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The influence of the height of the melt layer on the boundary of the transition from stationary flow and heat exchange to non-stationary regimes for given values of Grashof, Marangoni and Reynolds numbers is investigated. The hydrodynamics, local and integral heat transfer were studied at the value of the Prandtl number 16. At the values of the Prandtl number 10.78; 16 and 45.6, integral heat transfer was studied at a fixed height of the melt layer with increasing Reynolds numbers.