title: Ð Ð°ÑÑÑÑ Ð¿ÑÐ»ÑÑÐ°ÑÐ¸Ð¹ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð² Ð¿ÑÐ¾ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÐ°ÑÑÐ¸ Ð¿ÐµÑÐ²Ð¾Ð¹ ÑÑÑÐ¿ÐµÐ½Ð¸ Ð¾ÑÐµÐ²Ð¾Ð¹ ÑÑÑÐ±Ð¸Ð½Ñ Ð² Ð·Ð¾Ð½Ðµ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ ÑÐ¾ÑÐ¾Ñ-ÑÑÐ°ÑÐ¾Ñ
title: Calculation of pressure pulsations in the flow part of the first stage of an axial turbine in the rotor-stator interaction zone
Creators: name: Ð¢Ð¸Ð¼ÑÑÐµÐ², Ð¡ÐµÑÐ³ÐµÐ¹
name: ÐÐ¾Ð½Ð´ÑÐ°ÑÐ¾Ð², ÐÐ½Ð´ÑÐµÐ¹
name: "ÐÐ¸Ð´ÑÐ°Ð²Ð»Ð¸ÑÐµÑÐºÐ¸Ðµ Ð¼Ð°ÑÐ¸Ð½Ñ, Ð³Ð¸Ð´ÑÐ¾Ð¿ÑÐ¸Ð²Ð¾Ð´Ñ Ð¸ Ð³Ð¸Ð´ÑÐ¾Ð¿Ð½ÐµÐ²Ð¼Ð¾Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸ÐºÐ°. Ð¡Ð¾Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ Ð¸ Ð¿ÐµÑÑÐ¿ÐµÐºÑÐ¸Ð²Ñ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ñ", Ð¼ÐµÐ¶Ð´ÑÐ½Ð°ÑÐ¾Ð´Ð½Ð°Ñ Ð½Ð°ÑÑÐ½Ð¾-ÑÐµÑ Ð½Ð¸ÑÐµÑÐºÐ°Ñ ÐºÐ¾Ð½ÑÐµÑÐµÐ½ÑÐ¸Ñ (2020; Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³)
Publisher: name: ÐÐÐÐÐ¢ÐÐ¥-ÐÐ ÐÐ¡Ð¡
Year: 2020
Subjects: Ð Ð°ÐºÐµÑÐ½ÑÐµ Ð´Ð²Ð¸Ð³Ð°ÑÐµÐ»Ð¸ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ½ÑÐµ
Ð Ð¾ÑÐ¾ÑÑ
Ð¢ÑÑÐ±Ð¸Ð½Ñ

description: Ð¡ÐµÑÑÑÐ·Ð½Ð¾Ð¹ Ð¿ÑÐ¾Ð±Ð»ÐµÐ¼Ð¾Ð¹ Ð½Ð° Ð¿ÑÑÐ¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐ½ÑÑ ÑÐ°ÐºÐµÑÐ½ÑÑ Ð´Ð²Ð¸Ð³Ð°ÑÐµÐ»ÐµÐ¹ (ÐÐ Ð) Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°Ð·Ð¾Ð²Ð¾Ð³Ð¾ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²Ð»ÑÐµÑÑÑ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ðµ Ð²ÑÑÐ¾ÐºÐ¾Ð³Ð¾ ÑÐµÑÑÑÑÐ° Ð¸ Ð½Ð°Ð´ÑÐ¶Ð½Ð¾ÑÑÐ¸ Ð³Ð°Ð·Ð¾Ð²ÑÑ ÑÑÑÐ±Ð¸Ð½ ÑÑÑÐ±Ð¾Ð½Ð°ÑÐ¾ÑÐ½ÑÑ Ð°Ð³ÑÐµÐ³Ð°ÑÐ¾Ð² (Ð¢ÐÐ), Ð¾Ð±ÐµÑÐ¿ÐµÑÐ¸Ð²Ð°ÑÑÐ¸Ñ Ð¿Ð¾Ð´Ð°ÑÑ ÑÐ¾Ð¿Ð»Ð¸Ð²Ð° Ð² ÐºÐ°Ð¼ÐµÑÑ ÑÐ³Ð¾ÑÐ°Ð½Ð¸Ñ. Ð¢Ð°ÐºÐ°Ñ Ð·Ð°Ð´Ð°ÑÐ° Ð¼Ð¾Ð¶ÐµÑ Ð±ÑÑÑ ÑÐµÑÐµÐ½Ð° Ð¿ÑÐ¸ ÑÐ½Ð¸Ð¶ÐµÐ½Ð¸Ð¸ ÑÑÐ¾Ð²Ð½Ñ Ð¿ÑÐ»ÑÑÐ°ÑÐ¸Ð¹ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð² Ð·Ð¾Ð½Ðµ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ ÑÐ¾ÑÐ¾Ñ-ÑÑÐ°ÑÐ¾Ñ ÑÑÑÐ±Ð¸Ð½Ñ Ð¸ Ð´Ð¸Ð½Ð°Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ Ð½Ð°Ð³ÑÑÐ·Ð¾Ðº, Ð´ÐµÐ¹ÑÑÐ²ÑÑÑÐ¸Ñ Ð½Ð° ÑÐ°Ð±Ð¾ÑÐ¸Ðµ Ð¸ ÑÑÐ°ÑÐ¾ÑÐ½ÑÐµ Ð»Ð¾Ð¿Ð°ÑÐºÐ¸. Ð ÑÑÐ¾Ð¹ ÑÐ²ÑÐ·Ð¸ Ð¿Ð¾Ð»ÐµÐ·Ð½ÑÐ¼ Ð¸Ð½ÑÑÑÑÐ¼ÐµÐ½ÑÐ¾Ð¼ ÑÐ²Ð»ÑÐµÑÑÑ Ð¼ÐµÑÐ¾Ð´ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð³Ð¾ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ ÑÐ¶Ð¸Ð¼Ð°ÐµÐ¼Ð¾Ð³Ð¾ Ð³Ð°Ð·Ð° Ð² Ð¿ÑÐ¾ÑÐ¾ÑÐ½Ð¾Ð¹ ÑÐ°ÑÑÐ¸ ÑÑÑÐ±Ð¸Ð½Ñ Ñ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸ÐµÐ¼ Ð°Ð¼Ð¿Ð»Ð¸ÑÑÐ´Ñ Ð¿ÑÐ»ÑÑÐ°ÑÐ¸Ð¹ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ Ð² Ð¾ÑÐµÐ²Ð¾Ð¼ Ð·Ð°Ð·Ð¾ÑÐµ Ð¼ÐµÐ¶Ð´Ñ Ð»Ð¾Ð¿Ð°ÑÐ¾ÑÐ½ÑÐ¼Ð¸ ÑÐµÑÑÑÐºÐ°Ð¼Ð¸ ÑÑÐ°ÑÐ¾ÑÐ° Ð¸ ÑÐ¾ÑÐ¾ÑÐ°. Ð ÑÐ°ÑÑÑÑÐ½ÑÑ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð²ÑÐ¾Ð´ÑÑ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ ÐÐ°Ð²ÑÐµ-Ð¡ÑÐ¾ÐºÑÐ°, ÑÐ½ÐµÑÐ³Ð¸Ð¸ Ð¸ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½Ð¾-Ð´Ð¸ÑÑÑÐ·Ð¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð¿ÐµÑÐµÐ½Ð¾ÑÐ° ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¸ Ð¿ÑÐ¸Ð¼ÐµÑÐ¸. ÐÐ»Ð¾ÑÐ½Ð¾ÑÑÑ, ÑÐµÐ¿Ð»Ð¾Ð¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¾ÑÑÑ Ð¸ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ Ð´Ð¸ÑÑÑÐ·Ð¸Ð¸ Ð»Ð¸Ð½ÐµÐ¹Ð½Ð¾ Ð·Ð°Ð²Ð¸ÑÑÑ Ð¾Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð¸ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¸Ð¸.
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description: A serious issue in the development of reusable liquid-propellant rocket engines (LRE) is the provision of a high resource and reliability of gas turbines of turbopump, which supply fuel to the combustion chamber. This problem can be solved by reducing the level of pressure pulsations in the interaction zone of the turbine rotor-stator and dynamic loads acting on the working and stator blades. In this regard, a useful tool is the method of numerical simulation of the unsteady turbulent flow of a compressible gas in the turbine flow path with determination of the amplitude of pressure pulsations in the axial clearance between the stator and rotor blade cascades. The calculation model includes the Navier-Stokes equations, energy, and the equation of convective-diffusion transport of the impurity concentration. Density, thermal conductivity and diffusion coefficient are linearly dependent on temperature and concentration.
Calculations were performed on different grids, proving the grid convergence of the method upon reaching the quasistationary regime. The calculation results show that the pressure pulsations highly depends on the axial clearance, and the main frequency of the pressure pulsations in the spectrum is the blade passing frequency of working blades. The blade moment frequency also coincides with the indicated frequency.