APPLICATION OF SIMILARITY THEORY IN MATHEMATICAL MODELING OF HYDRAULIC PROCESSES.
Keywords:
Reynolds, Froud, Euler, physical modeling, geometric similarity, kinematic similarity, dynamic similarity.Abstract
This thesis studies the theory of similarity as the main methodological tool in the mathematical modeling of complex hydraulic processes. The theory allows for the analysis of real systems using scaled models in laboratory conditions. The main goal of the research is to optimize the calculation volume by reducing hydrodynamic equations to dimensionless form using such criteria as Reynolds, Froud, Euler. The correct application of similarity theory substantiates methods for extrapolating experimental results to real conditions with high accuracy. The obtained conclusions have important practical significance in the design of hydraulic structures and increasing the efficiency of computational hydrodynamic (CFD) models.
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