Effects of two transversal finite dimensions in long microchannel: Analytical approach in slip regime
Effects of two transversal finite dimensions in long microchannel: Analytical approach in slip regime
复制标题
长微通道中两个横向有限尺寸的影响：滑移状态的分析方法
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
I. Graur
中科院分区：
文献类型：
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作者：
J. Méolans;M. Nacer;M. Rojas;P. Perrier;I. Graur
本文提出了一种分析方法来考虑侧壁对通过矩形微通道的固定等温气体流动的影响。该研究关注的是与通道高度这一临界最小尺寸相比，通道长度较大的压力梯度驱动流动。体速度的计算基于Stokes方程处理，并利用拉普拉斯算子的性质。当考虑壁面边界条件中关于Knudsen数的二阶项时，这种新方法仍然很容易使用。当应用于连接上游和下游高容量油藏的矩形截面微通道时，该方法具有很高的实际意义。沿着这样的系统测量的质量流量按照流量的平均克努森数拟合为一阶或二阶多项式形式。目前的计算也导致了t的一个完全显式的二阶表达式…
An analytical approach has been developed to take account of the influence of the lateral walls on a stationary isothermal gas flow through a rectangular microchannel. The study concerns pressure-gradient-driven flows in channels where the length is large compared to the critical smallest dimension, namely, the channel height. The calculation of the bulk velocity is based on the Stokes equation treatment and uses the property of the Laplace operator. This novel method remains very easy to use when the second order term with respect to the Knudsen number is taken into account in the wall boundary conditions. The method is notably of high practical interest when applied to rectangular-cross-section microchannels that connect upstream and downstream high capacity reservoirs. The mass flow rates measured along such systems are fitted to first or second order polynomial forms following the mean Knudsen number of the flow. The present calculation also leads to a completely explicit second order expression for t...