Algorithm for the set of similarity criteria formation for a physical process in the class of homogeneous functions


  • Anatolii Alpatov
  • Victor Kravets
  • Dmytro Kolosov
  • Volodymyr Kravets
  • Erik Lapkhanov Institute of Technical Mechanics NASU and SSAU



The efficiency of application of linear programming methods to problems of the theory of similarity and dimensions is shown. A general algorithm for formation of the set of similarity criteria for a physical process in the class of homogeneous functions is proposed. The set of systems of linear algebraic equations is created using the combinatorial method and chain diagrams. Basic and free variables and their corresponding variants of dimensionless sets of independent arguments, which are taken as the main similarity criteria, are distinguished. The set of derived similarity criteria is found using the basic criteria and the Cayley table.


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How to Cite

Alpatov, A., Kravets, V. ., Kolosov, D., Kravets, V., & Lapkhanov, E. (2021). Algorithm for the set of similarity criteria formation for a physical process in the class of homogeneous functions . Transactions on Engineering and Computing Sciences, 9(6), 38–43.