Background: The theoretical foundations of modeling and simulation of the
industrial processes are presented. The thermodynamic, hydrodynamic and molecular levels
of the process modeling are presented.
Method: The hydrodynamic approximations are presented in the cases of the elementary
processes modeling. The industrial process modeling is presented in different steps. The first
step is the formulation of the physical mechanism of the industrial process and the
construction of a mathematical structure, containing the mathematical operators that
quantitatively describe the individual physical effects in this mechanism. The introduction
of generalized (dimensionless) variables through characteristic scales permits to be made a
quality analysis of the industrial processes. Obtaining experimental data and using it to
calculate the model parameters by solving an inverse identification problem leads to the
final form of the mathematical model. The statistical analysis of the model adequacy leads
to the practical applicability of the mathematical model.
Conclusion: On this basis, a new approach is presented for the modeling of the mass
transfer processes in the column apparatuses.
Keywords: Modeling, simulation, approximation levels, hydrodynamic approximation, elementary
processes, parameters identification, statistical analysis, column apparatuses, mass transfer modeling.
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