Boundary velocity slip of pressure driven liquid flow in a micron pipe

Boundary velocity slip of pressure driven liquid flow in a micron pipe
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微米管道中压力驱动液体流动的边界速度滑移

DOI:
10.1007/s11434-010-4188-y
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发表时间:
2011-04
期刊:
科学通报(英文版)
影响因子:
--
通讯作者:
Zhou JianFeng
Zhou JianFeng
中科院分区:
其他
文献类型:
--
作者:
Gu BoQin;Shao ChunLei;Zhou JianFeng

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气体在微米尺度通道中的速度滑移现象已被广泛认识。对于压力驱动的液体在宏观管道中的流动,通常忽略壁面边界处的微小速度滑移。随着流道横截面尺寸的减小,速度滑移对流动和传热特性的影响越来越明显。基于Hamaker均质材料三大假设,建立了固液分子团间作用力的计算方法。通过对管壁附近液群的受力分析,发现粗糙固体壁面产生的主动力可以提供抵抗剪切力的分力,使液群保持不动。在此基础上提出了速度滑移判据。考虑到滑移液体群的力平衡,可以得到固体壁面引起的摩擦力,然后利用导出的摩擦系数可以计算液体群的速度。研究表明,在微米管道中,当流动压力梯度较大时,可能会出现较小的速度滑移,这将导致管道流量估计的误差。
The velocity slip of gas flow in a micron channel has been widely recognized. For pressure driven liquid flow in a macro pipe, the minute velocity slip at the wall boundary is usually neglected. With a decreasing scale in the cross section of the flow passage, the effect of velocity slip on flow and heat transfer behaviors becomes progressively more noticeable. Based on the three Hamaker homogeneous material hypotheses, the method for calculating the acting force between the solid and liquid molecular groups is established. By analyzing the forces exerted on the liquid group near the pipe wall, it is found that the active force arising from the rough solid wall can provide the component force to resist the shearing force and keep the liquid group immobile. Based on this a velocity slip criterion is proposed. Considering the force balance of a slipping liquid group, the frictional force caused by the solid wall can be obtained and then the velocity of the liquid group can be calculated using the derived coefficient of friction. The investigation reveals that, in a micron pipe, a small velocity slip may occur when the flow pressure gradient is relatively large, and will cause errors in the pipe flow estimates.
DOI: 10.1103/physreva.41.6830
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