Abstract
The practice of designing centrifugal compressors in which impellers are the main components shows that there are reserves for their further improvement. One of the main reserves consists in improving flow conditions for the compressed medium in the compressor setting and, above all, in the impeller. A method of geometric modeling settings of the impellers of centrifugal compressors was proposed which involves the construction of meridional boundaries of impellers and the blade profile on an involute of the cylindrical surface of the outer radius of the impeller. The blade is represented by ruled surfaces. The outer boundary of the impeller is described by a curve in natural parameterization using cubic dependence of curvature on the arc length. Dependences and length of the arc are determined in the process of modeling the boundary based on the set source data. The problem is solved by minimizing deviations of intermediate curves from the boundary endpoint. The inner boundary is obtained as an envelope of circles inscribed in the meridional channel of the impeller. Radii of the circles are determined taking into account the flow areas of the channel. The midline of the blade profile on an involute of the cylindrical surface of the outer radius of the impeller is modeled using a curve that is presented in natural parameterization with quadratic law of curvature distribution. A computer code was developed in the Fortran Power Station programming environment that visualizes the obtained numerical results graphically on a computer display in addition to digital information on the modeled boundaries and the blade profile. Graphical results were presented. They confirmed the efficiency of the proposed method of modeling the settings of centrifugal compressor impellers. The method can be useful to offices involved in the design of centrifugal compressors
Highlights
Centrifugal compressors began to spread in various fields of technology in the early 1920s
The study objective consisted of developing a method of geometric modeling of an impeller flow path for a centrifugal combined-flow compressor having blades of spatial shape limited by ruled surfaces
The following tasks were set: – construct shroud of the meridional section of a centri fugal compressor impeller using a curve represented in natural parameterization and the cubic law of curvature distribution depending on arc length; – construct hub of the meridional section of the impeller as an envelope of circles inscribed in a channel formed between shroud and hub of the meridional section of the impeller; – construct the blade profile on an involute of a cylindrical surface of the outer radius of the impeller with ensuring the possibility of describing the blade with ruled surfaces; – construct a spatial image of the centrifugal compressor impeller
Summary
Doctor of Technical Sciences, Associate Professor Department of IT Designing Training. Odessa National Polytechnic University Shevchenka ave., 1, Odessa, Ukraine, 65044. PhD, Associate Professor Department of Automated Systems Software Admiral Makarov National University of Shipbuilding Heroiv Ukrainy ave., 9, Mykolaiv, Ukraine, 54025
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