title: Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ð¹ ÑÐ²Ð¾Ð±Ð¾Ð´Ð½Ð¾Ð¹ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð¸ Ð¾ÐºÐ¾Ð»Ð¾ Ð³Ð¾ÑÐ¸Ð·Ð¾Ð½ÑÐ°Ð»ÑÐ½ÑÑ Ð¾ÑÐµÐ±ÑÐµÐ½Ð½ÑÑ ÑÑÑÐ±
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: Numerical modeling of laminar free convection around horizontal finned tubes
Creators: name: ÐÐ³ÐµÐµÐ², ÐÐ°Ð½Ð¸Ð¸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: 2024
Subjects: ÑÐ²Ð¾Ð±Ð¾Ð´Ð½Ð°Ñ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ñ
ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½
Ð¾Ð´Ð¸Ð½Ð¾ÑÐ½ÑÐµ Ð¾ÑÐµÐ±ÑÐµÐ½Ð½ÑÐµ ÑÑÑÐ±Ñ
ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
free convection
heat transfer
single finned tubes
numerical modeling

description: Ð ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸ÑÑÑ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð»Ð°Ð¼Ð¸Ð½Ð°ÑÐ½Ð¾Ð³Ð¾ ÑÐ²Ð¾Ð±Ð¾Ð´Ð½Ð¾ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ Ð²Ð¾Ð·Ð´ÑÑÐ° Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½Ð° Ð¾ÐºÐ¾Ð»Ð¾ Ð³Ð¾ÑÐ¸Ð·Ð¾Ð½ÑÐ°Ð»ÑÐ½ÑÑ Ð¾ÑÐµÐ±ÑÐµÐ½Ð½ÑÑ ÑÑÑÐ± Ð¿ÑÐ¸ Ð·Ð½Ð°ÑÐµÐ½Ð¸ÑÑ ÑÐ¸ÑÐ»Ð° ÐÑÐ°ÑÐ³Ð¾ÑÐ° Ð¾Ñ 0.49â10^5 Ð´Ð¾ 5.24â10^5. ÐÐ¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¾ÑÑÑÐµÑÑÐ²Ð»ÑÐµÑÑÑ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐµÑÐµÐ½Ð¸Ñ ÑÐ¸ÑÑÐµÐ¼Ñ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ ÐÐ°Ð²ÑÐµ-Ð¡ÑÐ¾ÐºÑÐ° Ð¸ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ ÑÐ½ÐµÑÐ³Ð¸Ð¸. ÐÐ°Ð´Ð°ÑÐ° ÑÐµÑÐ°Ð»Ð°ÑÑ Ð² ÑÐ¾Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐµ: Ð´Ð»Ñ ÑÐ°ÑÑÐµÑÐ° Ð¿Ð¾Ð»Ñ ÑÐµÐ¼Ð¿ÐµÑÐ°ÑÑÑÑ Ð² Ð°Ð»ÑÐ¼Ð¸Ð½Ð¸ÐµÐ²Ð¾Ð¼ ÑÐµÐ±ÑÐµ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð¾ÑÑ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ¿Ð»Ð¾Ð¿ÑÐ¾Ð²Ð¾Ð´Ð½Ð¾ÑÑÐ¸. Ð Ð°ÑÑÐµÑÑ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ñ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¼ Ð¿Ð°ÐºÐµÑÐµ ANSYS Fluent. ÐÐ»Ñ Ð²ÑÐµÑ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² ÑÐ°ÑÑÐµÑÐ° Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¾ ÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ðµ ÑÐ¾ÑÐµÐ´ÑÐµÐµÑÑ ÑÐµÑÐµÐ½Ð¸Ðµ. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ ÑÑÐ²ÑÑÐ²Ð¸ÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ñ Ðº Ð¸Ð·Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ ÑÐ°Ð·Ð¼ÐµÑÐ½Ð¾ÑÑÐ¸ ÑÐ°ÑÑÐµÑÐ½Ð¾Ð¹ ÑÐµÑÐºÐ¸, Ð° ÑÐ°ÐºÐ¶Ðµ ÑÐ°ÑÑÑÐ¾ÑÐ½Ð¸Ñ Ð´Ð¾ Ð±Ð¾ÐºÐ¾Ð²Ð¾Ð¹ Ð³ÑÐ°Ð½Ð¸ÑÑ ÑÐ°ÑÑÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸. ÐÐ»Ñ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ° Ð·Ð°Ð´Ð°ÑÐ¸ Ñ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð¼ Ð¾ÑÐµÐ±ÑÐµÐ½Ð¸Ñ ÑÐ°Ð²Ð½ÑÐ¼ Ï = 21 Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð² ÑÐ°ÑÑÐµÑÐ°Ñ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ ÑÐµÐ¿Ð»Ð¾Ð¾ÑÐ´Ð°ÑÐ¸ ÑÐ¾ÑÐ¾ÑÐ¾ ÑÐ¾Ð³Ð»Ð°ÑÑÑÑÑÑ Ñ Ð¸Ð¼ÐµÑÑÐ¸Ð¼Ð¸ÑÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÐ¼Ð¸ Ð´Ð°Ð½Ð½ÑÐ¼Ð¸ ÐÐ°ÑÑÐ°Ð»Ð¾Ð²Ð¾Ð¹ Ð.Ð¡. 2019 Ð³Ð¾Ð´Ð° Ð² ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð½Ð¾Ð¼ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ðµ ÑÐ¸ÑÐµÐ» ÐÑÐ°ÑÐ³Ð¾ÑÐ°. 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°ÑÑÑÐ¾ÑÐ½Ð¸Ñ Ð¼ÐµÐ¶Ð´Ñ ÑÐµÐ±ÑÐ°Ð¼Ð¸, ÑÐµÐ»ÑÑ ÐºÐ¾ÑÐ¾ÑÐ¾Ð³Ð¾ ÑÐ²Ð»ÑÐµÑÑÑ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ðµ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½Ð°. Ð¡ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸ÐµÐ¼ Ð¼ÐµÐ¶ÑÐµÐ±ÐµÑÐ½Ð¾Ð³Ð¾ ÑÐ°ÑÑÑÐ¾ÑÐ½Ð¸Ñ (Ð·Ð½Ð°ÑÐµÐ½Ð¸Ñ Ï Ð¿ÑÐ¸ ÑÑÐ¾Ð¼ Ð¸Ð·Ð¼ÐµÐ½ÑÑÑÑÑ Ð¾Ñ 21 Ð´Ð¾ 4.3) ÑÐºÐ¾ÑÐ¾ÑÑÑ Ð¿Ð¾ÑÐ¾ÐºÐ° ÑÑÑÐµÑÑÐ²ÐµÐ½Ð½Ð¾ Ð²Ð¾Ð·ÑÐ°ÑÑÐ°ÐµÑ, Ð¿ÑÐ¸ ÑÑÐ¾Ð¼ ÑÐ²ÐµÐ»Ð¸ÑÐ¸Ð²Ð°ÐµÑÑÑ ÑÐµÐ¿Ð»Ð¾Ð¾ÑÐ´Ð°ÑÐ° Ð¾Ñ Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐ¸ ÑÐµÐ±ÑÐ° Ð¸ Ð½ÐµÑÑÑÐµÐ¹ ÑÑÑÐ±Ñ. ÐÐ¾ Ð´Ð°Ð½Ð½ÑÐ¼ ÑÐ°ÑÑÐµÑÐ° Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¾ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ðµ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ðµ Ð¼ÐµÐ¶ÑÐµÐ±ÐµÑÐ½Ð¾Ð³Ð¾ ÑÐ°ÑÑÑÐ¾ÑÐ½Ð¸Ñ (Ï = 9), Ð¿ÑÐ¸ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¼ Ð²ÐµÐ»Ð¸ÑÐ¸Ð½Ð° ÑÐµÐ¿Ð»Ð¾Ð¾ÑÐ´Ð°ÑÐ¸ Ð½Ð° ÐµÐ´Ð¸Ð½Ð¸ÑÑ Ð´Ð»Ð¸Ð½Ñ Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð°. ÐÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ ÑÐ¾ÑÐ¼Ñ ÑÐµÐ±ÑÐ° Ð½Ð° ÑÐµÑÐµÐ½Ð¸Ðµ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½. ÐÐ·Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ ÑÐ¾ÑÐ¼Ñ ÑÐµÐ±ÑÐ° Ð¾Ñ ÐºÑÑÐ³Ð¾Ð²Ð¾Ð¹ Ð´Ð¾ ÑÐ»Ð»Ð¸Ð¿ÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ ÑÐ²ÐµÐ»Ð¸ÑÐ¸ÑÑ Ð¿Ð»Ð¾ÑÐ°Ð´Ñ ÑÐµÐ±ÑÐ°, ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ Ð¾ÑÐ´Ð°ÑÑÑÑ ÑÐµÐ¿Ð»Ð¾. ÐÐ¾Ð»ÑÑÐµÐ½Ð¾, ÑÑÐ¾ Ð´Ð»Ñ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² Ñ Ð¼Ð¸Ð½Ð¸Ð¼Ð°Ð»ÑÐ½ÑÐ¼ Ð¼ÐµÐ¶ÑÐµÐ±ÐµÑÐ½ÑÐ¼ ÑÐ°ÑÑÑÐ¾ÑÐ½Ð¸ÐµÐ¼ (Ð¼Ð°ÐºÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÐ¼ ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÐ¾Ð¼ Ð¾ÑÐµÐ±ÑÐµÐ½Ð¸Ñ) Ñ ÑÐ¼ÐµÐ½ÑÑÐµÐ½Ð¸ÐµÐ¼ Ð²ÑÑÐ¾ÑÑ ÑÐµÐ±ÑÐ° ÑÐµÐ¿Ð»Ð¾Ð¾ÑÐ´Ð°ÑÐ° ÑÐ²ÐµÐ»Ð¸ÑÐ¸Ð²Ð°ÐµÑÑÑ Ð½Ð° 25%, Ð° Ð´Ð»Ñ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² Ñ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½ÑÐ¼ â Ð½Ð° 18%.
description: The work involves a numerical study of laminar free convective air flow and heat transfer around horizontal finned tubes at Grashof numbers ranging from 0.49â10^5 to 5.24â10^5. The modeling is based on solving the Navier-Stokes equations and the energy equation. The problem was solved in a conjugate formulation: the heat conduction equation was used to calculate the temperature field in the aluminum fin. The calculations were performed using the ANSYS Fluent CFD Package. Steady-state converged solutions were obtained for all calculations. A sensitivity study of the solution to changes in the computational grid size and the distance to the lateral boundary of the computational domain was conducted. For the case with a finning factor Ï = 21, the calculated Nu number values agree well with the available experimental data of G.S. Marshalova (2019) in the considered range of Grashof numbers. A parametric study of the influence of the distance between fins was conducted, aiming to increase heat transfer efficiency. For Ï ranges from 21 to 4.3 the velocity values significantly increases inside the interfinned space that results to an increase in heat transfer from finned tube. The optimal fin spacing (Ï = 9) was determined based on the calculations, where the heat transfer per unit length is maximal. A study of the influence of fin shape on flow structure and heat transfer was performed. Changing the fin shape from circular to elliptical increases the effective heat-dissipating area of the fin. It was found that for cases with minimal fin spacing (maximum finning factor), reducing the fin height increases Nu number values by 25%, and for optimal fin spacing cases, by 18%.