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首页> 外文期刊>International journal of micro-nano scale transport >A Critical Assessment of the Maxwell Slip Boundary Condition for Rarified Wall Bounded Flows
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A Critical Assessment of the Maxwell Slip Boundary Condition for Rarified Wall Bounded Flows

机译：粗糙壁有界流的麦克斯韦滑移边界条件的临界评估

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摘要

The Maxwell slip boundary condition is widely used to compute the slip velocity at the wall under rarefied flow condition. In this paper, we apply the Direct Simulation Monte Carlo (DSMC) method on a Couette flow problem in order to evaluate this boundary condition. The computations are performed at different values of tangential momentum accommodation coefficient (between 0.1 and 1) and Knudsen numbers (Kn between 0.001 and 3), at 500 K for Argon, with the aim of comparing the ensuing slip length to that predicted by Maxwell's formula. It is found that the boundary condition is accurate up to a Kn = 0.1 but not at higher Knudsen numbers. Although it has been known that the slip boundary condition is valid only for small Knudsen numbers, the critical Knudsen number from where the deviation begins is not well documented. The present results indicate that such deviations occur at Kn = 0.1 in flows that are bounded by opposing walls. At higher Knudsen numbers, the Knudsen layers overlap and the collisions of molecules with walls dominate to change the boundary conditions significantly.
机译：麦克斯韦滑移边界条件被广泛用于计算稀少流动条件下墙体的滑移速度。在本文中，我们将直接模拟蒙特卡罗（DSMC）方法应用于Couette流问题，以评估该边界条件。对于氩气，在500 K时，在切线动量调节系数（0.1和1之间）和Knudsen数（Kn在0.001和3之间）的不同值下进行计算，目的是将随后的滑移长度与Maxwell公式预测的滑移长度进行比较。发现边界条件在Kn = 0.1时是准确的，但在更高的克努森数下不是正确的。尽管已经知道滑移边界条件仅对小Knudsen数有效，但是没有很好地记录偏离开始的临界Knudsen数。目前的结果表明，在以相对壁为边界的流中，这种偏差发生在Kn = 0.1处。在较高的努森数下，努森层重叠并且分子与壁的碰撞占主导地位，以显着改变边界条件。

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