基于Monte Carlo方法的圆截面直角弯管传输几率

Monte Carlo Simulation of Transmission Probability of Circular, Right-Angle Elbow Pipe

借助Matlab软件,用蒙特卡洛方法对圆截面直角弯管在分子流态下的传输几率进行了模拟计算。通过数学方法实现对气体分子的虚拟约束和跟踪。本文先通过模拟最简单的圆直管道传输几率,并与Clausing、Dushman方法进行比较,验证了该方法的正确性和建模的合理性,进而对于圆截面直角弯管的传输几率进行了模拟计算,将模拟结果与两种等效算法比较得出:在分子流下计算圆截面直角弯管的传输几率时,Davis的等效方法较传统的等效方法更为合理。

The transmission probability in the molecular flow mode,of a circular,right-angle elbow pipe,was physi- cally modeled, empirically simplified, and mumerically calculated in Monte Carlo simulation with the software Matlab. The virtual constraint and tracing of the gas molecules were mathematically described. First, the transmission probability of a straight circular pipe was calculated, and compared with those simulated in Clausing and Dushman methods, to validate the model and simulation method;then,the situation of the circular, right-angle elbow pipe was simulated, and the the re- suits were compared with those calculaec in both the conventional and Davis eqivalent algorithms. The simulated results show that when it comes to the simulation of the transimission probability of a circular, right-angle elbow pipe, Davis e- quivalent method outperforms the conventional one.