Journal of Textile Research ›› 2022, Vol. 43 ›› Issue (11): 154-162.doi: 10.13475/j.fzxb.20210911309

• Apparel Engineering • Previous Articles     Next Articles

Finite element simulation of heat transfer through down coat panel

WU Jiayue1, WU Qiaoying2()   

  1. 1. Fashion College, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, China
    2. College of International Education, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, China
  • Received:2021-09-29 Revised:2022-07-27 Online:2022-11-15 Published:2022-12-26
  • Contact: WU Qiaoying E-mail:bettywu2000@126.com

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Abstract:

A numerical simulation method was proposed to address the shortcomings associated to the existing down product warmth test, such as long testing time and high cost. ANSYS finite element software was used to establish a three-dimensional geometric model of "down-fabric-skin". The temperature distribution characteristics of the internal and external surfaces of the model with different fabrics, different filling densities and different number of quilts were simulated and analyzed, the influence of different conditions on the heat transfer along the thickness and width directions were studied and its clo values calculated, and experimental validation was carried out. The results show that the heat transfer distance along the thickness direction of the model increases with the increase of down filling density, and the temperature and heat flow density of the outer surface decreased. The heat transfer along the thickness direction of the model increased with the increase of the number of quilting, and the heat transfer distance along the width direction of the model decreased, and the temperature and heat flow density of the outer surface gradually increased. The influence of fabric on the warmth of down products was small, and the maximum relative error between simulated and experimental clo values is 4.79%, indicating good agreement between the two.

Key words: finite element simulation, down product, warmth retention, heat transfer

CLC Number: 

  • TS941.17

Fig.1

Steady state heat transfer process"

Fig.2

Simplified model of "down-fabric-skin" tissue after quilting. (a) "Down-fabric-skin" combination; (b) Cross-section of "down-fabric-skin" combination"

Fig.3

Down experimental bags with different quilting numbers"

Fig.4

Geometric model of down-fabric-skin (take 2 quilting lines as an example)"

Fig.5

Schematic diagram of cross-sectional geometry of an elliptic cylinder(take 2 quilting lines as an example)"

Tab.1

Sample data"

试样
编号		 织物名称 织物
厚度c/
mm		 填充
密度/
(g·m-2)		 绗缝
数量/
条		 绗缝一
侧宽度b/
mm		 半径r/
mm
1# 全弹春亚纺 0.16 60 1 296 454.67
2# 尼丝纺 0.14 60 1 296 454.67
3# 四面弹 0.37 60 1 296 454.67
4# 桃皮绒 0.31 60 1 296 454.67

Tab.2

Sample data"

试样
编号		 填充密度/
(g·m-2)		 绗缝数量/
条		 绗缝一侧宽度b/
mm		 半径r/mm 试样
编号		 填充密度/
(g·m-2)		 绗缝数量/
条		 绗缝一侧宽
度b/mm		 半径r/mm
1 60 1 296 454.67 9 100 1 291 299.25
2 60 2 289 179.52 10 100 2 278 123.26
3 60 3 283 106.60 11 100 3 272 80.60
4 60 4 275 68.81 12 100 4 263 54.67
5 80 1 293 341.08 13 120 1 289 269.28
6 80 2 283 142.13 14 120 2 273 109.74
7 80 3 276 88.03 15 120 3 268 74.54
8 80 4 267 58.56 16 120 4 256 49.10

Tab.3

Fabric parameters"

材料名称 厚度/mm z轴方向导热系数/(W·m-1·K-1)
全弹春亚纺 0.16 0.019
尼丝纺 0.14 0.020
四面弹 0.37 0.056
桃皮绒 0.31 0.027

Fig.6

Part of the grid mode"

Fig.7

Temperature distribution diagram of down experimental bags of different fabrics.(a) Nylon spinning;(b) Four-sided bomb"

Fig.8

Temperature distribution of down experimental bags with different filling densities. (a) Filling density is 60 g/m2;(b) Filling density is 120 g/m2"

Fig.9

Temperature distribution diagram of down experimental bags with different quilting numbers. (a) 1 quilting ;(b) 4 quilting"

Tab.4

Model simulation heat flux value"

填充
密度/
(g·m-2)		 绗缝
数量/
条		 热流
密度/
(W·m-2)		 填充
密度/
(g·m-2)		 绗缝
数量/
条		 热流
密度/
(W·m-2)
60 1 17.707 60 3 24.020
80 1 16.077 80 3 22.394
100 1 13.992 100 3 20.086
120 1 13.027 120 3 19.582
60 2 22.484 60 4 30.752
80 2 19.920 80 4 23.017
100 2 16.570 100 4 21.690
120 2 15.520 120 4 21.019

Tab.5

Summary of multiple linear regression models of heat flux density"

模型 R R2 调整后R2 标准误差
1 0.958 0.917 0.904 1.368 432

Tab.6

Heat flux regression coefficient table"

模型 未标准化系数 标准化系数 t 显著性
B 标准误差 Beta
1 (常量) 22.186 1.612 13.764 0.000
填充密度 -0.108 0.015 -0.564 -7.068 0.000
绗缝数量 2.965 0.306 0.774 9.691 0.000

Fig.10

Heat flux distribution diagram of down experimental bags with different filling densities and quilting numbers. (a) 60 g/m2, 1 quilting ;(b) 120 g/m2, 1 quilting;(c) 60 g/m2, 4 quilting"

Tab.7

Comparison of finite element simulation results and experimental results(the first group)"

试样
编号		 织物 填充密度/
(g·m-2)		 绗缝数量/
条		 模拟温差/
℃		 模拟热流密度/
(W·m-2)		 保暖性模拟值/
clo		 保暖性测试
值/clo		 相对误差/
%
1# 全弹春亚纺 60 1 5.787 17.707 2.11 2.06 2.43
2# 尼丝纺 60 1 5.863 18.648 2.03 2.01 1.00
3# 四面弹 60 1 5.807 20.954 1.79 1.88 -4.79
4# 桃皮绒 60 1 5.631 17.907 2.03 2.05 -0.98

Tab.8

Comparison of finite element simulation results and experimental results(the second group)"

试样
编号		 填充密度/
(g·m2)		 绗缝数量/
条		 模拟温差/
℃		 模拟热流密度/
(W·m-2)		 保暖性模拟值/
clo		 保暖性测试值/
clo		 相对误差/
%
1 60 1 5.787 17.707 2.11 2.06 2.43
2 60 2 6.760 22.484 1.95 1.96 -0.51
3 60 3 6.686 24.020 1.80 1.76 2.27
4 60 4 7.319 30.752 1.54 1.56 -1.28
5 80 1 6.639 16.077 2.66 2.63 1.14
6 80 2 7.309 19.920 2.37 2.45 -3.27
7 80 3 8.077 22.394 2.33 2.27 2.64
8 80 4 7.501 23.017 2.10 2.09 0.48
9 100 1 6.339 13.992 2.92 2.90 0.69
10 100 2 6.693 16.570 2.61 2.65 -1.51
11 100 3 7.412 20.086 2.38 2.38 0.03
12 100 4 7.594 21.690 2.26 2.26 -0.05
13 120 1 6.823 13.027 3.11 3.06 1.63
14 120 2 6.720 15.520 2.79 2.78 0.36
15 120 3 8.144 19.582 2.68 2.66 0.75
16 120 4 7.938 21.019 2.43 2.48 -2.02
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