不同维度泻流分布函数的讨论

A Discussion on Distribution Function of Effusion Velocities for Different Dimensions

从玻耳兹曼分布出发,推导了三维、二维和一维容器中理想气体平衡态和泻流的速率分布、特征速率.研究结果表明,不同维度泻流分子的平均能量均大于容器中分子的平均能量.利用Matlab画出麦克斯韦速率分布和泻流速率分布并进行对比.

From Boltzmann distribution, this paper deduces the velocity distributions and corresponding characteristic velocities for ideal gas in equilibrium and for effusion gas in 3d, 2d and ld systems respectively and furthermore, plots Maxwell velocity distribution and the velocity distribution of effusion gas using Matlab. The results show that average kinetic energies of the effusion molecules are larger than those in containers for different dimensions.