【摘要】 本文研究矩形、圆形平面内存在周期性变化的内热源时,温度场的计算问题。 研究的基本方法是:首先把问题线性化,求出平面内任意位置上存在一简谐变化的点热源和某局部区域内热源均匀分布时,平面温度场的解析表达式;然后利用叠加原理,计算热源任意周期变化和热源在平面内任意不均匀分布时的温度场;并用实验验证了计算方法的正确性。更多还原

【Abstract】 A rectangular or a circular planar thermal field in which, many uneven arbitrarily distributed heat sources exist is under consideration. The basic method of calculating temperature distribution is first, finding out the mathematical analytical expression of this planar thermal field, which contains arbitrary positioned singular sinusoidal varia-ting heat source, the problem is linearized. Then by using superimposing principle the mathematical analytical expression for a planar thermal field with many uneven arbitrarily distributed and arbitrary cyclical variating heat sources is derived. The obtained expression is a three-powered series, it converges rapidly and may be evaluated manually. The average error of the result when compared with the experimental value is within ± 2℃.更多还原