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首页> 外文期刊>International Journal of Heat and Mass Transfer >The flow factor approach model for the fluid flow in a nano channel
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The flow factor approach model for the fluid flow in a nano channel

机译：纳米通道中流体流动的流量因子方法模型

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The flow factor approach model was re-visited for the fluid flow in a nano slit pore. According to this model, the velocity profiles of the Couette and Poiseuille flows of a confined fluid were respectively calculated for different fluid-wall interactions and different wall separations. The calculation showed that the velocity profile across the film thickness of the Couette flow of a confined fluid is normally considerably distorted because of the fluid-wall interaction, compared with the conventional theory description. Such a distortion is more severe for a smaller wall separation. However, the calculated average velocity across the film thickness of the confined fluid in the Couette flow is still equal to that calculated from the conventional theory. For the same pressure gradient, the magnitude of the velocity of the Poiseuille flow calculated from this model is normally significantly smaller than that calculated from the conventional theory. Such a deviation is more severe for a stronger fluid-wall interaction. As a combined effect, the total volume flow rate through the wall gap of the confined fluid is greater than that calculated from the conventional theory when the Couette and Poiseuille flows are in contrary directions, while it is smaller than that calculated from the conventional theory when these two flows are in the same direction. Such differences are greater for stronger fluid-wall interactions. This may be one of the reasons why the generated hydrodynamic pressures and load-carrying capacity of a molecular-scale film lubricated contact both are greater than those calculated from conventional hydrodynamic lubrication theory. The results calculated from this model were compared with the molecular dynamics simulation results for the same operating conditions. Very good agreements between them were obtained.
机译：对于纳米缝隙孔中的流体流动，重新访问了流量因子方法模型。根据该模型，分别针对不同的流体-壁相互作用和不同的壁间距，计算了承压流体的库埃特流和泊瓦伊流的速度分布。计算表明，与传统的理论描述相比，由于流体-壁之间的相互作用，在密闭流体的库埃特流的整个薄膜厚度上的速度分布通常会大大扭曲。对于较小的壁间距，这种变形更为严重。但是，在库埃特流中，在密闭流体的整个膜厚范围内计算出的平均速度仍等于根据常规理论计算出的平均速度。对于相同的压力梯度，从该模型计算出的泊瓦电流的速度大小通常明显小于从传统理论计算出的速度。对于更强的流体-壁相互作用，这种偏离更为严重。综合起来，当库埃特流和泊瓦伊流向相反时，通过密闭流体壁隙的总体积流率要比传统理论计算的要大，而当流体流向相反方向时，总体积流率要小于传统理论计算的总流率。这两个方向是相同的。对于更强的流体-壁相互作用，这种差异更大。这可能是为什么分子尺度的薄膜润滑接触所产生的流体动力压力和承载能力均大于常规流体动力润滑理论所计算出的那些原因的原因之一。从该模型计算出的结果与相同操作条件下的分子动力学模拟结果进行了比较。他们之间达成了很好的协议。

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