Abstract The problem of rarefied gas flow through a long cylindrical channel as a function of the pressure and the temperature maintained at the channel ends is considered on the basis of the S -model of the Boltzmann kinetic equation. The pressure and temperature drops between the channel ends vary from small values at which the linear transport theory is valid to large values at which the gas molecule mean free path ceases to be constant along the channel. The solution to the model kinetic equation is found by means of the collocation method using the Chebyshev polynomials and rational functions. The mass flow and the pressure in the channel are obtained. Isobaric and isothermal flows are investigated.

中文翻译：

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任意压降和温降下非等温稀薄气流通过长圆柱通道

摘要 基于Boltzmann 动力学方程的S 模型，考虑了稀薄气体流过长圆柱通道的问题，该问题是通道两端保持的压力和温度的函数。通道末端之间的压力和温度下降从线性传输理论有效的小值到气体分子平均自由程沿通道不再恒定的大值不等。使用切比雪夫多项式和有理函数，通过搭配方法找到模型动力学方程的解。获得通道中的质量流量和压力。研究了等压流和等温流。