摘要
已有关于温度场的研究多是从热传导方程出发的,且大多未考虑材料性能随温度的变化.从能量平衡的角度研究温度场,能有效考虑热对流边界条件和材料性能随温度变化的问题.为了更好地还原实际情况,首先,基于能量平衡的原理,采用有限差分法建立了瞬态传热问题的有限差分方程;其次,考虑材料性能随温度的变化,使用MATLAB进行编程计算温度场;最后,给出算例,并通过与相应的ABAQUS有限元模拟结果对比,证明该方法能有效处理此类问题.研究发现:在升温环境中,是否考虑材料热工参数随温度变化不影响温度分布规律,但影响温度大小;当考虑材料性能随温度变化时,计算得到的物体内部温度高于不考虑材料性能变化时的温度;环境温度采用国际标准升温曲线时,在边界处物体内部温度变化与环境温度变化形式相同,均呈对数形式;在远离边界的物体内部,温度变化幅度随着离边界距离的增大而减小,温度变化呈指数形式.
Most of the existing researches on the temperature field are based on the heat conduction equation, and most of them do not consider the change of material properties with temperature. The thermal convection boundary condition and the change of material properties with temperature can be considered effectively by studying the temperature field from the perspective of energy balance. In order to better restore the actual situation, firstly, based on the principle of energy balance, finite difference method was used to establish the finite difference equation of the transient heat transfer problem. On this basis, considering the material properties with the change of temperature, MATLAB programming was used to calculate the temperature field;Finally, an example was given and compared with the corresponding ABAQUS finite element simulation results, and it is proved that this method can effectively deal with such problems. The results showed that in the heating environment, whether the material thermal parameters change with temperature does not affect the distribution of temperature, but affects the size of temperature. The internal temperature of the object calculated with the material properties changing with temperature is higher than that without the material properties changing. When the international standard temperature rise curve is adopted for the ambient temperature, the change form of the internal temperature of the object at the boundary is the same as that of the ambient temperature, which is in logarithmic form. In the object far from the boundary, the temperature range decreases with the increase of the distance from the boundary, and the temperature change is exponential.
作者
赵锐
杨名扬
淡丹辉
ZHAO Rui;YANG Mingyang;DAN Danhui(School of Architecture and Civil Engineering,Xinjiang University,Urumqi 830017,China;Xinjiang Key Lab of Building Structure and Earthquake Resistance,Urumqi 830017,China;School of Civil Engineering,Tongji University,Shanghai 200092,China)
出处
《西南师范大学学报（自然科学版）》
CAS
2023年第1期90-101,共12页
Journal of Southwest China Normal University(Natural Science Edition)
基金
新疆大学天山学者特聘教授科研启动基金(620312327)。
关键词
温度场
变系数热传导方程
有限差分法
能量平衡
temperature field
variable coefficient heat conduction equation
finite difference method
energy balance
