title: ÐÐ»Ð¸ÑÐ½Ð¸Ðµ ÑÐ¿Ð¾ÑÐ¾Ð±Ð¾Ð² ÑÑÑÑÐ° ÑÐµÐ°Ð»ÑÐ½Ð¾ÑÑÐ¸ Ð³Ð°Ð·Ð° Ð½Ð° Ñ Ð°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ ÑÐµÐ½ÑÑÐ¾Ð±ÐµÐ¶Ð½ÑÑ ÐºÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÐ¾Ð²
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: The influence of gas reality accounting methods on the characteristics of centrifugal compressors
Creators: name: Ð¨Ð°ÑÐ¸ÐºÐ¾Ð², ÐÐ»Ñ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: 2023
Subjects: Ð¸Ð´ÐµÐ°Ð»ÑÐ½ÑÐ¹ Ð³Ð°Ð·
ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ ÑÐ¶Ð¸Ð¼Ð°ÐµÐ¼Ð¾ÑÑÐ¸
Ð¼ÐµÑÐ°Ð½
Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»Ñ Ð°Ð´Ð¸Ð°Ð±Ð°ÑÑ
Ð¿ÑÐ¸ÑÐ¾Ð´Ð½ÑÐ¹ Ð³Ð°Ð·
ÑÐµÐ°Ð»ÑÐ½Ð¾ÑÑÑ Ð³Ð°Ð·Ð°
ÑÐµÐ°Ð»ÑÐ½ÑÐ¹ Ð³Ð°Ð·
ÑÐµÐ½ÑÑÐ¾Ð±ÐµÐ¶Ð½ÑÐ¹ ÐºÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾Ñ
ideal gas
compressibility factor
methane
adiabatic index
natural gas
gas reality
real gas
centrifugal compressor

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐ¿Ð¾ÑÐ¾Ð±Ð¾Ð² ÑÑÑÑÐ° ÑÐµÐ°Ð»ÑÐ½Ð¾ÑÑÐ¸ Ð³Ð°Ð·Ð° Ð½Ð° ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ ÐÐÐ (ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ° Ð¿Ð¾Ð»ÐµÐ·Ð½Ð¾Ð³Ð¾ Ð´ÐµÐ¹ÑÑÐ²Ð¸Ñ) Ð¸ Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ð¹ ÑÐµÐ½ÑÑÐ¾Ð±ÐµÐ¶Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÐ° Ð¦ÐÐ405-1,44/101-5000/25Ð¡ÐÐ. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. ÐÐ¾Ð´Ð±Ð¾Ñ Ð¸ Ð¾Ð±Ð·Ð¾Ñ Ð¼ÐµÑÐ¾Ð´Ð¸Ðº Ð´Ð»Ñ ÑÐ°ÑÑÑÑÐ° Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð², ÑÑÐ¸ÑÑÐ²Ð°ÑÑÐ¸Ñ ÑÐµÐ°Ð»ÑÐ½Ð¾ÑÑÑ Ð³Ð°Ð·Ð°: k, zR. 2. ÐÐ°Ð¿Ð¸ÑÐ°Ð½Ð¸Ðµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð´Ð° Ð²ÑÐ±ÑÐ°Ð½Ð½ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¸Ðº Ð½Ð° ÑÐ·ÑÐºÐµ Visual Basic Ð´Ð»Ñ ÑÐ¾ÑÐ½Ð¾Ð³Ð¾ Ð¸ Ð±ÑÑÑÑÐ¾Ð³Ð¾ ÑÐ°ÑÑÑÑÐ° Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð² k, zR. 3. Ð Ð°ÑÑÑÑ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº ÑÐµÐ½ÑÑÐ¾Ð±ÐµÐ¶Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÐ° Ð¦ÐÐ405-1,44/101-5000/25Ð¡ÐÐ Ð¿Ð¾ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ Ð¼ÐµÑÐ¾Ð´Ð° ÑÐ½Ð¸Ð²ÐµÑÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ°Ñ, ÑÑÐ¸ÑÑÐ²Ð°ÑÑÐ¸Ñ ÑÐµÐ°Ð»ÑÐ½Ð¾ÑÑÑ Ð³Ð°Ð·Ð° Ð¿ÑÐ¸ Ð·Ð°Ð´Ð°Ð½Ð½Ð¾Ð¼ ÑÐ¾ÑÑÐ°Ð²Ðµ Ð³Ð°Ð·Ð°. 4. Ð Ð°ÑÑÑÑ ÑÐµÐ¼ÐµÐ¹ÑÑÐ² ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº Ð¿ÑÐ¸ ÑÐ°Ð·Ð½ÑÑ Ð¾Ð±Ð¾ÑÐ¾ÑÐ°Ñ. 5. ÐÐ½Ð°Ð»Ð¸Ð· Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ. Ð ÑÐ¾Ð´Ðµ Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ Ð´Ð»Ñ ÑÐ°ÑÑÑÑÐ° ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº Ð±ÑÐ»Ð¸ Ð²ÑÐ±ÑÐ°Ð½Ñ ÑÑÐ¸ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ¸ ÑÑÑÑÐ° ÑÐµÐ°Ð»ÑÐ½Ð¾ÑÑÐ¸ Ð³Ð°Ð·Ð°: Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ°, ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð°Ñ ÐÐÐÐÐÐÐ Ð¿Ð¾ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ ÐÐµÐ½ÐµÐ´Ð¸ÐºÑÐ°-ÐÑÐ±Ð±Ð°-Ð Ð°Ð±Ð¸Ð½Ð° (ÐÐÐ ); Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ°, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑÑÐ°Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ñ ÑÐ¼ÐµÑÐ¸ Ð³Ð°Ð·Ð¾Ð² ÐÐ°Ð³Ð¾ÑÑÑÐµÐ½ÐºÐ¾ Ð.Ð. Ð¸ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ°, ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð½Ð°Ñ Ð¿Ð¾ Ð¡Ð¢Ð ÐÐ°Ð·Ð¿ÑÐ¾Ð¼ 2-3.5-113-2007; Ð²ÑÐ±ÑÐ°Ð½Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ¸ Ð±ÑÐ»Ð¸ ÑÐ²ÐµÐ´ÐµÐ½Ñ Ð² ÐµÐ´Ð¸Ð½ÑÑ ÐºÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½ÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ, Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð±ÑÐ»Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ, ÑÑÐ¸ÑÑÐ²Ð°ÑÑÐ¸Ðµ ÑÐµÐ°Ð»ÑÐ½Ð¾ÑÑÑ Ð³Ð°Ð·Ð°: k, zR. ÐÐ°Ð»ÐµÐµ Ð¿Ð¾ ÑÐ¿ÐµÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð¹ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ðµ Ð±ÑÐ»Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸ÐºÐ¸ ÐÐÐ Ð¸ Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ Ð´Ð°Ð²Ð»ÐµÐ½Ð¸Ð¹ Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð¾Ð±Ð¾ÑÐ¾ÑÐ°Ñ ÑÐ¾ÑÐ¾ÑÐ° ÐºÐ¾Ð¼Ð¿ÑÐµÑÑÐ¾ÑÐ°. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº Ð±ÑÐ» ÑÐ´ÐµÐ»Ð°Ð½ Ð²ÑÐ²Ð¾Ð´, ÑÑÐ¾ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ°, ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð½Ð°Ñ Ð¿Ð¾ Ð¡Ð¢Ð ÐÐ°Ð·Ð¿ÑÐ¾Ð¼ 2-3.5-113-2007, Ð¸ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ°, Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑÑÐ°Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÐÐÐ , Ð´Ð°ÑÑ ÑÐ°Ð¼ÑÐµ Ð±Ð»Ð¸Ð·ÐºÐ¸Ðµ Ðº ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼ Ð´Ð°Ð½Ð½ÑÐ¼ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ.
description: This work is dedicated to the study of the influence of gas reality accounting methods on the efficiency characteristics and pressure ratio of the centrifugal compressor CBC405-1.44/101-5000/25SMP. The research set the following goals: 1. Selection and review of methods for calculating parameters that consider gas reality: k, zR. 2. Writing software code for the selected methods using Visual Basic language for accurate and fast calculation of parameters k, zR. 3. Calculation of the characteristics of the centrifugal compressor CBC405-1.44/101-5000/25SMP using the program of the universal modeling method at various parameters that consider gas reality with a given gas composition. 4. Calculation of a series of characteristics at different speeds. 5. Analysis of the obtained data. During this work, three methods for accounting for gas reality were chosen: the method developed by VNIIGAZ based on the Benedict-Webb-Rubin equation (BWR); the method using the equation of state of gas mixture by Zagoruchenko V.A.; and the method established according to the standard of Gazprom 2-3.5-113-2007. These selected methods were combined into a single computer program that was used to obtain parameters that consider gas reality: k, zR. Subsequently, using a specialized program, the efficiency characteristics and pressure ratio were obtained at different rotor speeds of the compressor. As a result of the analysis of the characteristics, it was concluded that the method established according to the standard of Gazprom 2-3.5-113-2007 and the method using the BWR equation give the results closest to the experimental data.