1.兰州交通大学环境与市政工程学院,甘肃 兰州 730070
2.铁道车辆热工教育部重点实验室,甘肃 兰州 730070
王烨(1972—),男,博士,教授, wangye@mail.lzjtu.cn
收稿:2020-03-16,
修回:2020-07-05,
网络首发:2020-11-03,
纸质出版:2020-11-05
移动端阅览
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
WANG Ye, SUN Zhendong, WANG Ruijun, LU Hongyu, CHANG Yue. 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
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 DOI: 10.11949/0438-1157.20200270.
WANG Ye, SUN Zhendong, WANG Ruijun, LU Hongyu, CHANG Yue. 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 DOI: 10.11949/0438-1157.20200270.
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。
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.
林志敏 . 扭带及涡产生器在管内诱导的二次流强度及其强化传热特性研究 [D ] . 兰州 : 兰州交通大学 , 2011 .
Lin Z M . The characteristics of secondary flow and heat transfer enhancement in circular tube with twisted tape or vortex generators [D ] . Lanzhou : Lanzhou Jiaotong University , 2011 .
宋付权 . 油藏模拟的过去、现状和未来 [J ] . 国外油田工程 , 2001 , 17 ( 1 ): 40 - 49 .
Song F Q . Past, current and future of reservoir simulation [J ] . Foreign Oilfield Engineering , 2001 , 17 ( 1 ): 40 - 49 .
李成政 , 石陕龙 , 李成翔 , 等 . 油田开发中油藏数值模拟技术的应用及发展 [J ] . 中国石油和化工标准与质量 , 2013 , 33 : 155 .
Li C Z , Shi S L , Li C X , et al . Application and development of reservoir numerical simulation technology in oilfield development [J ] . China Petroleum and Chemical Standards and Quality , 2013 , 33 : 155 .
Prithiviraj M , Andrews M J . Three-dimensional numerical simulation of shell-and-tube heat exchangers(Ⅱ): Heat transfer [J ] . Numerical Heat Transfer Part A , 1998 , 33 : 817 - 828 .
李波 , 龚春林 , 粟华 , 等 . 本征正交分解在翼型气动优化中的应用研究 [J ] . 上海航天 , 2017 , 34 ( 5 ): 117 - 123 .
Li B , Gong C L , Su H , et al . Research and application on proper orthogonal decomposition in aerodynamic optimization of airfoil [J ] . Aerospace Shanghai , 2017 , 34 ( 5 ): 117 - 123 .
李庭宇 . 黏弹性减阻流动的离散元素POD模型研究 [D ] . 北京 : 中国石油大学 , 2017 .
Li T Y . Study on POD-ROM of viscoelastic drag-reducing flow based on the spring-dumbbell model [D ] . Beijing : China University of Petroleum , 2017 .
Wang Y , Wang Y , Cheng Z . Direct numerical simulation of gas-liquid drag-reducing cavity flow by the VOSET method [J ] . Polymers , 2019 , 11 ( 4 ): 596 - 613 .
Wang Y . Reynolds stress model for viscoelastic drag-reducing flow induced by polymer solution [J ] . Polymers , 2019 , 11 ( 10 ): 1659 - 1670 .
Wang Y , Sun S Y , Gong L , et al . A globally mass-conservative method for dual-continuum gas reservoir simulation [J ] . Journal of Natural Gas Science and Engineering , 2018 , 53 : 301 - 316 .
Wang Y , Yu B , Wang Y . Acceleration of gas reservoir simulation using proper orthogonal decomposition [J ] . Geofluids , 2018 , 2018 : 8482352 .
Wang Y , Sun S Y , Yu B . Acceleration of gas flow simulations in dual-continuum porous media based on the mass-conservation POD method [J ] . Energies , 2017 , 10 ( 9 ): 1 - 17 .
Sun Y , Sun S X , Zhang J Y , et al . Reconstruction of wind velocity distribution using POD model [J ] . Energy Procedia , 2016 , 100 : 137 - 140 .
王艺 , 薛文第 , 宇波 , 等 . 双孔双渗介质中气体流动的POD模型研究 [J ] . 工程热物理学报 , 2018 , 39 ( 5 ): 1063 - 1069 .
Wang Y , Xue W D , Yu B , et al . POD modeling for gas flow in dual-porosity dual-permeability porous media [J ] . Journal of Engineering Thermophysics , 2018 , 39 ( 5 ): 1063 - 1069 .
Luo Z D , Li H , Zhou Y J , et al . A reduced FVE formulation based on POD method and error analysis for two-dimensional viscoelastic problem [J ] . Journal of Mathematical Analysis and Applications , 2012 , 385 ( 1 ): 310 - 321 .
Luo Z D , Li L , Sun P . A reduced-order MFE formulation based on POD method for parabolic equations [J ] . Acta Mathematica Scientia , 2013 , 33 B( 5 ): 1471 - 1484 .
Han D X , Yu B , Wang Y , et al . Fast thermal simulation of a heated crude oil pipeline with a BFC-based POD reduced-order model [J ] . Applied Thermal Engineering , 2015 , 88 : 217 - 229 .
张文轲 , 张劲军 , 宇波 . 热油管道油温波动随机数值模拟及影响因素敏感性分析 [J ] . 中国石油大学学报(自然科学版) , 2011 , 35 ( 2 ): 141 - 146 .
Zhang W K , Zhang J J , Yu B . Stochastic numerical simulation on oil temperature fluctuations of hot crude pipe lines and sensitivity analysis to related factors [J ] . Journal of China University of Petroleum (Edition of Natural Science) , 2011 , 35 ( 2 ): 141 - 146 .
韩东旭 . 基于适体坐标的POD低阶模型研究及其在热油管道中的应用 [D ] . 北京 : 中国石油大学 , 2016 .
Han D X . Study on BFC based POD reduced-order model and its application on heated oil pipeline [D ] . Beijing : China University of Petroleum , 2016 .
叶永友 , 何承高 . 海上风力发电塔脉动风速模拟研究 [J ] . 价值工程 , 2018 , 35 : 151 - 153 .
Ye Y Y , He C G . Simulation of fluctuating wind velocity on the offshore wind turbine [J ] . Value Engineering , 2018 , 35 : 151 - 153 .
Tanya K V , Geoffrey M O . Model reduction of dynamical systems by proper orthogonal decomposition: error bounds and comparison of methods using snapshots from the solution and the time derivatives [J ] . Journal of Computational and Applied Mathematics , 2018 , 330 : 553 - 573 .
Deokar R , Shimada M , Lin C , et al . On the treatment of high-frequency issues in numerical simulation for dynamic systems by model order reduction via the proper orthogonal decomposition [J ] . Computer Methods in Applied Mechanics and Engineering , 2017 , 325 : 139 - 154 .
张震宇 . 风力机翼型动态失速的POD模型降阶方法 [J ] . 南京航空航天大学学报 , 2011 , 43 ( 5 ): 577 - 580 .
Zhang Z Y . Reduced-order POD model for dynamic stall of wind turbine airfoils [J ] . Journal of Nanjing University of Aeronautics & Astronautics , 2011 , 43 ( 5 ): 577 - 580 .
Saeed E A , Ahmed R , Daniel L . Damage detection in structural systems utilizing artificial neural networks and proper orthogonal decomposition [J ] . Structural Control and Health Monitoring , 2019 , ( 26 ): 1 - 24 .
罗杰 , 段焰辉 , 蔡晋生 . 基于本征正交分解的速度场快速预测方法研究 [J ] . 航空工程进展 , 2014 , 5 ( 3 ): 350 - 357 .
Luo J , Duan Y H , Cai J S . A quick method of flow field prediction based on proper orthogonal decomposition [J ] . Advances in Aeronautical Science and Engineering , 2014 , 5 ( 3 ): 350 - 357 .
周晅毅 , 李刚 . POD结合薄板样条插值法在风压预测中的应用 [J ] . 建筑结构 , 2011 , 41 ( 6 ): 98 - 109 .
Zhou X Y , Li G . Application of POD combined with thin-plate splines in research on wind pressure [J ] . Building Structure , 2011 , 41 ( 6 ): 98 - 109 .
江棹荣 , 倪振华 , 谢壮宁 . 本征正交分解技术在屋盖风压场重建与预测中的应用 [J ] . 应用力学学报 , 2007 , 24 ( 4 ): 592 - 598 .
Jiang Z R , Ni Z H , Xie Z N . Reconstruction and prediction of wind pressure field on roof [J ] . Chinese Journal of Applied Mechanics , 2007 , 24 ( 4 ): 592 - 598 .
王友武 . 广州塔高空风场特性与风压预测 [D ] . 长沙 : 湖南大学 , 2012 .
Wang Y W . Wind characteristics of Guangzhou tower at high altitude and prediction of wind pressures [D ] . Changsha : Hunan University , 2012 .
王烨 , 王艺 , 胡文婷 , 等 . POD方法在扁管管翅式换热器研究中的应用 [J ] . 计算物理 , 2018 , 35 ( 5 ): 587 - 596 .
Wang Y , Wang Y , Hu W T , et al . Application of POD reduced-order model to the study of heat transfer performance of flat tube bank fin heat exchanger [J ] . Chinese Journal of Computational Physics , 2018 , 35 ( 5 ): 587 - 596 .
王烨 , 王良璧 . 翅片材料对扁管管翅式换热器耦合传热特性影响 [J ] . 应用基础与工程科学学报 , 2017 , 25 ( 4 ): 824 - 834 .
Wang Y , Wang L B . Influence of fin material on the conjugate heat transfer characteristics of flat tube bank fin heat exchanger [J ] . Journal of Basic Science and Engineering , 2017 , 25 ( 4 ): 824 - 834 .
宇波 . 流动与传热数值计算——若干问题的研究与探讨 [M ] . 北京 : 科学出版社 , 2015 .
Yu B . Numerical Calculation of Flow and Heat Transfer: Research and Discussion on Some Problems [M ] . Beijing : Science Press , 2015 .
Kylikof U A . The Cooling System of Diesel Locomotive [M ] . Moscow : Machine Construction Press , 1988 .
0
浏览量
1
下载量
3
CSCD
关联资源
相关文章
相关作者
相关机构
京公网安备11010102001995号