东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2015, Vol. 36 ›› Issue (7): 937-941.DOI: 10.12068/j.issn.1005-3026.2015.07.006

• 材料与冶金 • 上一篇    下一篇

热轧带钢温度场计算模型及其计算偏差分析

江连运， 袁国， 吴迪， 王国栋   

  1. (东北大学 轧制技术与连轧自动化国家重点实验室， 辽宁 沈阳110819)
  • 收稿日期:2014-05-15 修回日期:2014-05-15 出版日期:2015-07-15 发布日期:2015-07-15
  • 通讯作者: 江连运
  • 作者简介:江连运(1985-)，男，山东济宁人，东北大学博士研究生；吴 迪(1952- )，男，辽宁绥中人，东北大学教授，博士生导师；王国栋(1942-)，男，辽宁大连人，东北大学教授，博士生导师，中国工程院院士.
  • 基金资助:
    “十二五”国家科技支撑计划项目(2012BAF04B01).

Calculation Model of Temperature Field and Its Deviation Analysis for Hot Rolled Strip

JIANG Lian-yun， YUAN Guo， WU Di， WANG Guo-dong   

  1. State Key Laboratory of Rolling and Automation， Northeastern University， Shenyang 110819， China.
  • Received:2014-05-15 Revised:2014-05-15 Online:2015-07-15 Published:2015-07-15
  • Contact: JIANG Lian-yun
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摘要： 热轧带钢温度场可根据热传导偏微分方程与边界条件和初始条件计算，也可采用忽略厚度方向温度梯度的集总参数法计算.在假设前者计算结果准确的基础上，将集总参数法所获得的温度计算模型与前者进行偏差计算，得到了相对偏差计算公式并采用Matlab求得不等式的解，由此得到了集总参数法的应用范围:当相对偏差在5%以内时，带钢心部、1/4和表面的毕渥数范围分别为0～0.1008，0～0.1361和0～0.9593；相对偏差在10%以内时，带钢心部、1/4和表面的毕渥数范围分别为0～0.2033，0～0.2782和0～1.4974.

关键词: 热轧带钢, 集总参数法, 温度计算模型, 相对偏差, 毕渥数

Abstract: Temperature field of hot rolled strip was calculated according to the partial differential equation of heat conduction and the boundary and initial condition， and the lumped parameter analysis method which neglects temperature gradient along the thickness. The equations of relative deviation for the two temperature calculation models， assuming the former was accurate， were obtained， and the equations were calculated by Matlab. The application range of temperature calculation model obtained by lumped parameter analysis method were obtained. The ranges of Biot were 0～0.1008， 0～0.1361 and 0～0.9593 for the central， 1/4 and surface of strip， respectively， when the relative deviation was less than 5%， and the ranges of Biot were 0～0.2033， 0～0.2782 and 0～1.4974 for the central， 1/4 and surface of strip， respectively， when the relative deviation was less than 10%.

Key words: hot rolled strip, lumped parameter analysis method, temperature calculation model, relative deviation, Biot

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