title: Ð­ÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½Ð¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð½ÐµÐ³Ð»Ð°Ð´ÐºÐ¾ÑÑÐ¸ Ð²Ñ Ð¾Ð´Ð° Ð½Ð° ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ðµ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¸Ð·Ð¾Ð³Ð½ÑÑÐ¾Ð¹ ÑÑÑÐ±ÐºÐµ
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: Experimental study of the influence of inletnon-smoothness on the development of laminar flow in a curved tube
Creators: name: ÐÐ¾ÐºÑÐ°ÑÐ¾Ð²Ð°, ÐÐ»ÐµÐ½Ð°
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: Ð¸Ð·Ð¾Ð³Ð½ÑÑÐ°Ñ ÑÑÑÐ±ÐºÐ°
Ð½ÐµÐ³Ð»Ð°Ð´ÐºÐ¸Ð¹ Ð²Ñ Ð¾Ð´
Ð²ÑÐ¾ÑÐ¸ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
Ð²Ð¸Ñ ÑÐ¸ Ð´Ð¸Ð½Ð°
Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾-ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½ÑÐ¹ Ð¿ÐµÑÐµÑ Ð¾Ð´
ÑÐ¸ÑÐ»Ð¾ Ð ÐµÐ¹Ð½Ð¾Ð»ÑÐ´ÑÐ°
ÑÐ°Ð´Ð¸ÑÑ ÐºÑÐ¸Ð²Ð¸Ð·Ð½Ñ
Ð²Ð½ÐµÐ·Ð°Ð¿Ð½Ð¾Ðµ ÑÑÐ¶ÐµÐ½Ð¸Ðµ
curved pipe
non-smooth inlet
secondary flow
dean vortices
laminar flow
laminar-turbulent transition
Reynolds number
radius of curvature
sudden contraction

description: Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ð³Ð¾, Ð¿ÐµÑÐµÑÐ¾Ð´Ð½Ð¾Ð³Ð¾ Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ð¹ Ð² Ð¸Ð·Ð¾Ð³Ð½ÑÑÐ¾Ð¹ ÑÑÑÐ±ÐºÐµ Ñ Ð½ÐµÐ³Ð»Ð°Ð´ÐºÐ¸Ð¼ Ð²ÑÐ¾Ð´Ð¾Ð¼ Ð² Ð²Ð¸Ð´Ðµ Ð²Ð½ÐµÐ·Ð°Ð¿Ð½Ð¾Ð³Ð¾ ÑÑÐ¶ÐµÐ½Ð¸Ñ. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ Ð´Ð»Ñ Ð¸Ð·Ð¾Ð³Ð½ÑÑÐ¾Ð¹ ÑÑÑÐ±ÐºÐ¸ Ñ ÑÐ°Ð´Ð¸ÑÑÐ¾Ð¼ ÐºÑÐ¸Ð²Ð¸Ð·Ð½Ñ = / â 1/12 Ð¸ Ð²Ð½ÐµÐ·Ð°Ð¿Ð½Ð¾Ð³Ð¾ ÑÑÐ¶ÐµÐ½Ð¸Ñ / â 2.5. Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ð´Ð²Ð° Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ° ÑÐ°ÑÐ¿Ð¾Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ Ð²ÑÐ¾Ð´Ð½Ð¾Ð¹ ÐºÑÐ¾Ð¼ÐºÐ¸ ÑÑÑÐ±ÐºÐ¸: Ð·Ð°Ð¿Ð¾Ð´Ð»Ð¸ÑÐ¾ Ñ Ð¿Ð»Ð¾ÑÐºÐ¾ÑÑÑÑ Ð²Ð½ÐµÐ·Ð°Ð¿Ð½Ð¾Ð³Ð¾ ÑÑÐ¶ÐµÐ½Ð¸Ñ Ð¸ Ð²ÑÑÑÑÐ¿Ð°ÑÑÐµÐ¹ Ð½Ð° Ð¾Ð´Ð¸Ð½ ÐºÐ°Ð»Ð¸Ð±Ñ Ð¾Ñ Ð²Ð½ÐµÐ·Ð°Ð¿Ð½Ð¾Ð³Ð¾ ÑÑÐ¶ÐµÐ½Ð¸Ñ. ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐµÐ½Ñ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1. Ð Ð°ÑÑÑÐ¸ÑÐ°Ð½Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÑÐµÐ½Ð´Ð° Ð´Ð»Ñ Ð²Ð¸Ð·ÑÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¸Ð·Ð¾Ð³Ð½ÑÑÐ¾Ð¹ ÑÑÑÐ±ÐºÐµ Ð² ÑÑÐ»Ð¾Ð²Ð¸ÑÑ Ð½ÐµÐ³Ð»Ð°Ð´ÐºÐ¾Ð³Ð¾ Ð²ÑÐ¾Ð´Ð°; 2. Ð¡Ð¾Ð±ÑÐ°Ð½ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¹ ÑÑÐµÐ½Ð´, Ñ Ð·Ð°Ð´Ð°Ð½Ð¸ÐµÐ¼ ÑÑÐµÐ±ÑÐµÐ¼Ð¾Ð³Ð¾ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ð° ÑÐ°ÑÑÐ¾Ð´Ð½ÑÑ ÑÐ°ÑÐ°ÐºÑÐµÑÐ¸ÑÑÐ¸Ðº; 3. ÐÑÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ° Ð²Ð¸Ð·ÑÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÑÑÑÐºÑÑÑÑ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¸Ð·Ð¾Ð³Ð½ÑÑÐ¾Ð¹ ÑÑÑÐ±ÐºÐµ Ð°Ð»ÑÐ¼Ð¸Ð½Ð¸ÐµÐ²Ð¾Ð¹ Ð¿ÑÐ´ÑÐ¾Ð¹; 4. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¾ ÑÑÐµÑÐ¼ÐµÑÐ½Ð¾Ðµ Ð¿Ð¾Ð»Ðµ ÑÐºÐ¾ÑÐ¾ÑÑÐ¸ Ð² ÑÑÑÐ±ÐºÐµ Ñ Ð½ÐµÐ³Ð»Ð°Ð´ÐºÐ¸Ð¼ Ð²ÑÐ¾Ð´Ð¾Ð¼, Ð²ÐºÐ»ÑÑÐ°Ñ ÑÐ²Ð»ÐµÐ½Ð¸Ñ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾-ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾Ð³Ð¾ Ð¿ÐµÑÐµÑÐ¾Ð´Ð°. Ð£ÑÑÐ°Ð½Ð¾Ð²Ð»ÐµÐ½Ð¾, ÑÑÐ¾ ÑÐµÑÐµÐ½Ð¸Ðµ ÑÐ²Ð»ÑÐµÑÑÑ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½ÑÐ¼ Ð¿ÑÐ¸ â¤ 500 Ð¸ ÑÑÐ°Ð½Ð¾Ð²Ð¸ÑÑÑ ÑÐ°Ð·Ð²Ð¸ÑÑÐ¼ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½ÑÐ¼ Ð¿ÑÐ¸ â¥ 2000.
description: The work is devoted to the study of laminar, transient and turbulent flow in a curved tube with a non-smooth inlet in the form of a sudden constriction. The study was carried out for a curved tube with radius of curvature = / â 1/12 and sudden constriction / = 2.5. Two variants of the tube inlet edge location were considered: flush with the plane of the sudden constriction and protruding one caliber from the sudden constriction. Tasks solved in the course of the research: 1. Calculated the parameters of the experimental rig for visualization of flow in a curved tube under non-smooth inlet conditions; 2. The experimental rig was assembled, with setting the required range of flow characteristics; 3. The technique of visualization of the flow structure in a curved tube with aluminum powder was worked out; 4. The three-dimensional velocity field in a tube with a non-smooth inlet, including the phenomena of laminar-turbulent transition, was investigated. It is found that the flow is laminar at â¤ 500 and becomes developed turbulent at â¥ 2000.