It is demonstrated that the hydrodynamics of a melting tank of a contemporary highly efficient glass-melting furnace depends on a set of combined factors. Along with temperature distribution on the melt surface depending on exterior heat exchange, convection flows to a large extent depend on the tank design, the batch loading, and glass melt working conditions, as well as the working flow parameters determined by the specific output of the furnace. The combined analysis of the results of modeling external heat-exchange and the tank hydrodynamics suggest that the most advisable heating regime for the considered furnace design is when the total length of the flame is equal to the furnace length.According to the method for constructing a mathematical model of a glass-melting furnace, the effect of exterior heat exchange parameters on hydrodynamics of the melting tank is manifested through the temperature field on the glass melt surface [1,2]. The analysis of exterior heat exchange depending on the flame length [3] has yielded regression equations for calculating the temperature field on the glass melt surface and thus to specify the main boundary conditions for modeling.Regression equations for calculation of temperature field on glass melt surface t (x, y ),°C l fl /L f t (x, y ) = 1554.46 + 162.09x + 262.67y -74.92x 2 -1.03xy -147.77y 2 + 0.06x 2 y + 0.51xy 2 + 0.02x 2 y 2 + 8.92x 3 + 23.64y 3 -0.34x 4 -1.29y 4 . . 0.334 t (x, y ) = 1392.14 + 11.22x + 356.82y -1.35x 2 -7.98xy -177.12y 2 + 0.86x 2 y + 0.22xy 2 + 0.01x 2 y 2 + 0.31x 3 + 28.24y 3 -0.04x 4 -1.50y 4 . . 0.662 t (x, y ) = The longitudinal section of the melting tank is shown in Fig. 1. The tank dimensions are as follows (m): AB = 9.2; BC = FG = 0.4, CD = 2.4, AH = 1.3, BF = CG = 0.8, HI = 4.0, DE = 0.3, and the furnace length AD = L f = 13.62.The installation of a spillway in the melting tank obviously complicates the analysis and at the same times brings the modeling conditions closer to the actual melting tank design in state-of-the-art glass-melting furnaces. The calculations are fulfilled for the furnace efficiency of 300 tons/day achieved under the specific glass melt output equal to 2.6 tons/(m 2 × day). Other source data are given in [1].One of the most complicated and essentially little investigated problems in numerical modeling of glass-melting tank hydrodynamics is establishing boundary conditions regulating the arrival of newly formed melt at the tank and at the working zone. Specifying boundary conditions based on the working flow can be reduced to the mass flow rate determined by the furnace efficiency and the size of the tank neck and to specifying the site from which the melt goes to the