields were revealed on the basis of calculations and the intensity
of heat exchange was evaluated.
N. G. Chernyshevskii Saratov State University, Saratov,
Russia; email: ZhbanovAI@info.sgu.ru. Translated from Inzhenerno-Fizicheskii
Zhurnal, Vol. 76, No. 4, pp. 134-137, July-August, 2003. Original
article submitted November 1, 2002.