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Practical use of mathematical models, that describe complex physical processes, connected with heat and mass transfer (the working process of diesel engine in particular), often runs into considerable difficulties. These difficulties are engendered by the general character of the problem, the large amount of characteristics considered, the complexity of their interdependence and as a sequence the cumbersomeness and inconvenience the mathematical apparatus itself. To overcome these obstacles it is helpful in some cases to introduce some auxiliary parameters, and in other cases - to find a successful functional parametric representation of the characteristics investigated. Both above mentioned approaches are components of the parameterization method and play a significant role in solving technological problems by means of mathematical modeling. Use of parameterization is shown by three examples.