Research on Transient Temperature in the Work Room of a Rotary Arm Type Centrifuge

YIN Yihui; LI Qisheng; HAO Yu; LI Yifei; FAN Zhigeng; LUO Zhaoyu

doi:10.21656/1000-0887.400047

Volume 41 Issue 1

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Article Navigation > Applied Mathematics and Mechanics > 2020 > 41(1): 81-97

YIN Yihui, LI Qisheng, HAO Yu, LI Yifei, FAN Zhigeng, LUO Zhaoyu. Research on Transient Temperature in the Work Room of a Rotary Arm Type Centrifuge[J]. Applied Mathematics and Mechanics, 2020, 41(1): 81-97. doi: 10.21656/1000-0887.400047

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Research on Transient Temperature in the Work Room of a Rotary Arm Type Centrifuge

doi: 10.21656/1000-0887.400047

YIN Yihui^1,2,
LI Qisheng^1,2,
HAO Yu^1,2,
LI Yifei³,
FAN Zhigeng^1,2,
LUO Zhaoyu^1,2

¹Institute of Systems Engineering, China Academy of Engineering Physics,Mianyang, Sichuan 621999, P.R.China;²Shock and Vibration of Engineering Materials and Structures Key Laboratory of Sichuan Province, Mianyang, Sichuan 621999, P.R.China;³School of Civil and Transportation Engineering, Qinghai Nationalities University, Xining 810007, P.R.China

Funds: The National Natural Science Foundation of China（General Program）(11572298)

Received Date: 2019-01-25
Rev Recd Date: 2019-04-22
Publish Date: 2020-01-01

Abstract

Abstract

Firstly, in view of the transient heat conduction in the top, bottom and side walls of the work room of a rotary arm type centrifuge, the governing equations of transient temperature for the walls were developed. Through the Laplace transform and solution, the total heat flux amount permeating the interior surfaces of the walls in terms of air temperature in the work room was obtained. Then, the governing equation of transient air temperature in the work room was established according to the energy conservation principle. In the equation, the input energy from the drive system was balanced with the total energy absorbed by the air and solid parts in the work room, absorbed and transferred out by the walls, and taken away by the outflow air over inflow air. Finally, the explicit series expressions of the transient temperature in the work room were deduced by means of the expansion theorem of the inverse Laplace transform. As an example, the work room transient temperature of one constructed geotechnical centrifuge was computed theoretically and the results were compared with the experimentally measured values. The comparison indicates that, the theoretical solution is in good agreement with the experimental one. The established transient temperature formula can increase the forecast accuracy for the work room temperature and improve the temperature control design of the work rooms of rotary arm type centrifuges.
- rotary arm type centrifuge,
- aerodynamic power,
- drive power,
- transient heat conduction,
- work room transient temperature

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References

[1]	贾普照. 稳态加速度模拟试验设备: 离心机概论与设计[M]. 北京: 国防工业出版社, 2013.(JIA Puzhao. Steady-State Acceleration Simulation Test Equipment: Centrifuge Conspectus and Design [M]. Beijing: National Defense Industry Press, 2013.(in Chinese))
[2]	CORTE J F. Design of geotechnical centrifuges[C]// Centrifugeuses, Equipements et Instrumentation.Paris, 1988: 9-15.
[3]	尹益辉, 余绍蓉, 冯晓军, 等. 土工离心机的机室温升及其控制方法研究[C]//第18届全国结构工程学术会议论文集 (第Ⅰ册). 北京, 2009.(YIN Yihui, YU Shaorong, FENG Xiaojun, et al. Reseaches into temperature rise and control methods for work room of geotechnical centrifuges[C]// Proceedings of the 18th National Conference on Structural Engineering (Sesion Ⅰ).Beijing, 2009.(in Chinese))
[4]	尹益辉, 刘远东, 王兴伦, 等. 旋臂式离心机负载转矩及其驱动电机额定功率的计算方法[J]. 机电工程, 2011,28(6): 659-662.(YIN Yihui, LIU Yuandong, WANG Xinlun, et al. Calculations of load rotational moment and rating power of centrifuges with rotation arms[J]. Journal of Mechanical & Electrical Engineering,2011,28(6): 659-662.(in Chinese))
[5]	尹益辉, 余绍蓉, 冯晓军, 等. 密闭机室型土工离心机的风阻功率[J]. 绵阳师范学院学报, 2010,29(2): 1-5.(YIN Yihui, YU Shaorong, FENG Xiaojun, et al. Aerodynamic power of geotechnical centrifuges with closed chamber[J]. Journal of Mianyang Normal University,2010,29(2): 1-5.(in Chinese))
[6]	尹益辉, 余绍蓉, 冯晓军, 等. 机室开有通风口的土工离心机的风阻功率[J]. 绵阳师范学院学报, 2010,29(5): 1-5.(YIN Yihui, YU Shaorong, FENG Xiaojun, et al. Aerodynamic power of geotechnical centrifuges with holed chamber[J]. Journal of Mianyang Normal University,2010,29(5): 1-5.(in Chinese))
[7]	尹益辉, 冯晓军, 范志庚, 等. 土工离心机稳定运行时机室的自然排风效应研究[J]. 绵阳师范学院学报, 2017,36(11): 1-7.(YIN Yihui, FENG Xiaojun, FAN Zhigeng, et al. On natural air exhaust of the chamber of a steady operating geotechnical centrifuge[J]. Journal of Mianyang Normal University,2017,36(11): 1-7.(in Chinese))
[8]	郝雨, 尹益辉, 万强, 等. 基于CFD的土工离心机风阻及流场特性分析[J]. 装备环境工程, 2018,15(2): 52-56.(HAO Yu, YIN Yihui, WAN Qiang, et al. Wind resistance and flow field characteristic analysis of geotechnical centrifuges based on CFD[J]. Equipment Environmental Engineering,2018,15(2): 52-56.(in Chinese))
[9]	周焕林, 严俊, 余波, 等. 识别含热源瞬态热传导问题的热扩散系数[J]. 应用数学和力学, 2018,39(2): 160-169.(ZHOU Huanlin, YAN Jun, YU Bo, et al. Identification of thermal diffusion coefficients for transient heat conduction problems with heat sources[J]. Applied Mathematics and Mechanics,2018,39(2): 160-169.(in Chinese))
[10]	陈适才, 徐珊, 张磊, 等. 火场-结构联合分析简化模型及其应用研究[J]. 应用数学和力学, 2017,38(8): 888-898.(CHEN Shicai, XU Shan, ZHANG Lei, et al. A simplified model for coupled fire-structure analysis and its application[J]. Applied Mathematics and Mechanics,2017,38(8): 888-898.(in Chinese))
[11]	黄锦舒, 孔令刚, 韩连兵, 等. ZJU-400离心机工作舱温控效果测试与分析[C]//全国土工离心模拟技术学术交流会会议论文集. 武汉, 2011: 199-202.(HUANG Jinshu, KONG Linggang, HAN Lianbing, et al. Measurement and analysis of the temperature control effect for ZJU-400 centrifuge[C]// Proceedings of the National Conference on Simulation Technology of Geotechnical Centrifuges.Wuhan, 2011: 199-202.(in Chinese))
[12]	四川大学数学系高等数学微分方程教研室. 高等数学[M]. 北京: 人民教育出版社, 1979.(Differential Equation Teaching and Research Section, Departments of Mathematics of Sichuan University. Higher Mathematics [M]. Beijing: People’s Education Press of China, 1979.(in Chinese))
[13]	尹益辉, 黎启胜, 郝雨, 等. 大型旋转机械转子驱动功率的理论与实测融合分析[J]. 工程设计与力学环境, 2018(1): 16-24.(YIN Yihui, LI Qisheng, HAO Yu, et al. Combined theoretical and experimental analysis of drive power of large rotating machines[J]. Engineering Design and Mechanics Environment,2018(1): 16-24.(in Chinese))
[14]	王照亮, 张克舫, 李华玉, 等. 一种求解复合圆筒非稳态导热问题的新方法[J]. 石油大学学报, 2005,29(2): 89-92.(WANG Zhaoliang, ZHANG Kefang, LI Huayu, et al. A new approximate solution for multiple-layer cylindrical walls of unsteady-state heat conduction[J]. Journal of the University of Petroleum,2005,29(2): 89-92.(in Chinese))
[15]	STEHFEST H. Algorithm 368 numerical inversion of Laplace transforms[J]. Communications of ACM,1970,13(1): 47-49.