论文部分内容阅读
本文研究了薄板（δ≤０．６厘米）在一侧表面受不变热量ｑ，边界处于空气对流传热条件下不稳定温度场的分布问题。若受热面积为一圆形面积，且受热区距离板边缘足够远（大于 ２０—３０倍受热半径）时，就可用轴对称方程来研究。本文用有限元法求解了轴对称二维热传导方程。数值计算表明，只有在受热区内，温度在板厚方向有不到１０％的温差，其余部分沿板厚方向的温度基本是均匀分布的。因此问题又可进一步简化为一维轴对称热传导问题，求得了它的解析解，并根据对二维轴对称热传导方程的有限元计算结果，给出对材料为铝及铝合金的薄板的一个温度场分布的拟合好验公式，还作了相应的实验。
In this paper, we study the problem of the distribution of the unstable temperature field under the convective heat transfer condition when the sheet (δ≤0.6 cm) is subjected to constant heat q on one side. If the heated area is a circular area, and the heated zone far enough from the edge of the plate (greater than 20-30 times the radius of heating), the axisymmetric equations can be used to study. In this paper, the finite element method is used to solve the axisymmetric two-dimensional heat conduction equation. The numerical results show that only in the heated zone, the temperature has a temperature difference of less than 10% in the plate thickness direction and the rest of the temperature in the plate thickness direction is substantially uniformly distributed. Therefore, the problem can be further simplified to the one-dimensional axisymmetric heat conduction problem, and its analytical solution is obtained. Based on the finite element calculation results of the two-dimensional axisymmetric heat conduction equation, the temperature of a sheet of aluminum and aluminum alloy Field distribution fitting test formula, also made the corresponding experiment.