圆柱坐标系下非稳态导热问题改进数值求解方法

摘要

In view of the unsteady heat conduction problem under cylindrical coordinate system, the lumped parameter method and green function method are usually used, but they have some limitations. In this paper,to improve the precision and width, the heat conduction equation under cylindrical coordinate system was turned to that under the approximate rectangular coordinate system, the finite volume method (FVM) was used to solve the temperature field in computing area, grid independent solution was determined by subdividing the mesh, and it was compared with the temperature obtained under two coordinates. The results show that the temperature distribution under the approximate rectangular coordinate system is more in line with the actual situation.%针对圆柱坐标系下的非稳态导热问题，通常采用集总参数法和格林函数法，但其具有一定的局限性。为提高求解精度和广度，将圆柱坐标系下的导热方程转化为类直角坐标系下的导热方程，采用有限容积法（FVM）求解计算区域内的温度场，通过加密网格确定网格无关解，并与两种坐标系下求出的温度对比。计算结果表明，类直角坐标系下得出的温度分布更符合实际情况。