STUDY OF POSSIBILITIES FOR FLOWING SOLUTION IN FURNACE WORKING SPACE WITHOUT NEED TO SOLVE THE SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS
Abstract
In the paper the author deals with a methodology for solving gas flowing in the furnace working space for zonal models in the 3D area. As the unknown parameters are volume or mass flow rates through fictive surface zones referring to the standard conditions. Solvability in dependence on the working space dividing is analysed. The degree of freedom for the system of linear equations expressing the problem is given by the relation (7). The way of possible modification of an underdetermined system to a solvable one is presented by applying model relations for turbulent gas outlet, additional criteria for symmetry or correction of the working space dividing. The advantage of the whole approach is that there is not necessary to solve the equations of motion for viscous gases, which are not correctly solvable for turbulent flowing except simple flowing in channels and tubes. Applying the law of conservation of momentum [1, 2] for modelling of the turbulent outflows the problem of the turbulent viscosity determination and solving the equations of motion has been eluded.
There are demonstrations of simple examples for a chosen situation in the batch furnace working space presented (Fig.2, 4, 5) in the paper. The methodology and its application show certain possibilities for progress in formation of 3D models of stabilised states and can lead to development of advanced optimisation means for technological and production systems.
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