不同边界条件下管翅式换热器流动与传热性能的POD分析

doi:10.11949/0438-1157.20200270

摘要/Abstract

摘要：

传统的数值模拟计算时间长，很难满足现代工业发展需求。采用适体坐标与本征正交分解（POD）相结合的方法在等壁温和等热流两种边界条件下对扁管管翅式换热器进行降维计算，并将计算结果与有限容积法（FVM）计算结果进行了对比。结果表明：POD方法在等壁温和等热流边界条件下均能获得物理过程的准确信息，并将传统FVM数值计算速度提高了3093倍。采用POD方法重构温度场时，在等壁温和等热流条件下相对偏差平均值的最大值分别为0.557%和0.308%。重构速度场时，在等壁温和等热流条件下相对偏差平均值的最大值分别为1.26%和1.9%，这一结论可为换热器的数值设计中合理设置边界条件提供理论依据。

关键词: POD低阶模型, 扁管管翅式换热器, 等热流, 等壁温, 速度场重构, 数值设计

Abstract:

The traditional numerical simulation calculation time is long, and it is difficult to meet the needs of modern industry development. The method of combining body-fitted coordinates and proper orthogonal decomposition(POD) reduced-order model is used to calculate the heat transfer units of the flat tube fin heat exchanger. And its calculation results are compared with the results of the finite volume method (FVM). The results show that the POD method can accurately obtain the actual information under the boundary conditions of uniform wall temperature and uniform heat flux. But also, the calculation speed of POD is 3093 times of FVM. As for the cases of reconstructing the temperature field, the maximum error values under the boundary conditions of uniform wall temperature and uniform heat flux are 0.557% and 0.308%, respectively. As for the cases of reconstructing the velocity field, the maximum error values under the boundary conditions of uniform wall temperature and uniform heat flux are 1.26% and 1.9%, respectively. The conclusions of this study can supply theoretical reference for reasonable boundary condition in numerical design of the heat exchanger.

Key words: POD reduced-order model, flat tube fin heat exchanger, uniform heat flux, uniform wall temperature, velocity field reconstruction, numerical design

中图分类号:

TK 124

王烨,孙振东,王瑞君,鲁红钰,常悦. 不同边界条件下管翅式换热器流动与传热性能的POD分析[J]. 化工学报, 2020, 71(11): 5150-5158.

Ye WANG,Zhendong SUN,Ruijun WANG,Hongyu LU,Yue CHANG. POD analysis of flow and heat transfer performance of tube fin heat exchanger on different boundary conditions[J]. CIESC Journal, 2020, 71(11): 5150-5158.

图/表 16

图1 换热板芯结构示意图

Fig.1 Structure diagram of heat exchanger

表1 样本参数

Table 1 Sample parameters

样本数据	Re_a	T_p/mm	S₁/mm	样本个数
单参数	A	5	40	15
双参数	A	B	40	45
三参数	A	B	C	225

表2 基函数组数的选取

Table 2 Selection of the number of basis functions

等热流	温度场	速度场	等壁温	温度场	速度场
单参数	9	9	单参数	8	9
双参数	28	27	双参数	24	26
三参数	81	80	三参数	70	80

图2 数值结果与实验结果对比

Fig.2 Comparison of numerical results with experimental results

图3 网格独立性验证

Fig.3 Grid independence verification

图4 POD方法与FVM所得温度场对比

Fig.4 Temperature field comparison of POD and FVM

图5 POD方法与FVM所得速度场对比

Fig.5 Velocity field comparison of POD and FVM

图6 不同Rea时z= Tp/2截面温度场(Tp=5.0 mm，S1=40 mm)

Fig.6 Temperature field in z= Tp/2 section at different Rea

图7 不同Rea时z= Tp/2截面速度场(Tp=5.0 mm，S1=40 mm)

Fig.7 Velocity field in z= Tp/2 section at different Rea

图8 双参数变化时z= Tp/2截面温度场(S1=40 mm)

Fig.8 Temperature field in z= Tp/2 section for two variables

图9 双参数变化时z= Tp/2截面速度场(S1=40 mm)

Fig.9 Velocity field in z= Tp/2 section for two variables

图10 三参数变化时z= Tp/2截面温度场

Fig.10 Temperature field in z= Tp/2 section for three variables

图11 三参数变化时z= Tp/2截面速度场

Fig.11 Velocity field in z= Tp/2 section for three variables

图12 POD方法与FVM所得温度场对比(z= Tp/2)

Fig.12 Comparison of temperature field between POD method and FVM

图13 POD方法与FVM所得速度场对比(z= Tp/2)

Fig.13 Comparison of velocity field between POD method and FVM

表4 不同计算方法耗时对比

Table 4 Calculating time of different methods

计算方法	耗时/s	FVM/POD
FVM算法	14508
POD方法
单参数,线性插值	4.69	3093.39
双参数,线性插值	8.39	1729.20
三参数,线性插值	21.02	690.20

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