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.