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转臂式离心机工作室内的瞬态温度求解与分析

尹益辉 黎启胜 郝雨 李一飞 范志庚 罗昭宇

尹益辉, 黎启胜, 郝雨, 李一飞, 范志庚, 罗昭宇. 转臂式离心机工作室内的瞬态温度求解与分析[J]. 应用数学和力学, 2020, 41(1): 81-97. doi: 10.21656/1000-0887.400047
引用本文: 尹益辉, 黎启胜, 郝雨, 李一飞, 范志庚, 罗昭宇. 转臂式离心机工作室内的瞬态温度求解与分析[J]. 应用数学和力学, 2020, 41(1): 81-97. doi: 10.21656/1000-0887.400047
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
Citation: 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

转臂式离心机工作室内的瞬态温度求解与分析

doi: 10.21656/1000-0887.400047
基金项目: 国家自然科学基金(面上项目)(11572298);国家重大科技基础设施“超重力离心模拟与试验装置”项目
详细信息
    作者简介:

    尹益辉(1965—),男,研究员,博士,博士生导师(通讯作者. E-mail: yinyh@caep.cn).

  • 中图分类号: TH123

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

Funds: The National Natural Science Foundation of China(General Program)(11572298)
  • 摘要: 考虑大型转臂式离心机圆柱形工作室各墙壁(顶板、底板和侧壁)的瞬态导热,建立各墙壁的瞬态温度控制方程,对控制方程进行Laplace变换并求解,得到了透过墙壁内表面的总热流量与工作室内空气温度的关系.同时,综合考虑离心机驱动系统输出功率与工作室内空气和固体部件吸热、墙壁系统的吸热和导热、出风口带出的热量,以及动能与进风口带入的热量和动能之差等供能与耗能之间的平衡关系,建立工作室内瞬态温度控制方程,导出了工作室内空气瞬态温度的Laplace变换像函数的解析表达式.然后,采用求解Laplace逆变换的展开定理,导出了工作室内空气瞬态温度随时间变化的级数型显式表达式.最后,以一台多用途离心机为例,进行了工作室内空气温度的理论计算,与以前只考虑墙壁稳态导热的理论计算相比,瞬态计算结果与实测结果更加接近.所建瞬态温度公式提高了工作室温度的预测精度,有助于提升大型转臂式离心机工作室温控设计的水平.
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出版历程
  • 收稿日期:  2019-01-25
  • 修回日期:  2019-04-22
  • 刊出日期:  2020-01-01

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