Formation of similarity criteria for physical objects and processes based on NonDimCritFormer 1.0 computer program
https://doi.org/10.23947/1992-5980-2019-19-2-179-184
Abstract
Introduction. The problem of adequate modeling of physical processes and objects is an urgent task of modern science. Automation of work in this area increases the accuracy of modeling and saves money on full-scale modeling of objects under study. The research objective was to create a computer program that would automatically form dimensionless similarity criteria based on the initial set of parameters.
Materials and Methods. The calculation algorithm is based on к-theorem of similarity theory and the basic provisions of the dimensional theory.
Research Results. The computer program is developed. It enables to get all the theoretically possible similarity criteria for the simulation of the physical process or object of interest. Discussion and Conclusions. The results obtained can be used in the industrial and scientific modeling of physical objects of research, calculation of new similarity criteria, solving problems of describing complex processes, etc.
Keywords
similarity criterion,
theory of similarity,
dimensional theory,
к-theorem,
dimensionless complex,
Kirpichev-Gukhman theorem
Supporting agencies: The research is done within the frame of the independent R&D
About the Author
I. M. Tsibirova
North Ossetian State University after K.L. Khetagurov
Russian Federation
Russian Federation
Vladikavkaz
References
1. Зарубин, В. С. Математическое моделирование в технике / В. С. Зарубин. — Москва : Высшая школа, 2015. — 474 с.
2. Батунер, Л. М. Математические методы в химической технике / Л. М. Батунер, М. Е. Позин. — Ленинград : Химия, 1972. — 724 с.
3. Buchanan, M. Dimensional analysis / M. Buchanan // Nature Physics. — 2010. —Vol. 6. — P. 555.
4. Zohuri B. Dimensional Analysis and Self-Similarity Methods for Engineers and Scientists. — Cham ; Heidelberg ; New York ; Dordrecht ; London : Springer, 2015. — 372 p.
5. Веников, В. А. Теория подобия и моделирования (применительно к задачам электроэнергетики) / В. А. Веников, Г. В. Веников. — Москва : Высшая школа, 1987. — 454 c.
6. Гухман, А. А. Применение теории подобия к исследованию процессов тепло-массообмена. Процессы переноса в движущейся среде / А. А. Гухман. — Москва : URSS, 2018. — 328 с.
7. Zohuri, B. Dimensional Analysis Beyond the Pi Theorem / B. Zohuri. — Cham : Springer, 2015. — 372 p.
8. Frishter, L. U. Application of the Method of the Theory Similarity and Dimensional Analysis for Research the Local Stress-strain State in the Neighborhood of an Irregular Point of the Boundary / L. U. Frishter // Procedia Engineering. — 2016. — Vol. 153. — P. 151-156.
9. Bluman, G. W. Similarity Methods for Differential Equations / G. W. Bluman, J. D. Cole. — New York ; Heidelberg ; Berlin : Springer-Verlag, 1974. — 333 p.
10. Ayala, L. F. The Similarity Theory Applied to the Analysis of Multiphase Flow in Gas-Condensate Reservoirs / L. F. Ayala, J. P. Kouassi // Energy Fuels. — 2017. — № 21 (3). — P 1592-1600.
Review
For citations:
Tsibirova I.M. Formation of similarity criteria for physical objects and processes based on NonDimCritFormer 1.0 computer program. Vestnik of Don State Technical University. 2019;19(2):179-184. https://doi.org/10.23947/1992-5980-2019-19-2-179-184
Views:
560
Email this article 