有限长度的过渡领域微槽道流动(—分析预测和试验的比较)(英文)

Finite length microchannel flow in transitional regime(—Analytical prediction compared with experiment)

在连续介质和滑流区有限长度槽道内的稳定气流,通过整体质量守恒规律得到了沿槽道轴向的压力分布和质量流率的分析表达式。在过渡领域区,也提供了槽道流动压力分布的严格的动理学理论解。在Poiseuille流动的质量流率动理学理论解给定的情况下,压力分布的控制方程被证实是被前一作者从轴承润滑问题移植到解微槽道问题的退化Reynolds方程。同时得到了质量流率分析表达式,它们和现有试验数据的比较相符很好。

In a steady finite length channel of gas flow, analytical expressions of the pressure distribution along the channel axis and of mass flow rate are obtained by the global mass conservation law for continuum and slip flow regimes. In the transitional flow regime a strict kinetic theoretical solution of the channel flow pressure distribution is also provided, when the kinetic theoretical solution of the mass flux for the Poiseuille flow is known, the equation governing the pressure distribution is shown to be the degenerated Reynolds equation transplanted by the senior author from the beating lubrication problem to the mierochannel problem. Analytical expression of the flow mass rate is also obtained and compared with the available experimental data and excellent agreement is obtained.