难变形金属薄带温轧卷取加热温度计算
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摘要
设计开发了两侧配备热卷取箱的温轧机组,用于难加工金属薄带成卷轧制生产.采用二维圆柱坐标系,考虑沿带卷的径向和轴向传热,建立薄带卷取温度计算模型.在计算径向导热系数时将带卷沿径向分为薄带层、氧化层和间隙层.利用有限差分法,建立轴向和径向的显式差分方程和隐式差分方程,并采用交替方向隐式法进行求解.边界传热系数以辐射换热为主,并通过引入修正系数来考虑其他因素的影响.进行薄带卷取加热测温实验,回归实测温度与加热时间的关系函数,利用实测温度对传热修正系数进行优化,计算温度和实测温度偏差控制在±2℃以内.
A warm-rolling mill with two hot coil boxes was designed to process difficult-todeform metals strip. A numerical model was built to calculate strip coil temperature in a two dimensional cylindrical coordinate system,which considered the heat transferring along radial and axial directions. The thermal conductivity coefficient of radial direction was calculated according to the structures of strip layer,oxide layer and interface layer. The axial and radial explicit and implicit differential equations were deduced by finite differential method,solved by the alternating direction implicit method( ADI). The boundary condition of heat transfer coefficient was dominated by radiation mechanism,where a correction coefficient was introduced to consider other factors. The strip coil heating temperature was firstly measured through experiment. Then a linear relation between the actual temperature and heating time was regressed. After using the correction coefficient of heat transfer optimized by the actual temperature,the temperature can be calculated by the model,with the error within ± 2 ℃ compared with the experimental temperature.
A warm-rolling mill with two hot coil boxes was designed to process difficult-todeform metals strip. A numerical model was built to calculate strip coil temperature in a two dimensional cylindrical coordinate system,which considered the heat transferring along radial and axial directions. The thermal conductivity coefficient of radial direction was calculated according to the structures of strip layer,oxide layer and interface layer. The axial and radial explicit and implicit differential equations were deduced by finite differential method,solved by the alternating direction implicit method( ADI). The boundary condition of heat transfer coefficient was dominated by radiation mechanism,where a correction coefficient was introduced to consider other factors. The strip coil heating temperature was firstly measured through experiment. Then a linear relation between the actual temperature and heating time was regressed. After using the correction coefficient of heat transfer optimized by the actual temperature,the temperature can be calculated by the model,with the error within ± 2 ℃ compared with the experimental temperature.
引文
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[4] Park S J,Hong B H,Baik S C. Finite element analysis of hot rolled coil cooling[J]. ISIJ International,1998,38(11):1262-1269.
[5] Saboonchi A,Hassanpour S. Heat transfer analysis of hotrolled coils in multi-stack storing[J]. Journal of Materials Processing Technology,2007,182(1/2/3):101-106.
[6] Saboonchi A,Hassanpour S. Simulation-based prediction of hot-rolled coil forced cooling[J]. Applied Thermal Engineering,2008,28(13):1630-1637.
[7] Cho H H,Cho Y G,Im Y R. A finite element analysis for asymmetric contraction after coiling of hot-rolled steel[J].Journal of Materials Processing Technology,2010,210(6/7):907-913.
[8] Zhang X,Yu F,Wu W. Application of radial effective thermal conductivity for heat transfer model of steel coils in HPH furnace[J]. International Journal of Thermophysics,2003,24(5):1395-1405.
[9]祁卫东.罩式退火炉传热模型与带钢氧化控制研究[D].沈阳:东北大学,2013.(Qi Wei-dong. Research on heat transfer model of bell-type annealing furnace and oxidization control of strip steel[D].Shenyang:Northeastern University,2013.)
[10]杨世铭,陶文铨.传热学[M].北京:高等教育出版社,2006:43-46.(Yang Shi-ming,Tao Wen-quan. Heat transfer[M].Beijing:Higher Education Press,2006:43-46.)
[2] Fu H D,Zhang Z H,Pan H J,et al. Warm/cold rolling processes for producing Fe-6. 5w t%Si electrical steel w ith columnar grains[J]. International Journal of Minerals,Materiallurgy and Materials,2013,20(6):535-540.
[3]矫志杰,孙涛,李建平.难变形材料轧制实验机开发及实验研究[J].东北大学学报(自然科学版),2017,38(2):229-233.(Jiao Zhi-jie,Sun Tao,Li Jian-ping. Pilot mill development for the difficult-to-deform material rolling and experimental research[J]. Journal of Northeastern University(Natural Science),2017,38(2):229-233.)
[4] Park S J,Hong B H,Baik S C. Finite element analysis of hot rolled coil cooling[J]. ISIJ International,1998,38(11):1262-1269.
[5] Saboonchi A,Hassanpour S. Heat transfer analysis of hotrolled coils in multi-stack storing[J]. Journal of Materials Processing Technology,2007,182(1/2/3):101-106.
[6] Saboonchi A,Hassanpour S. Simulation-based prediction of hot-rolled coil forced cooling[J]. Applied Thermal Engineering,2008,28(13):1630-1637.
[7] Cho H H,Cho Y G,Im Y R. A finite element analysis for asymmetric contraction after coiling of hot-rolled steel[J].Journal of Materials Processing Technology,2010,210(6/7):907-913.
[8] Zhang X,Yu F,Wu W. Application of radial effective thermal conductivity for heat transfer model of steel coils in HPH furnace[J]. International Journal of Thermophysics,2003,24(5):1395-1405.
[9]祁卫东.罩式退火炉传热模型与带钢氧化控制研究[D].沈阳:东北大学,2013.(Qi Wei-dong. Research on heat transfer model of bell-type annealing furnace and oxidization control of strip steel[D].Shenyang:Northeastern University,2013.)
[10]杨世铭,陶文铨.传热学[M].北京:高等教育出版社,2006:43-46.(Yang Shi-ming,Tao Wen-quan. Heat transfer[M].Beijing:Higher Education Press,2006:43-46.)