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Amosov, A.A., Dubinskiy, Y.U.A. and Kopchenova, N.V. (1994) Vychislitel’nyye metody dlya inzhenerov: Ucheb. posobiye [Computational Methods for Engineers: Textbook.]. Vyssh. shk., Moskva, 544 p. (In Rus.)

has been cited by the following article:

• TITLE: Flow and Heat Transfer of Basalt Melt in the Feeder of the Smelter Furnace

  AUTHORS: Vyacheslav Kremnev, Boris Basok, Boris Davydenko, Andriy Timoshchenko, Aleksandra Timoshchenko

  KEYWORDS: Basalt Fiber, Smelter Furnace, Energy Efficiency, Heat Technological Processes

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.11, November 5, 2019

  ABSTRACT: The flow and heat transfer of the basalt melt in the boundary layer on a flat plate is considered. The conditions of formation of the layer and the intensity of heat transfer are determined. A self-similar analysis using the symmetry method was used. A system of ordinary differential equations in self-similar form is obtained. The fluid flow and heat transfer of molten basalt at a laminar steady-state flow in the feeder furnaces are numerically researched. The term “protective layer” on the interface “basalt melt-lining” is introduced. The dependences for the calculation of dimensionless shear stresses and the Nusselt number on the lining surface are obtained. The conditions of rational organization of the technological process of basalt melt feeding in the furnace feeder are formulated.