Mironov K. Perfection of flow spaces on basis of mathematical modeling of Francis turbines performances

Object of research is a working process of Francis turbines in the range of the basic operating modes. The purpose of research is perfection of flow space of Francis turbines on the basis of mathematical design of its power descriptions. Methods of researches are based on the fundamental laws of mechanics of liquid and gas, methods of mathematical and physical design of working process of hydroturbines. For the construction of mathematical model of working process, analysis of forming of power descriptions, systematization and generalization of information of physical and numeral experiment the methods of theory of dimension were used. Theoretical and practical results are the use of the developed models, algorithms and their programmatic realization, results of calculations for prognostication of power indexes, multiple analysis of influence of geometrical parameters on the separate types of hydraulic losses, leadthroughs of optimization calculations at planning of flow spaces of hydroturbines. The complex of the application programs is created for planning and calculation of runners, and program of calculation of perfection universal description of flow space of hydroturbine. The developed programs can be used both for planning of hydroturbine equipment for again built hydroelectric power plant and during modernization of existing. Their application allows to reduce the planning terms, decrease the volume of research and project works, improve quality of developments of flow space. Dissertation job performances were used in research work between NTU "KHPI" and factory of heavy engineering of BHEL, Bhopal, India at planning HPP Kameng. Novelty - the method of analysis of power descriptions of Francis turbines, allowing to set in a dimensionless form the structure of functional dependence of hydraulic losses in a runners from the hydrodynamic parameters of grate and generalized regime parameters, got further development; the generalized mathematical model of working process of Francis turbines, reflecting general conformities to law of working process in the wide turn-down of high-speedness and being basis for perfection of flow space and application of methods of optimization, is first developed; new approach is grounded for systematization and generalization of information of physical and numeral experiment about influence of geometrical parameters of running part on the power indexes of Francis turbines; the theory of working process got further development in the direction of research of conformities to law of kinematics and power descriptions of Francis turbines in the wide turn-down of high-speedness. Degree of introduction - has been developed by Hydromachine Machinery Department of NTU "KhPI", factory of heavy engineering of BHEL, Bhopal, India. Industry of application - power mechanical engineering.