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首页> 外文期刊>International Journal of Heat and Mass Transfer >Modeling of Navier-Stokes equations for high Knudsen number gas flows
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Modeling of Navier-Stokes equations for high Knudsen number gas flows

机译：高克努森数气流的Navier-Stokes方程模型

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摘要

The possibility of modeling the Navier-Stokes equations and together with the conventional second order slip boundary condition at high Knudsen numbers is explored in this paper by incorporating the Knudsen diffusion phenomenon in rarefied gases. An effective mean free path (MFP) model is augmented to the governing equation and the slip boundary condition, as gas transport properties can be related to the MFP. This simple modification is shown to implicitly take care of the complexities associated in the transitional flow regime, without necessitating dependency of the slip coefficients on the Knudsen number. Unique analytical model with fixed values of slip coefficients is proposed and rigorous comparisons with the experimental and simulation data for pressure driven and thermally driven rarefied gas flows support this conjecture. First and second order slip coefficients have been proposed as 1.1466 and 0.9756 for rectangular channels and 1.1466 and 0.14 for the capillaries, from the continuum to the transition flow regime. The current work is significant from the numerical simulation point of view because simulation tools are better developed for Navier-Stokes equations.
机译：本文通过将稀有气体中的Knudsen扩散现象纳入研究，探索了在高Knudsen数下建模Navier-Stokes方程以及常规二阶滑移边界条件的可能性。有效的平均自由程（MFP）模型扩展到控制方程和滑移边界条件，因为气体传输特性可以与MFP相关。示出了这种简单的修改，隐含地照顾了过渡流动状态中的复杂性，而不必依赖滑动系数对克努森数的依赖。提出了具有固定滑移系数值的独特分析模型，并将其与压力驱动和热驱动稀薄气体流的实验和仿真数据进行了严格的比较，支持了这一推测。从连续流状态到过渡流动状态，矩形通道的一阶和二阶滑移系数建议为1.1466和0.9756，毛细管的建议为1.1466和0.14。从数值模拟的角度来看，当前的工作意义重大，因为为Navier-Stokes方程开发了更好的模拟工具。

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