ABSTRACT

The variety of areas of science and technology in which modeling is used, as well as our desire for a model to best fit the characteristics of a problem, generates a large number of specific models and types of modeling. Decreasing the number of values taken into account in a model helps analyze the available solutions and the causes of possible errors, provides analytical solutions to new problems, and also significantly reduces the number of necessary experimental studies. This chapter develops a method that minimizes the number of nondimensionized variables for the model. In a usual nondimensionization procedure, a value of the same type as the one being nondimensionized is chosen as a scale. According to the theory of similarity, the establishment of conditions for physical modeling is performed on an MM reduced to a nondimensionized form.