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MODELING OF FLOW CHARACTERISTIC AND HEAT TRANSFER FOR MICRO COUETTE FLOW

机译:微表观流的流动特性和传热模型

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摘要

Gaseous flow encountered in microano electromechanical systems experiences change in Kn number across a wide range of flow regime due to variation in characteristic length in the system and significant compressibility of the rarefied gas. In this study, we attempt to develop a general, physics-based model to predict the flow and heat transfer in the slip and transition regimes. Such an extension is constructed on the fact that Chapman-Enskog's approximation of the Boltzmann equation can be revised using a function of Kn number as a perturbation. Velocity slip and temperature jump at the solid boundaries are modified accordingly. Rarefaction effects on dynamic viscosity and thermal conductivity are considered. As a first step to evaluate the model, it is applied to the simplest shear-driven flow, micro Couette flow. Compared with the results of DSMC, satisfactory agreement has been achieved in a wide range of Kn and Ma numbers.
机译:由于系统中特征长度的变化和稀薄气体的显着可压缩性,在微/纳米机电系统中遇到的气流会在宽范围的流态中经历Kn值的变化。在这项研究中,我们尝试建立一个基于物理学的通用模型,以预测滑移和过渡状态下的流动和传热。这样的扩展是基于这样的事实,即可以使用Kn数的函数作为扰动来修正Chapman-Enskog的Boltzmann方程近似。相应地修改了实心边界处的速度滑移和温度跳变。考虑了反射对动态粘度和导热率的影响。评估模型的第一步是将其应用于最简单的剪切驱动流微库埃特流。与DSMC的结果相比,在广泛的Kn和Ma数范围内已达成令人满意的协议。

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