一种扁管管翅式换热器的高效数值设计方法

doi:10.11949/0438-1157.20200162

摘要/Abstract

摘要：

传统的数值模拟方法计算量大，计算时间长，很难满足现代工业发展的需求。以扁管管翅式换热器为例，采用适体坐标与最佳正交分解（POD）相结合的方法构建了低阶模型，在等热流边界条件下对扁管管翅式换热器中流动与传热过程进行计算，并将POD计算结果与有限体积法（FVM）计算结果进行了对比。结果表明：POD方法能准确地捕捉到不同数量参数变化情况下的温度场及速度场信息。对于3变量工况重构速度场及温度场的相对偏差平均值的最大值分别为1.90%、0.308%。采用POD方法在保证计算精度的前提下将FVM计算速度最大能提高3093.4倍。研究对于提高扁管管翅式换热器数值设计效率、拓展POD方法的工程应用领域有一定的理论参考价值。

关键词: 传热, 换热器, 扁管, 低阶模型, 等热流, 速度场重构, 数值模拟

Abstract:

Traditional numerical simulation methods have shortcomings of large amount of calculation, longer calculating time, so they can not meet the development requirement of modern industry. A POD reduced-order model for flat tube fin heat exchanger is constructed by combining body-fitted coordinates with proper orthogonal decomposition. The flow and heat transfer process of flat tube fin heat exchanger is calculated under unique heat flux boundary conditions. And its calculation results are compared with calculation results of the finite volume method (FVM). Results show that the POD method is feasible for solving the flow and heat transfer problems in complex structures such as flat tube fin heat exchangers and that can accurately capture the temperature field and velocity field information for different parameters. The relative deviation increases with the number of variables between the POD and FVM. The relative average maximum error of reconstructed velocity fields and temperature fields are 1.90% and 0.308%, respectively. Both cases are three-variable conditions. The POD method can increase the calculating speed of the traditional FVM by 3093.4 times under the premise of ensuring the calculating accuracy. This study has certain theoretical reference for improving the numerical design efficiency of flat tube fin heat exchangers and expanding the engineering application field of POD method.

Key words: heat transfer, heat exchanger, flat tube, reduced-order model, uniform heat flux, velocity field reconstruction, numerical simulation

中图分类号:

TK 124

马兵善, 赵皓辰, 王烨, 石成志, 王瑞君, 鲁红钰, 常悦. 一种扁管管翅式换热器的高效数值设计方法[J]. 化工学报, 2020, 71(S2): 104-110.

Bingshan MA, Haochen ZHAO, Ye WANG, Chengzhi SHI, Ruijun WANG, Hongyu LU, Yue CHANG. A new method of numerical design for flat tube fin heat exchanger[J]. CIESC Journal, 2020, 71(S2): 104-110.

图/表 13

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	5.0	40	15
双参数	A	B	40	45
三参数	A	B	C	225

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所得结果对比

Fig.4 Comparison of temperature field and velocity field between POD and FVM

图5 不同Rea时z= Tp/2截面温度场(Tp=5.0 mm，S1=40 mm)

Fig.5 Temperature field in z= Tp/2 section at different Rea

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

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

图7 双参数变化时z= Tp/2截面温度场(S1=40 mm)

Fig.7 Temperature field in z= Tp/2 section for two variables

图8 双参数变化时z= Tp/2截面速度场(S1=40 mm)

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

图9 三参数变化时z= Tp/2截面温度场

Fig.9 Temperature field in z= Tp/2 section for three variables

图10 三参数变化时z= Tp/2截面速度场

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

图11 POD方法与FVM所得温度场对比(z= Tp/2)

Fig.11 Comparison of temperature field between POD method and FVM

图12 POD方法与FVM所得速度场对比(z= Tp/2)

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

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