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The paper addresses the applicability of equilibrium thermodynamics models and the expediency of their employment for analysis of non-equilibrium systems, first of all, when solving the applied computational problems of large dimensionality. A model of extreme intermediate states (MEIS) is suggested for such an analysis. The methods to include the constraints on chemical kinetics and transfer processes are discussed. These constraints are to be presented in a thermodynamic form, i.e. without time variable. The efficiency of the approach is illustrated with the examples of determining the maximum possible nitrogen oxide concentrations in combustion chambers of gas turbines and modeling the non-stationary flow distribution in multi-loop hydraulic networks.

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