title: Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½Ð° Ð² Ð³Ð»Ð°Ð´ÐºÐ¾ÑÑÑÐ±Ð½Ð¾Ð¼ Ð¿ÑÑÐºÐµ Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½Ð¾Ð¹ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸Ð¸ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð¾Ð³ÑÐ°Ð¶Ð´ÐµÐ½Ð¸Ñ
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 simulation on flow and heat transfer in staggered tube banks with various configuration of barrier elements
Creators: name: ÐÐ¾Ð´Ð¼Ð°ÑÐºÐ¾Ð²Ð°, ÐÐ½Ð½Ð°
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: 2020
Subjects: Ð¿ÑÑÐ¼Ð¾Ðµ ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
ÐµÑÑÐµÑÑÐ²ÐµÐ½Ð½Ð°Ñ ÐºÐ¾Ð½Ð²ÐµÐºÑÐ¸Ñ
Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ
ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½Ð½ÑÐµ Ð°Ð¿Ð¿Ð°ÑÐ°ÑÑ
Ð³Ð»ÑÐ±Ð¾ÐºÐ¾Ð²Ð¾Ð´Ð½Ð°Ñ Ð´Ð¾Ð±ÑÑÐ° Ð³Ð°Ð·Ð°
direct numerical simulation
natural convection
unsteady flow
heat exchanger
gas subsea production

description: Ð¢ÐµÐ¼Ð° Ð²ÑÐ¿ÑÑÐºÐ½Ð¾Ð¹ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ: Â«Ð§Ð¸ÑÐ»ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÐµÐ½Ð¸Ñ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½Ð° Ð² Ð³Ð»Ð°Ð´ÐºÐ¾ÑÑÑÐ±Ð½Ð¾Ð¼ Ð¿ÑÑÐºÐµ Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½Ð¾Ð¹ ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸Ð¸ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ¾Ð² Ð¾Ð³ÑÐ°Ð¶Ð´ÐµÐ½Ð¸ÑÂ».
Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð½Ð° ÑÐµÑÐµÐ½Ð¸Ðµ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½ Ð·Ð°Ð³ÑÐ¾Ð¼Ð¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²Ð° Ð²Ð±Ð»Ð¸Ð·Ð¸ ÑÑÑÐ±Ð½Ð¾Ð³Ð¾ Ð¿ÑÑÐºÐ°. 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Ð·ÑÑÐµÐ½Ð¸Ðµ ÑÑÑÑÐºÑÑÑÑ ÑÐµÑÐµÐ½Ð¸Ñ Ð²Ð½ÑÑÑÐ¸ ÑÐ°ÑÐ¼Ð°ÑÐ½Ð¾Ð³Ð¾ Ð³Ð»Ð°Ð´ÐºÐ¾ÑÑÑÐ±Ð½Ð¾Ð³Ð¾ Ð¿ÑÑÐºÐ°.
2. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¾Ð³ÑÐ°Ð¶Ð´Ð°ÑÑÐ¸Ñ ÑÑÐµÐ½Ð¾Ðº Ð½Ð° ÑÐµÑÐµÐ½Ð¸Ðµ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½.
3. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð½Ð° ÑÐµÑÐµÐ½Ð¸Ðµ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¾ÑÐ´Ð°ÑÑ ÑÐ°ÑÑÑÐ¾ÑÐ½Ð¸Ñ Ð¾Ñ ÑÑÑÐ±Ð½Ð¾Ð³Ð¾ Ð¿ÑÑÐºÐ° Ð´Ð¾ Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐ¸ Ð´Ð½Ð°.
4. ÐÐ·ÑÑÐµÐ½Ð¸Ðµ Ð²Ð¾Ð¿ÑÐ¾ÑÐ° Ð¾ Ð²Ð»Ð¸ÑÐ½Ð¸Ð¸ Ð·Ð°Ð³ÑÐ¾Ð¼Ð¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²Ð° Ð²Ð±Ð»Ð¸Ð·Ð¸ Ð¿ÑÑÐºÐ° Ñ ÐºÐ¾Ð½ÐµÑÐ½ÑÐ¼ ÑÐ¸ÑÐ»Ð¾Ð¼ Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½ÑÑ ÑÑÐ´Ð¾Ð² Ð² ÑÐ¾Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¸ Ñ Ð¿ÐµÑÐ¸Ð¾Ð´Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð¿Ð¾ÑÑÐ°Ð½Ð¾Ð²ÐºÐ¾Ð¹ Ð·Ð°Ð´Ð°ÑÐ¸.
Ð Ð°ÑÑÐµÑÑ Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ Ð² Ð²ÑÑÑÐµÐ¹ ÑÐºÐ¾Ð»Ðµ Ð¿ÑÐ¸ÐºÐ»Ð°Ð´Ð½Ð¾Ð¹ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÐºÐ¸ Ð¸ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ¸Ð·Ð¸ÐºÐ¸ Ð¡ÐÐ±ÐÐ£ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐµÑÑÑÑÐ¾Ð² Ð¡ÐÐ¦ Â«ÐÐ¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹Â». ÐÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»ÑÑ ÐºÐ¾Ð¼Ð¼ÐµÑÑÐµÑÐºÐ¸Ð¹ ÐºÐ¾Ð´ ANSYS Fluent Ð²ÐµÑÑÐ¸Ð¸ 19.2. ÐÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½Ð¾Ðµ ÑÐµÑÐµÐ½Ð¸Ðµ Ð²Ð¾Ð´Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð»Ð¾ÑÑ Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ ÑÐµÑÐµÐ½Ð¸Ñ Ð¿Ð¾Ð»Ð½ÑÑ Ð½ÐµÑÑÐ°ÑÐ¸Ð¾Ð½Ð°ÑÐ½ÑÑ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¹ ÐÐ°Ð²ÑÐµ-Ð¡ÑÐ¾ÐºÑÐ° Ð±ÐµÐ· Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÑÑÐ±ÑÐ»ÐµÐ½ÑÐ½Ð¾ÑÑÐ¸. 
ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð´Ð»Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸Ð¸ Ð¿Ð¾ÐºÐ°Ð·Ð°Ð»Ð¸, ÐºÐ°ÐºÐ¸Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð¼ Ð²Ð»Ð¸ÑÐµÑ Ð·Ð°Ð³ÑÐ¾Ð¼Ð¾Ð¶Ð´ÐµÐ½Ð¸Ðµ Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²Ð° Ð²Ð±Ð»Ð¸Ð·Ð¸ ÑÑÑÐ±Ð½Ð¾Ð³Ð¾ Ð¿ÑÑÐºÐ°, ÑÐ¾ÑÑÐ¾ÑÑÐµÐ³Ð¾ Ð¸Ð· ÑÐµÑÑÐ¸ Ð²ÐµÑÑÐ¸ÐºÐ°Ð»ÑÐ½ÑÑ ÑÑÐ´Ð¾Ð². ÐÑÐ»Ð¸ Ð¸Ð·ÑÑÐµÐ½Ñ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ñ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð¾Ð±Ð¼ÐµÐ½Ð° Ð´Ð»Ñ ÑÐµÑÑÑÐµÑ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² ÐºÐ¾Ð½ÑÐ¸Ð³ÑÑÐ°ÑÐ¸Ð¸ Ð¾Ð³ÑÐ°Ð¶Ð´Ð°ÑÑÐ¸Ñ ÑÑÐµÐ½Ð¾Ðº Ð¸ ÑÐµÑÑÑÐµÑ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² ÑÐ´Ð°Ð»ÐµÐ½Ð¸Ñ ÑÑÑÐ±Ð½Ð¾Ð³Ð¾ Ð¿ÑÑÐºÐ° Ð¾Ñ Ð½Ð¸Ð¶Ð½ÐµÐ¹ Ð¾Ð³ÑÐ°Ð¶Ð´Ð°ÑÑÐµÐ¹ Ð¿Ð¾Ð²ÐµÑÑÐ½Ð¾ÑÑÐ¸.
description: The subject of the graduate qualification work is âNumerical simulation on flow and heat transfer in staggered tube banks with various configuration of barrier elementsâ.
The study is devoted to investigation of the influence of the blockage of the space near the tube bank on flow and heat transfer. The goal of the research are as follows:
1. The studying of the flow structure inside the staggered tube bank.
2. The studying of the influence of enclosure walls on flow and heat transfer.
3. The studying of the influence of the distance from the tube bank to the bottom surface on flow and heat transfer.
4. The studying of the influence of the blockage of the space near the tube bank with finite number of vertical rows in comparison with the periodic problem statement.
The work was fulfilled at Higher School of Applied Mathematics and Computational Physics of SPbPU using the resources of Supercomputer Center âPolytechnicâ. The analysis was conducted with the use of commercial software ANSYS Fluent 19.2. The buoyancy-induced water flow was simulated based on the unsteady formulation using the full Navier-Stokes equations without turbulence model. 
The calculation was made for different variants of geometry and showed how blockage of the space near the tube bank consisting of six vertical rows affects flow and heat transfer. The flow and heat transfer characteristics were studied for four different arrangements of the enclosing walls and four different values of the distance from the tube bank to the bottom surface.