title: Ð Ð°ÑÑÐµÑ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð·Ð°Ð·Ð¾ÑÐ°Ñ ÑÐ¾ÑÐ¾ÑÐ½Ð¾-Ð»Ð¾Ð¿Ð°ÑÑÐ½Ð¾Ð³Ð¾ Ð´Ð²Ð¸Ð³Ð°ÑÐµÐ»Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Calculation of flow in the gaps of the rotor-blade engine
Creators: name: ÐÐ¾Ð¶Ð²Ð°Ð½ÑÐº, ÐÑÐµÐ½Ð¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: ÑÐ¾ÑÐ¾ÑÐ½Ð¾-Ð»Ð¾Ð¿Ð°ÑÑÐ½Ð°Ñ Ð¼Ð°ÑÐ¸Ð½Ð°
Ð·Ð°Ð·Ð¾Ñ
Ð»Ð¾Ð¿Ð°ÑÑÑ
ÑÐ°ÑÑ Ð¾Ð´
ÐºÑÐ¸ÑÐ¸ÑÐµÑÐºÐ¸Ð¹ ÑÐµÐ¶Ð¸Ð¼ ÑÐµÑÐµÐ½Ð¸Ñ
Ð·Ð°Ð¿Ð¸ÑÐ°Ð½Ð¸Ðµ ÐºÐ°Ð½Ð°Ð»Ð°
Ð¿ÐµÑÐµÐ¿Ð°Ð´ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ
rotor-blade machine
gap
blade
flow
critical flow regime
channel locking
pressure drop

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð³Ð°Ð·Ð° Ð² Ð·Ð°Ð·Ð¾ÑÐµ Ð¼ÐµÐ¶Ð´Ñ Ð¿Ð¾Ð´Ð²Ð¸Ð¶Ð½ÑÐ¼Ð¸ Ð»Ð¾Ð¿Ð°ÑÑÑÐ¼Ð¸, ÑÐ¾Ð²ÐµÑÑÐ°ÑÑÐ¸Ð¼Ð¸ ÐºÑÑÐ³Ð¾Ð²Ð¾Ðµ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ðµ, Ð¸ Ð½ÐµÐ¿Ð¾Ð´Ð²Ð¸Ð¶Ð½ÑÐ¼ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¸Ð¼ ÐºÐ¾ÑÐ¿ÑÑÐ¾Ð¼ ÑÐ¾ÑÐ¾ÑÐ½Ð¾-Ð»Ð¾Ð¿Ð°ÑÑÐ½Ð¾Ð¹ Ð¼Ð°ÑÐ¸Ð½Ñ. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð¿ÑÐ¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¸: - ÐÐ»Ð¸ÑÐ½Ð¸Ðµ Ð²ÑÐ¾Ð´Ð½ÑÑ Ð¸ Ð²ÑÑÐ¾Ð´Ð½ÑÑ ÑÑÐ°ÑÑÐºÐ¾Ð²; - ÐÐ°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð² ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ; - ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÑÐ¸ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ Ñ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÑÑ Ð¾Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ð³ÑÐ°Ð½Ð¸ÑÐ½ÑÑ ÑÑÐ»Ð¾Ð²Ð¸Ð¹; - ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐ°Ð³Ð° Ð´Ð¸ÑÐºÑÐµÑÐ¸Ð·Ð°ÑÐ¸Ð¸ Ð¿Ð¾ Ð²ÑÐµÐ¼ÐµÐ½Ð¸. - ÐÑÐµÐ½ÐºÐ° Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¿ÐµÑÐµÑÐµÑÐµÐº Ð¼ÐµÐ¶Ð´Ñ ÑÐ°Ð±Ð¾ÑÐ¸Ð¼Ð¸ ÐºÐ°Ð¼ÐµÑÐ°Ð¼Ð¸ Ð½Ð° ÑÐµÐ¶Ð¸Ð¼ ÑÐ°Ð±Ð¾ÑÑ ÑÐ¾ÑÐ¾ÑÐ½Ð¾-Ð»Ð¾Ð¿Ð°ÑÑÐ½Ð¾Ð¹ Ð¼Ð°ÑÐ¸Ð½Ñ Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÐ°ÑÑÐµÑÐ¾Ð² Ð² Ð´Ð²ÑÐ¼ÐµÑÐ½Ð¾Ð¹ ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ Ð¾ÑÐµÐ½ÐºÐ¸ ÑÐ°ÑÑÐ¾Ð´Ð½ÑÑ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº ÑÐµÐ»ÐµÐ²Ð¾Ð³Ð¾ Ð·Ð°Ð·Ð¾ÑÐ° ÑÐ¾ÑÐ¾ÑÐ½Ð¾-Ð»Ð¾Ð¿Ð°ÑÑÐ½Ð¾Ð¹ Ð¼Ð°ÑÐ¸Ð½Ñ. Ð£ÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð½Ð° Ð²ÐµÐ»Ð¸ÑÐ¸Ð½Ñ ÑÐ°ÑÑÐ¾Ð´Ð° Ð¿ÐµÑÐµÐ¿Ð°Ð´Ð° Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ñ, Ð²ÑÐ°ÑÐµÐ½Ð¸Ñ ÑÐ¾ÑÐ¾ÑÐ° Ð¸ Ð»Ð¾Ð¿Ð°ÑÑÐ¸, ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÐ½Ð¾Ð³Ð¾ ÑÐ°ÐºÑÐ¾ÑÐ° Ð¸ Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÐµÐ¶Ð¸Ð¼Ð° ÑÐµÑÐµÐ½Ð¸Ñ Ð³Ð°Ð·Ð°, Ð² ÑÐ»ÑÑÐ°Ðµ Ð¿ÐµÑÐµÑÐ¾Ð´Ð° Ðº ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð¹ ÑÐ¾ÑÐ¼Ðµ Ð´Ð²Ð¸Ð¶ÐµÐ½Ð¸Ñ. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ°ÐºÑÐ¾ÑÐ½ÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐµÐ¶Ð¸Ð¼Ð¾Ð² ÑÐµÑÐµÐ½Ð¸Ñ Ð³Ð°Ð·Ð° Ð² ÑÐµÐ»ÐµÐ²Ð¾Ð¼ Ð·Ð°Ð·Ð¾ÑÐµ, Ð² ÑÐ¾Ð¼ ÑÐ¸ÑÐ»Ðµ â ÐºÑÐ¸ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾, ÑÐ²ÑÐ·Ð°Ð½Ð½Ð¾Ð³Ð¾ Ñ Ð·Ð°Ð¿Ð¸ÑÐ°Ð½Ð¸ÐµÐ¼ Ð¿Ð¾ÑÐ¾ÐºÐ°. ÐÐ¾ÑÐ»Ðµ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÑÐµÑÐµÐ½Ð¸Ñ ÑÐµÑÐ¸Ð¸ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½ÑÑ Ð·Ð°Ð´Ð°Ñ Ð±ÑÐ»Ð° ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð° Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð°Ñ Ð´Ð²ÑÐ¼ÐµÑÐ½Ð°Ñ Ð·Ð°Ð´Ð°ÑÐ°, Ð´Ð»Ñ ÑÑÐµÑÐ° Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐ¸ Ð¾Ñ Ð²ÑÐµÐ¼ÐµÐ½Ð¸ Ð²ÑÐ¾Ð´Ð½ÑÑ Ð¸ Ð²ÑÑÐ¾Ð´Ð½ÑÑ Ð³ÑÐ°Ð½Ð¸ÑÐ½ÑÑ ÑÑÐ»Ð¾Ð²Ð¸Ð¹. ÐÐ»Ñ Ð²ÑÐ±ÑÐ°Ð½Ð½ÑÑ ÑÐµÐ¶Ð¸Ð¼Ð½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð², Ð² ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð² Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ, ÑÐ´ÐµÐ»Ð°Ð½Ñ Ð²ÑÐ²Ð¾Ð´Ñ Ð¾ ÐºÐ²Ð°Ð·Ð¸ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ð¼ ÑÐ°ÑÐ°ÐºÑÐµÑÐµ ÑÐµÑÐµÐ½Ð¸Ñ Ð³Ð°Ð·Ð°. Ð¢Ð°Ðº Ð¶Ðµ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð° Ð¾ÑÐµÐ½ÐºÐ° Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¿ÐµÑÐµÑÐµÑÐµÐº Ð³Ð°Ð·Ð° Ð¼ÐµÐ¶Ð´Ñ ÑÐ°Ð±Ð¾ÑÐ¸Ð¼Ð¸ ÐºÐ°Ð¼ÐµÑÐ°Ð¼Ð¸ ÑÐ¾ÑÐ¾ÑÐ½Ð¾-Ð»Ð¾Ð¿Ð°ÑÑÐ½Ð¾Ð¹ Ð¼Ð°ÑÐ¸Ð½Ñ. Ð¡Ð´ÐµÐ»Ð°Ð½ Ð²ÑÐ²Ð¾Ð´, ÑÑÐ¾ Ð¿Ð¾ÑÐµÑÐ¸ Ð¼Ð°ÑÑÑ Ð² ÑÐ°Ð±Ð¾ÑÐµÐ¹ ÐºÐ°Ð¼ÐµÑÐµ ÑÐ¾ÑÑÐ°Ð²Ð»ÑÑÑ 3%.
description: This work is devoted to the study of gas flow in the gap between the movable blades, making a circular motion, and the stationary cylindrical body of the rotor-blade machine. The problems that were solved in the study are: - Influence of input and output sections; - Parametric study under steady-state formulation; - Study in non-stationary formulation with time-dependent boundary conditions; - Investigation of the influence of time discretization step. - Estimation of the influence of overflows between the working chambers on the rotor-blade machine operation mode As a result of calculations in a two-dimensional stationary formulation, the flow characteristics of the slot gap of the rotor-blade machine have been evaluated. The influence of pressure drop, rotor and blade rotation, temperature factor and change of gas flow regime in case of transition to turbulent form of motion on the flow rate has been established. Multifactor studies of various gas flow regimes in the slot gap, including the critical one associated with flow locking have been carried out. After analyzing the solution of a series of parametric stationary problems, an unsteady two-dimensional problem was considered to take into account the time dependence of the input and output boundary conditions. For the selected regime parameters, as a result of solving the problem in the non-stationary formulation, conclusions about the quasi-stationary nature of gas flow were made. The influence of gas leakage between the working chambers of the rotor-blade machine is also evaluated. It is concluded that mass losses in the working chamber are 3%.