Article
Article name Modification of residues method for aerodynamic calculation of vortex regulator of turbomachines
Authors Makarov V.. ,
Potapov V.Y. ,
Makarov N.. ,
Bibliographic description
Category Earth science
DOI 622.44
DOI 10.21209/2227-9245-2018-24-7-33-40
Article type scientific
Annotation The article is devoted to the development of a methodology for the design and creation of nature-friendly adaptive mine turbomachines, that adequately and simultaneously economically justifies creating the necessary fields of depressions that implement the concept of optimal ecotechnology of subsoil use. To create a mathematical apparatus for designing adaptive turbomachines, improving the methods for their regulation, a mathematical model of a vortex regulator in the form of a circular grating of analytical profiles of arbitrary shape, was developed. To modify the method of Chaplygin singular points, the classical theory of residues is used, taking into account the superposition principle in conditions of hydrodynamic analogy and method of conformal mapping of vortex regulator to the canonical field in the form of a circle of unit radius. The experimental results were processed, using the static method of linear experiment planning. Based on the analysis of the proposed theory of aerodynamic calculation of a vortex regulator and construction of its radial aerodynamic scheme, the main ways of further improving the methodology for designing and creating efficient power regulators of mine turbomachines are formulated. Radial power tests of the regulator, realizing this method of controlling the aerodynamic parameters of the fan, are carried out. The proposed device contributes to a reduction in the specific energy consumption of the fans by 8 % and an increase in the depth of the pressure regulation by 15 %, which is equivalent to an annual economic effect commensurate with the cost of the fan
Key words turbomachines; mine fan; vortex regulator; aerodynamics; control flow; regulation of turbomachine operation mode; adaptability of turbomachines; economy of turbomachines; method of singular points; hydrodynamic analogy
Article information
References 1. Babak G. A., Makarov V. N. Problemy sovershenstvovaniya pylegazovogo rezhima na ugolnyh shahtah: tezisy dokladov na respubl. konf. (Problems of improving the dust and gas regime in coal mines: abstracts of papers for the republic. сonf.). Donetsk: NIIGM named after Fedorov, 1988. 2. Belotserkovsky S. M., Lifanov I. K. Chislennye metody v singulyarnyh integralnyh uravneniyah (Numerical methods in singular integral equations). Moscow: Nauka, 1985. 256 p. 3. Gorlin S. M. Eksperimentalnaya aerodinamika (Experimental aerodynamics). Moscow: Higher School, 1970. 423 p. 4. Idelchik I. E. Aerodinamika tekhnologicheskih apparatov (Aerodynamics of technological devices). Moscow: Mechanical Engineering, 1983. 351 p. 5. Kovalevskaya V. I. Izvestiya vuzov. Gorny zhurnal (Proceedings of high schools. Mining Journal), 1983. no. 3, pp. 81–86. 6. Loitsyansky L. G. Mehanika zhidkosti i gaza (Mechanics of fluid and gas). Moscow: Nauka, 1978. 736 p. 7. Makarov N. V., Patrakeeva I. Yu., Kostyuk P. A. Gorny informatsionno-analiticheskiy byulleten MGGU (Mining information-analytical bulletin of MSMU), 2016, no. 4, pp. 62–67. 8. Patent 2390657 RF (Patent 2390657 of the Russian Federation) / N. V. Makarov, S. V. Belov, V. I. Fomin, V. N. Makarov, S. A. Volkov; stated on 02.04.2008; publ. 2009. Bul. № 28. 9. Malmyth N. D., Marlhi V. D., Kole D. D. AIAA (AIAA), 1980, no. 18, pp. 14–16. 10. Mendelchall M. R., Spangler S. B. AIAA (AIAA), 1979, no. 120. 11. Rossow V. J. J. Aircraft (J. Aircraft), 1978, vol. 15, no. 9, pp. 618–625.
Full articleModification of residues method for aerodynamic calculation of vortex regulator of turbomachines