空气动力学学报
空氣動力學學報
공기동역학학보
ACTA AERODYNAMICA SINICA
2008年
2期
257-262
,共6页
微槽道%整体质量守恒规律%动理学理论解
微槽道%整體質量守恆規律%動理學理論解
미조도%정체질량수항규률%동이학이론해
microchannel%global mass conservation law%kinetic theoretical solution
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.
在連續介質和滑流區有限長度槽道內的穩定氣流,通過整體質量守恆規律得到瞭沿槽道軸嚮的壓力分佈和質量流率的分析錶達式.在過渡領域區,也提供瞭槽道流動壓力分佈的嚴格的動理學理論解.在Poiseuille流動的質量流率動理學理論解給定的情況下,壓力分佈的控製方程被證實是被前一作者從軸承潤滑問題移植到解微槽道問題的退化Reynolds方程.同時得到瞭質量流率分析錶達式,它們和現有試驗數據的比較相符很好.
재련속개질화활류구유한장도조도내적은정기류,통과정체질량수항규률득도료연조도축향적압력분포화질량류솔적분석표체식.재과도영역구,야제공료조도류동압력분포적엄격적동이학이론해.재Poiseuille류동적질량류솔동이학이론해급정적정황하,압력분포적공제방정피증실시피전일작자종축승윤활문제이식도해미조도문제적퇴화Reynolds방정.동시득도료질량류솔분석표체식,타문화현유시험수거적비교상부흔호.
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 bearing lubrication problem to the microchannel problem.Analytical expression of the flow mass rate is also obtained and compared with the available experimental data and excellent agreement is obtained.