新型开缝翅片管壳侧传热与阻力特性

丁天翔; 彭浩; 马杰

doi:10.13224/j.cnki.jasp.20230076

新型开缝翅片管壳侧传热与阻力特性

doi: 10.13224/j.cnki.jasp.20230076

南京工业大学机械与动力工程学院，南京 210009

基金项目: 国家自然科学基金（51776095）

详细信息

作者简介:
丁天翔（1998-），男，硕士，主要从事强化传热研究

通讯作者:
彭浩（1981-），男，教授、博士生导师，博士，主要从事传热传质设备研究。E-mail：phsight1@hotmail.com

中图分类号: V231
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出版历程
- 收稿日期: 2023-02-14
- 网络出版日期: 2024-03-14

Heat transfer and resistance characteristics of shell side of novel finned tube with slot

School of Mechanical and Power Engineering，Nanjing Tech University，Nanjing 210009，China

摘要

摘要:
设计了一种新型开缝翅片，通过实验与数值模拟研究新型开缝翅片的流动传热特性，分析翅片间距与相对开缝高度对新型开缝翅片的传热与阻力特性影响规律，并采用幂函数多元非线性拟合获得相关的流动传热关联式。研究表明：新型翅片管相较于平直翅片管壳侧综合传热性能提升了1.46～1.64倍。在雷诺数Re=9500、相对开缝高度为0.5时，翅片间距从1.6 mm减小到1.0 mm，空气侧努塞尔数Nu增加了19.44%，空气侧阻力系数f增加了39.54%，综合传热性能增强了6.88%；在雷诺数Re=9500、翅片间距为1.2 mm时，相对开缝高度从0.4增大到0.7，空气侧Nu增加了11.55%，空气侧f增加了4.74%，综合传热性能增强了9.84%。最后提出了平均偏差在10%以内的努塞尔数Nu和阻力系数f的计算关联式。
- 翅片管 /
- 开缝翅片 /
- 综合传热性能 /
- 阻力系数 /
- 无量纲关联式
Abstract:
A novel type of slotted fin was designed. The flow and heat transfer characteristics of the novel slotted fin were studied by experiment and numerical simulation. The influences of fin pitch and relative slotted height on the heat transfer and resistance characteristics of the novel slotted fin were analyzed. The relevant flow and heat transfer correlation was obtained by power function multivariate nonlinear fitting. Research showed that the shell side comprehensive heat transfer performance of the novel finned tube was 1.46—1.64 times higher than that of the plain finned tube. When Reynolds number Re=9500 and relative slotting height was 0.5, the fin pitch decreased from 1.6 mm to 1.0 mm, the air side Nusselt number Nu increased by 19.44%, the air side drag coefficient f increased by 39.54%, and comprehensive heat transfer performance increased by 6.88%. When the Reynolds number Re=9500 and fin pitch was 1.2 mm, relative slotting height increased from 0.4 to 0.7, the air side Nu increased by 11.55%, the air side f increased by 4.74%, and comprehensive heat transfer performance increased by 9.84%. The calculation correlations of Nusselt number and resistance coefficient with average deviation less than 10% were finally proposed.
- finned tube /
- slotted fin /
- comprehensive heat transfer performance /
- resistance coefficient /
- dimensionless correlation

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图 1 换热器与翅片实物图

Figure 1. Physical diagram of heat exchanger and fin

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图 2 新型开缝翅片管结构

Figure 2. Structure of novel finned tube with slot

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图 3 实验系统流程图

Figure 3. Schematic diagram of the experiment system

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图 4 翅片数值模型

Figure 4. Numerical model of the novel fin

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图 5 翅片网格示意图

Figure 5. Schematic diagram of mesh of novel fin

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图 6 计算区域以及边界条件

Figure 6. Calculation domain and boundary conditions

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图 7 网格独立性验证

Figure 7. Grid independence validation

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图 8 数值模拟验证

Figure 8. Numerical simulation validation

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图 9 翅片表面附近速度与流线分布

Figure 9. Velocity and streamlines distribution near fin surface

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图 10 翅片表面附近温度分布

Figure 10. Temperature distribution near fin surface

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图 11 空气侧Nu与t_f的关系

Figure 11. Variation of Nu with t_f at the air side

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图 12 空气侧f与t_f的关系

Figure 12. Variation of f with t_f at the air side

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图 13 空气侧Nu与t_s/t_f的关系

Figure 13. Variation of Nu with t_s/t_f at the air side

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图 14 空气侧f与t_s/t_f的关系

Figure 14. Variation of f with t_s/t_f at the air side

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图 15 不同结构参数的空气侧PEC随Re的变化

Figure 15. Variation of PEC with Re with different structure parameters

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图 16 新型开缝翅片与其他3种开缝翅片在不同雷诺数下PEC值的对比

Figure 16. Comparison of PEC values between novel slotted fin and three types of slotted fins at different Re

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图 17 空气侧Nu关联式拟合偏差分布

Figure 17. Distribution of fitting deviation of Nu correlation at the air side

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图 18 空气侧f关联式拟合偏差分布

Figure 18. Distribution of fitting deviation of f correlationat the air side

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A_o/m²	空气侧总传热面积	h_i/（W/（m²·℃））	管内表面传热系数
A_i/m²	管内总传热面积	k/J	湍动能
A₁/m²	翅片间基管的表面积	L/m	空气流动方向长度
A₂/m²	翅片总表面积	$\dot m $/（kg/s）	空气质量流量
a	比耗散率项的衰减系数	H	翅片形状系数
a^*	涡黏度的衰减系数	p/Pa	压力
c_p/（J/（kg·℃））	空气比定压热容	Q_o/W	空气换热量
D_ω	交叉扩散项	S	平均应变率
d_e/m	当量直径	θ/℃	温度
d_o/m	基管外径	θ_in/℃	空气进口温度
d_i/m	基管内径	θ_out/℃	空气出口温度
f	阻力系数	$\theta '_{{\mathrm{in}}} $/℃	水侧进口温度
F_k	湍动能项	$\theta '_{{\mathrm{out}}} $/℃	水侧出口温度
F_ω	比耗散率项	θ_w/℃	管壁温度
F₁	湍流普朗特数的混合系数	t_f/mm	翅片间距
F₂	涡黏度的混合系数	t_r/mm	翅片间流道间距
G_max/（kg/（m²·s））	最窄流通截面单位面积质量流量	t_s/mm	开缝高度
h_o/（W/（m²·℃））	翅片表面传热系数	u/（m/s）	空气流速
α/（°）	圆弧开缝对应圆弧角	λ/（W/（m·℃））	导热系数
β	比耗散率的耗散项闭合系数	λ_f/（W/（m·℃））	翅片导热系数
β^*	流动能的耗散项闭合系数	μ/（kg/（m·s））	黏度
β_f/（°）	开缝倾角	μ_t/（kg/（m·s））	涡黏度
δ/mm	翅片厚度	ν_t/（m²/s）	涡运动黏度
ε_Y/%	实验不确定度	ρ/（kg/m³）	密度
Δp/Pa	翅片流道进出口压差	σ_k	湍流动能的普朗特数
η_o	翅片总效率	σ_ω	湍流比耗散率的普朗特数
η_f	翅片效率	ω	比耗散率
Nu	努塞尔数	Re	雷诺数

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表 1 翅片管结构参数

Table 1. Structural parameters of finned tube

结构参数	数值
基管规格d_o×δ_t/mm	10×0.7
横向管间距P₁/mm	20.0
纵向管间距P₂/mm	15.5
翅片厚度δ/mm	0.15
翅片间距t_f/mm	1.2
相对开缝高度t_s/t_f	0.5
矩形开缝横向宽度w₁/mm	7.0
矩形开缝纵向宽度w₂/mm	3.0
圆弧开缝内圆弧直径d₁/mm	11.5
圆弧开缝外圆弧半径d₂/mm	17.5
圆弧开缝对应圆弧角α/（°）	35
开缝倾角β_f/（°）	45

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表 2 主要实验仪器误差

Table 2. Error of main experimental instruments

实验仪器	量程	精度
电磁流量计（LDG-SUP-DN40）	3～30 m³/h	±0.5%
空气流量计（SKLG-DN200）	3 000～30 000 m³/h	±1.5%
铂热电阻（PT100）	−20～350 ℃	±0.15 ℃
气侧进口压力变送器（MIK-P300G）	0～1.6 MPa	±0.3%
气侧出口压力变送器（MIK-P300G）	0～1.6 MPa	±0.3%

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表 3 翅片数值模型结构参数

Table 3. Structural parameters of the numerical model of fin

结构	翅片间距t_f/mm	翅片流道间距t_r/mm	相对开缝高度t_s/t_f	开缝高度 t_s/mm
1	1.2	1.05	0.5	0.6
2	1.0	0.85	0.5	0.5
3	1.4	1.25	0.5	0.7
4	1.6	1.45	0.5	0.8
5	1.2	1.05	0.4	0.6
6	1.2	1.05	0.6	0.6
7	1.2	1.05	0.7	0.6

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