title: Ð£ÑÑÐ°Ð½Ð¾Ð²Ð¸Ð²ÑÐµÐµÑÑ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½ Ð² Ð²Ð¸ÑÑÑ ÑÑÑÐ±Ð°Ñ Ð¿ÑÑÐ¼Ð¾ÑÐ³Ð¾Ð»ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸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: Fully-developed Laminar Flow and Heat Transfer in Twisted Rectangular Tubes
Creators: name: ÐÐµÑÑÐ¾Ð², ÐÐ»ÐµÐºÑÐ°Ð½Ð´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Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½
Ð²Ð¸ÑÐ°Ñ ÑÑÑÐ±Ð°
numerical simulation
laminar flow
heat transfer
twisted tube

description: ÐÐ°ÑÑÐ¾ÑÑÐ°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð¼Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ°Ð·Ð²Ð¸ÑÐ¾Ð³Ð¾ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½Ð° Ð² Ð²Ð¸ÑÐ¾Ð¼ ÐºÐ°Ð½Ð°Ð»Ðµ ÐºÐ²Ð°Ð´ÑÐ°ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð¿ÑÐ¸ ÑÐµÐ¿Ð»Ð¾Ð²ÑÑ Ð³ÑÐ°Ð½Ð¸ÑÐ½ÑÑ ÑÑÐ»Ð¾Ð²Ð¸ÑÑ Ð¿ÐµÑÐ²Ð¾Ð³Ð¾ ÑÐ¾Ð´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: â¢ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°ÑÑ ÑÑÐ²ÑÑÐ²Ð¸ÑÐµÐ»ÑÐ½Ð¾ÑÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ðº ÑÐ°Ð·Ð¼ÐµÑÐ½Ð¾ÑÑÐ¸ ÑÐµÑÐºÐ¸ Ð¸ Ð¿ÑÐ¾ÑÑÐ¶ÐµÐ½Ð½Ð¾ÑÑÐ¸ ÑÐ°ÑÑÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸; â¢ ÑÐ¾Ð¿Ð¾ÑÑÐ°Ð²Ð¸ÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð² Ð¿ÑÑÐ¼Ð¾Ð¼ ÐºÐ°Ð½Ð°Ð»Ðµ Ñ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¸Ð¼ ÑÐµÑÐµÐ½Ð¸ÐµÐ¼; â¢ Ð¾ÑÐµÐ½Ð¸ÑÑ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ ÑÐ¸ÑÐ»Ð° Ð ÐµÐ¹Ð½Ð¾Ð»ÑÐ´ÑÐ° Ð¸ ÑÐ°Ð³Ð° Ð·Ð°ÐºÑÑÑÐºÐ¸ Ð²Ð¸ÑÐ¾Ð¹ ÑÑÑÐ±Ñ Ð½Ð° ÑÐµÑÐµÐ½Ð¸Ðµ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½ Ð² Ð²Ð¸ÑÐ¾Ð¼ ÐºÐ°Ð½Ð°Ð»Ðµ; â¢ Ð¾Ð¿ÑÐµÐ´ÐµÐ»Ð¸ÑÑ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ ÑÐ¸ÑÐ»Ð° ÐÑÐ°Ð½Ð´ÑÐ»Ñ Ð½Ð° ÑÐ¸ÑÐ»Ð¾ ÐÑÑÑÐµÐ»ÑÑÐ°. Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½Ð° Ð² Ð²Ð¸ÑÑÑ ÐºÐ°Ð½Ð°Ð»Ð°Ñ Ð²ÑÐ¿Ð¾Ð»Ð½ÑÐ»Ð¾ÑÑ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÐºÐ¾Ð¼Ð¼ÐµÑÑÐµÑÐºÐ¾Ð³Ð¾ Ð¿Ð°ÐºÐµÑÐ° ANSYS FLUENT 24.1. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐ°ÑÑÐµÑÑ Ð´Ð»Ñ ÑÐ¸ÑÐµÐ» Ð ÐµÐ¹Ð½Ð¾Ð»ÑÐ´ÑÐ° Ð¾Ñ 10 Ð´Ð¾ 1000. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐ°Ð³Ð° Ð·Ð°ÐºÑÑÑÐºÐ¸ Ð½Ð° ÑÐµÑÐµÐ½Ð¸Ðµ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½.Â  ÐÐ½ÑÐµÐ½ÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½Ð° Ð² Ð²Ð¸ÑÑÑ ÑÑÑÐ±Ð°Ñ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð° Ð² Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ðµ ÑÐ¸ÑÐµÐ» ÐÑÐ°Ð½Ð´ÑÐ»Ñ Ð¾Ñ 0,74 Ð´Ð¾ 20. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¾, ÑÑÐ¾ Ð¿ÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ð¸ Ð² Ð²Ð¸ÑÐ¾Ð¼ ÐºÐ°Ð½Ð°Ð»Ðµ Ñ ÑÐ¾ÑÑÐ¾Ð¼ ÑÐ¸ÑÐ»Ð° Ð ÐµÐ¹Ð½Ð¾Ð»ÑÐ´ÑÐ° Ð²Ð¾Ð·ÑÐ°ÑÑÐ°ÐµÑ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½Ñ ÑÐ¾Ð¿ÑÐ¾ÑÐ¸Ð²Ð»ÐµÐ½Ð¸Ñ, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¿ÑÐ¾Ð¸ÑÑÐ¾Ð´Ð¸Ñ Ð¸Ð½ÑÐµÐ½ÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½Ð°. ÐÐ»Ñ Ð¶Ð¸Ð´ÐºÐ¾ÑÑÐµÐ¹ Ñ Pr = 0.74 ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð¸Ðµ ÑÐ°Ð³Ð° Ð·Ð°ÐºÑÑÑÐºÐ¸ Ð¿ÑÐ¸Ð²Ð¾Ð´Ð¸Ñ Ðº ÑÑÑÐ´ÑÐµÐ½Ð¸Ñ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½Ð°. ÐÑÐ¸ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ð¸ ÑÐ¸ÑÐ»Ð° ÐÑÐ°Ð½Ð´ÑÐ»Ñ ÑÐ¸ÑÐ»Ð¾ ÐÑÑÑÐµÐ»ÑÑÐ° ÑÐ°ÑÑÐµÑ, Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ Ð´Ð»Ñ ÑÐ¸Ð»ÑÐ½Ð¾ Ð·Ð°ÐºÑÑÑÐµÐ½Ð½ÑÑ ÐºÐ°Ð½Ð°Ð»Ð¾Ð².
description: This work is dedicated to the numerical study of fully-developed laminar flow and heat transfer in a twisted square cross-section channel at constant wall temperature. The tasks addressed in the course of the research are: â¢ analyze the sensitivity of the results to the grid size and the extent of the computational domain; â¢ compare the results obtained for flow in a straight channel with the analytical solution; â¢ assess the influence of the Reynolds number and the twist pitch on the flow and heat transfer in a twisted channel; â¢ determine the influence of Prandtl number on Nusselt number on flow and heat transfer characteristics. The numerical simulation of flow and heat transfer in twisted channels was carried out using the commercial software package ANSYS FLUENT 24.1. Calculations were conducted for Reynolds numbers ranging from 10 to 1000. A parametric study was performed to investigate the influence of the twist ratio on flow and heat transfer. The intensification of heat transfer in twisted tubes was investigated over the range of Prandtl numbers from 0.74 to 20. It was found that with the Reynolds number increase, the friction factor in a twisted channel also increases and the intensification of heat transfer takes place. For fluids with Pr = 0.74, decreasing of the twist ratio results in deterioration of heat transfer. With an increase of Prandtl number, Nusselt number grows, especially for highly twisted channels.