Browsing by Author "Studzinski, Jan"

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    Estimation of technological parameters of glass tank furnaces from mathematical models
    (Offenbach : Verlag der Deutschen Glastechnischen Gesellschaft, 1991) Studzinski, Jan; Nahorski, Zbigniew; Tuszynski, Waclaw
    The previous methods for estimating the technological parameters of glass tank furnaces from isotopic measurements are critically discussed. It is shown that these parameters can be easily and correctly calculated using a new mathematical model for the furnace estimated from the isotopic data. This model has to fit the technological data well for a precise description of the physical correlations. Mathematical models of the glass mass flow dynamics (in form of the Laplace transfer function) by means of a computer-based algorithm are set up.
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    Mathematical modelling of glass mass flow in a conventional glass tank furnace using isotope data
    (Offenbach : Verlag der Deutschen Glastechnischen Gesellschaft, 1991) Studzinski, Jan
    In this paper mathematical models of a conventional glass tank furnace from isotope measurements are developed. The model description is achieved with the partial or ordinary differential equations. At first, a two-dimensional partial differential equation model is formulated that describes the distribution of temperature, currents and the chemical glass composition in the glass tank furnace. Subsequently, two models of ordinary differential equations of the 9th and 11th order using the partial differential equation model calculated and a special two-stage modelling approach are established. One can apply these models for solving some control or stabilization tasks related to the glass composition.