计算参数对一维瞬态传热级数解收敛速度的影响  

Effect of calculation parameters on convergence speed of one-dimensional transient heat transfer series solution

作　　者：王养丽[1] 金海燕[2] 

机构地区：[1]武警工程学院物理教研室,陕西西安710086 [2]华北电力大学,北京102206

出　　处：《华北电力大学学报（自然科学版）》2006年第4期99-101,共3页Journal of North China Electric Power University：Natural Science Edition

摘　　要：讨论了一维瞬态传热温度场的级数解的收敛速度问题,探寻主要计算参数对级数解收敛速度的影响规律。通过对级数解的数值计算发现傅立叶准则和毕渥准则对级数解的收敛速度有显著的影响。随着傅立叶准则数增大,级数解的收敛速度加快;随着毕渥准则数减少,级数解的收敛速度加快。在应用级数解计算瞬态温度场的过程中,选择合适的级数项数是得到正确结果的关键。The issue of convergence speed of series solution to one-dimensional transient heat transfer is studied. The effect rules of calculation parameters on convergence speed are discussed. It is found that the Fourier and Blot numbers have big effect on the convergence speed of series solution. While Fourier number increases, the speed increases; while Bolt number decreases, the speed increases. The general characteristics of convergence speed of series solution are discussed. It is concluded that selecting proper item numbers of series is the key to get correct result.

关 键 词：非稳态传热 级数解 收敛速度 

分 类 号：TK124[动力工程及工程热物理—工程热物理]