title: Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÑÐµÐºÑÐ° ÑÐ½ÐµÑÐ³Ð¾ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ð¸Ñ Ð² Ð²Ð¸Ñ ÑÐµÐ²Ð¾Ð¹ ÑÑÑÐ±Ðµ Ð¿ÑÐ¸ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ð¼ ÑÐµÑÐµÐ½Ð¸Ð¸ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÑÐµÑ Ð¼ÐµÑÐ½Ð¾Ð¹ ÑÐ¾ÑÐ¼ÑÐ»Ð¸ÑÐ¾Ð²ÐºÐ¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: Numerical modeling of the energy separation effect in the vortex tube at laminar flow based on a three-dimensional formulation
Creators: name: ÐÐ°Ð·Ð°ÑÐµÐ²Ð°, ÐÐ¸Ð¾Ð»ÐµÑÑÐ°
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°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÐÐ°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
ÐÐ¸Ñ ÑÐµÐ²ÑÐµ ÑÑÑÐ±Ñ
ÑÑÑÐµÐºÑ ÑÐ½ÐµÑÐ³Ð¾ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ð¸Ñ
ÑÑÐµÑ Ð¼ÐµÑÐ½Ð°Ñ ÑÐ¾ÑÐ¼ÑÐ»Ð¸ÑÐ¾Ð²ÐºÐ°
energy separation effect
3D formulation

description: ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ ÑÐ°Ð±Ð¾ÑÑ: 1. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÑÐµÑÐ¼ÐµÑÐ½Ð¾Ð¹ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð¹ ÑÐµÐºÑÐ¾ÑÐ½Ð¾Ð¹ (60) Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð´Ð»Ñ ÑÐ°ÑÑÐµÑÐ° ÑÑÑÐµÐºÑÐ° ÑÐ½ÐµÑÐ³Ð¾ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ð¸Ñ Ð² Ð²Ð¸ÑÑÐµÐ²Ð¾Ð¹ ÑÑÑÐ±Ðµ Ð¿ÑÐ¸ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ð¼ ÑÐµÐ¶Ð¸Ð¼Ðµ ÑÐµÑÐµÐ½Ð¸Ñ. 2. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÑÐµÑÐ¼ÐµÑÐ½Ð¾Ð¹ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð¹ Ð¿Ð¾Ð»Ð½Ð¾Ð¹ (360), Ð²ÐºÐ»ÑÑÐ°ÑÑÐµÐ¹ Ð¾ÑÐ²Ð¾Ð´ÑÑÐ¸Ð¹ Ð¿Ð°ÑÑÑÐ±Ð¾Ðº, Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð´Ð»Ñ ÑÐ°ÑÑÐµÑÐ° ÑÑÑÐµÐºÑÐ° ÑÐ½ÐµÑÐ³Ð¾ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ð¸Ñ Ð² Ð²Ð¸ÑÑÐµÐ²Ð¾Ð¹ ÑÑÑÐ±Ðµ Ð¿ÑÐ¸ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ð¼ ÑÐµÐ¶Ð¸Ð¼Ðµ ÑÐµÑÐµÐ½Ð¸Ñ. 3. ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð²Ð¸ÑÑÐµÐ²Ð¾Ð¹ ÑÑÑÐ±Ðµ Ð´Ð»Ñ ÑÐ°Ð·Ð½ÑÑ ÑÐ°ÑÑÐµÑÐ½ÑÑ Ð¼Ð¾Ð´ÐµÐ»ÐµÐ¹. 4. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÑÐµÑÐ¼ÐµÑÐ½Ð¾ÑÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð²Ð¸ÑÑÐµÐ²Ð¾Ð¹ ÑÑÑÐ±Ðµ Ð¸ Ð½ÐµÑÑÐ¸Ð¼ÐµÑÑÐ¸Ð¸ Ð²ÑÑÐ¾Ð´Ð° Ð½Ð° ÑÑÑÐµÐºÑ ÑÐ½ÐµÑÐ³Ð¾ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ð¸Ñ. Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð² ÑÐ°Ð¼ÐºÐ°Ñ ÑÑÐµÑÐ¼ÐµÑÐ½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ ÑÑÑÐµÐºÑÐ° ÑÐ½ÐµÑÐ³Ð¾ÑÐ°Ð·Ð´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¿ÑÐ¸ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ð¼ ÑÐµÐ¶Ð¸Ð¼Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ñ ÑÑÐµÑÐ¾Ð¼ ÑÐ¾Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾Ð³Ð¾ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½Ð°. ÐÐ»Ñ Ð¾ÑÐµÐ½ÐºÐ¸ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÑÐµÑÐ¼ÐµÑÐ½Ð¾ÑÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ñ Ð±ÑÐ»Ð¸ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ð´Ð²Ðµ ÑÐ°ÑÑÐµÑÐ½ÑÐµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð²Ð¸ÑÑÐµÐ²Ð¾Ð¹ ÑÑÑÐ±Ñ: ÑÐµÐºÑÐ¾ÑÐ½Ð°Ñ (60) Ð¸ Ð¿Ð¾Ð»Ð½Ð°Ñ (360), Ð²ÐºÐ»ÑÑÐ°ÑÑÐ°Ñ Ð¾ÑÐ²Ð¾Ð´ÑÑÐ¸Ð¹ Ð¿Ð°ÑÑÑÐ±Ð¾Ðº. Ð ÑÐ°Ð±Ð¾ÑÐµ Ð±ÑÐ»Ð° Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¾ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ðµ Ð²ÐµÐ»Ð¸ÑÐ¸Ð½Ñ Ð·Ð°ÐºÑÑÑÐºÐ¸ Ð½Ð° Ð²ÑÐ¾Ð´Ðµ Ð² ÐºÐ¾Ð»ÑÑÐµÐ²ÑÑ ÑÐµÐ»Ñ. ÐÐ° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð½ÑÑ ÑÐ°ÑÑÐµÑÐ¾Ð², Ð±ÑÐ»Ð¾ ÑÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð¾ ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð¸Ðµ Ð¸Ð½ÑÐµÐ½ÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð¾ÑÐ»Ð°Ð¶Ð´ÐµÐ½Ð¸Ñ Ð²Ð¸ÑÑÐµÐ²Ð¾Ð¹ ÑÑÑÐ±Ñ Ð¸ Ð»ÑÑÑÐµÐµ ÑÐ¾Ð³Ð»Ð°ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸.
description: The objectives of the research were as follows: 1. Building of a three-dimensional numerical sector (60) model for calculating the effect of energy separation in a vortex tube under laminar flow. 2. Building of a three-dimensional numerical complete (360), including an outlet pipe, models for calculating the effect of energy separation in a vortex tube under laminar flow. 3. Simulation of flow in vortex tube for different design models. 4. Study of the effect of three-dimensional flow in a vortex pipe and output none symmetry on the energy separation effect. This paper presents the results of numerical modeling within the framework of a three-dimensional calculation of the energy separation effect at laminar flow considering conjugate heat exchange. Two design models of the vortex pipe were considered to assess the effect of the three-dimensional flow: sector (60) and full (360), which includes an outlet pipe. In operation, the value of the twist value at the inlet to the annular slot was determined. Based on the results of the calculations, a decrease in the cooling intensity of the vortex pipe and better coordination with the experimental data were established.