Notes on factitious shear work of slip flow in a channel
Notes on factitious shear work of slip flow in a channel
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关于河道滑流人为剪切功的注记
DOI：
10.1016/j.ijheatmasstransfer.2018.08.008
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发表时间：
2018
影响因子：
5.2
通讯作者：
Hong Chungpyo
中科院分区：
文献类型：
--
作者：
Asako Yutaka;Hong Chungpyo
在大气条件下，在特征长度小于10 μm的微尺度通道中观察到了气体滑移流动。为了分析滑移流，求解了具有粘性耗散项的能量方程，其中边界条件包括由于壁面滑移而产生的功滑动剪切功项，以补偿能量平衡。最近，一种替代方法，它使用的边界条件，不包括factor-sliding剪切功项已被提出。然而，似乎滑流的物理学还没有被研究人员正确理解。在本文中，以澄清这个问题，一个非常简单的配置，一个稳态层流滑移流动的流体动力学充分发展的区域的圆形微管与绝热壁，被认为是。此外，假设流体的所有热物理性质是恒定的。利用壁面滑移流速度的不连续性，对能量方程的边界条件进行了理论论证。
Gas slip flow is observed in a micro scale channel whose characteristic length is less than about 10 μm under atmospheric conditions. To analyze the slip flow, the energy equation with the viscous dissipation term is solved with a boundary condition which includes a factitious sliding shear work term due to the slip at the wall to compensate the energy balance. Recently, an alternate method which uses the boundary condition without inclusion of the factitious sliding shear work term has been proposed. However, it seems that physics of the slip flow has not been properly understood by researchers. In this paper to clarify the issue, a very simple configuration, a steady state laminar slip flow in a hydro-dynamically fully developed region of a circular micro-tube with an adiabatic wall, is considered. Also all thermo-physical properties of the fluid are assumed to be constant. Theoretical justification to the boundary condition of the energy equation is provided using the discontinuity of the velocity of the slip flow on the wall.