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将Cantor集分形引入到微通道粗糙表面形貌的构建中,建立了粗糙微通道内气体流动的理论模型,采用格子Boltzmann方法模拟研究了表面粗糙对微尺度气体流动的影响,比较了粗糙和光滑微通道内气体流动特性。研究结果表明,气体的稀薄程度对微通道内气体流动特性有重要影响。无论通道是否光滑,随着Knudsen数的增加,微通道内气体流动Poiseuille数都将随之减小,但粗糙微通道中气动Poiseuille数大于光滑微通道。另外,粗糙微通道内的气体流动Poiseuille数受统计粗糙高度变化的影响较大,受分形维数变化的影响则较弱。
The Cantor set fractal is introduced into the construction of microchannel rough surface topography. The theoretical model of gas flow in the rough microchannel is established. The effect of surface roughness on microscale gas flow is simulated by lattice Boltzmann method. The roughness and smoothness are compared Gas Flow Characteristics in Microchannels. The results show that the lean gas has an important influence on the gas flow in the microchannels. Regardless of the smoothness of the channel, as the Knudsen number increases, the Poiseuille number of the gas flow in the microchannel decreases, but the number of aerodynamic Poiseuille in the coarse microchannel is larger than that of the smooth microchannel. In addition, the Poiseuille numbers of the gas flow in the rough microchannels are greatly influenced by the change of the statistical roughness height, and the influence of the fractal dimension change is weak.