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THE EFFECTS OF GEOMETRY AND KNUDSEN NUMBERS ON MICRO-AND NANOCHANNEL FLOWS

机译:几何数和克努森数对微通道和纳米通道流的影响

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In this work we use a three dimensional Molecular Dynamics simulation method to study the effect of different geometries and Knudsen number regimes on the gas flow in micro- nanochannels. Argon molecules have been used for the simulations. Thermal wall and diffusive-specular wall types were used for the boundaries of the channels. The velocity profiles in the channel were obtained and analyzed with three different channel geometries that are commonly used in the industry: circular, rectangular (square), and slit channel. We found that when using the same driving force, the maximum velocity of the flow increases when the geometry changes in the order from circular geometry to rectangular geometry to slit geometry, where the latter becomes 1.2~1.5 times as large compared with either the rectangular or circular channel. While the absolute values of the velocity profiles show a distinct difference according to the different geometries, geometry effect on the shape of the velocity profile also shows interesting features. Rectangular tube shows much flatter profile compared with the other two channels. Also the effect of the size of the channels and different Knudsen numbers on the velocity profiles is investigated. Two different sizes were used here: 100nm and 10nm corresponding to typical sizes of a nano channel and carbon nanotubes. We found that the Knudsen number has an effect on the slip and maximum flow velocity for the slit geometry even for higher Knudsen number. For the Kn higher than approximately 3, it was found that the Knudsen number has a small influence on the slip flow velocity for the circular channel and rectangular channel than for lower Knudsen number.
机译:在这项工作中,我们使用三维分子动力学模拟方法来研究不同几何形状和克努森数域对微纳米通道中气体流动的影响。氩分子已用于模拟。热壁和扩散镜面壁类型用于通道的边界。获得了通道中的速度分布图,并使用行业中常用的三种不同的通道几何形状进行了分析:圆形,矩形(正方形)和狭缝通道。我们发现,当使用相同的驱动力时,当几何形状从圆形几何形状变为矩形几何形状到狭缝几何形状时,流的最大速度增加,而狭缝几何形状的大小是矩形或矩形的1.2到1.5倍。圆形通道。虽然速度曲线的绝对值根据不同的几何形状显示出明显的差异,但几何形状对速度曲线形状的影响也显示出有趣的特征。与其他两个通道相比,矩形管的轮廓要平坦得多。还研究了通道大小和不同的努森数对速度分布的影响。此处使用两种不同的尺寸:100nm和10nm,分别对应于纳米通道和碳纳米管的典型尺寸。我们发现,即使对于更高的克努森数,克努森数也会对滑移和最大几何形状缝隙几何形状的流速产生影响。对于大于大约3的Kn,发现与较低的Knudsen数相比,Knudsen数对圆形通道和矩形通道的滑移速度的影响较小。

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