ipolytechiPolytech JournaliPolytech Journal2782-40042782-6341Irkutsk National Research Technical University10.21285/1814-3520-2023-3-518-526WOSBCKipolytech-733Research ArticleЭНЕРГЕТИКАPOWER ENGINEERINGОбработка экспериментальных результатов суперкавитационного обтекания конуса методом локальной полиномиальной регрессии (LOESS)Processing of experimental results for super-cavitating flow past cone by local polynomial regression (LOESS)https://orcid.org/0009-0007-7116-2380ГришаевД. А.GrishaevD. A.

Гришаев Денис Андреевич, аспирант

660041, г. Красноярск, пр-т. Свободный, 79

Denis A. Grishaev, Postgraduate student

79, Svobodny pr., Krasnoyarsk 660041

frank_benyton@mail.ruРадзюкА. Ю.RadzyukA. Yu.

Радзюк Александр Юрьевич, к.т.н., доцент, доцент кафедры теплотехники и гидрогазодинамики

660041, г. Красноярск, пр-т. Свободный, 79

Aleksandr Yu. Radzyuk, Cand. Sci. (Eng.), Associate Professor, Associate Professor of the Department of Heat Technology and Fluid Dynamics

79, Svobodny pr., Krasnoyarsk 660041

aradzyuk@sfu-kras.ruИстягинаЕ. Б.IstyaginaE. B.

Истягина Елена Борисовна, к.ф.-м.н., доцент, доцент кафедры теплотехники и гидрогазодинамики

660041, г. Красноярск, пр-т. Свободный, 79

Elena B. Istyagina, Cand. Sci. (Phys. and Math.), Associate Professor, Associate Professor of the Department of Heat Technology and Fluid Dynamics

79, Svobodny pr., Krasnoyarsk 660041

tim.484@mail.ruСибирский федеральный университетРоссияSiberian Federal UniversityRussian Federation202303102023273518526Copyright © Гришаев Д.А., Радзюк А.Ю., Истягина Е.Б., 20232023Гришаев Д.А., Радзюк А.Ю., Истягина Е.Б.Grishaev D.A., Radzyuk A.Y., Istyagina E.B.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://ipolytech.elpub.ru/jour/article/view/733

Цель – получение зависимостей, описывающих параметры потока при суперкавитационном обтекании препятствия, часто встречающемся в различных элементах теплоэнергетических систем и установок, а также предложение доступного и достоверного метода для анализа массивов экспериментальных данных течений в таких системах. Натурное моделирование кавитационных процессов выполнялось на циркуляционном гидродинамическом стенде. Был исследован процесс суперкавитационного обтекания конусов с диаметрами основания 15,45 мм и 21,75 мм с углами раскрытия 154° и 127°, соответственно, в рабочем участке диаметром 30 мм. Полученные экспериментальные данные представляли собой четырехмерный массив, который описывал зависимость длины каверны, возникающей за препятствием, и давление в ней от скорости потока и температуры. Из-за сложности обработки и визуального представления данный массив экспериментальных данных был разбит на два трехмерных массива. Аппроксимация полученных данных выполнялась методом сглаживания локально оцененной диаграммы рассеивания. Выполненная аппроксимация с использованием метода локальной полиномиальной регрессии показала, что момент перехода от парогазовой к паровой кавитации не зависит от геометрических размеров препятствия. Также в результате обработки экспериментальных данных была получена зависимость, соответствующая процессу перехода к паровой кавитации. Предложено эмпирическое уравнение, описывающее такой переход. Таким образом, метод сглаживания локально оцененной диаграммы рассеивания (локальной полиномиальной регрессии) наглядно показал взаимосвязь между обрабатываемыми данными. Предложенное эмпирическое уравнение позволяет определить критическую длину каверны, соответствующую переходу от парогазовой кавитации к паровой, и может быть использовано при проектировании и эксплуатации теплоэнергетического оборудования.

The aim of the study is to define the correlations describing the flow parameters during super-cavitating flow past an obstacle, often found in various elements of thermal power systems and units, as well as to offer a simple and reliable method for analysing experimental datasets for the flows in such systems. Full-scale modelling of cavitation processes was carried out using a circulating hydrodynamic set-up. The process of super-cavitation flow past cones with base diameters of

15.45 and 21.75 mm and opening angles of 154° and 127°, respectively, in a working section having a diameter of 30 mm, was investigated. The obtained experimental data comprises a four-dimensional array that describes the dependence of the cavity length arising behind the obstacle and the pressure inside the cavity on the flow rate and temperature. Due to the complexity of processing and visual representation, this array was divided into two three-dimensional arrays. The approximation of the obtained data was carried out by locally estimated scatterplot smoothing (LOESS). The results demonstrated that the transition from vapour–gas to vapour cavitation is independent of the geometric dimensions of the obstacle. In addition, the dependence corresponding to the transition process to vapour cavitation was obtained by processing the experimental data. An empirical equation describing such a transition is proposed. Therefore, the method of smoothing a locally estimated scatter plot (local polynomial regression) illustrates the correlation between the processed data. The proposed empirical equation allows the critical length of the cavity to be determined that corresponds to the transition from vapour–gas to vapour cavitation and can be used for the design and operation of thermal power equipment.

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The authors declare that there are no conflicts of interest present.