用扭转超声振荡器测量牛顿流体的滑移率
Measurement of Newtonian fluid slip using a torsional ultrasonic oscillator
摘要：
复合扭转超声振荡器是一种多功能的实验系统，可用于研究牛顿流体在光滑表面上的滑移。对振子的滑移相关阻尼进行了严格的分析。首先，有限表面滑移的现象和滑移长度被认为是一个半空间的牛顿流体与一个光滑的，振荡的固体表面接触。根据文献中的不一致之处，对定义进行了重新审查和澄清。我们指出，在一般的振荡流动中，Navier滑移长度b是一个复数.用一个直观的非约束相速度间断参数来描述滑移对粘性剪切阻尼测量的影响。该分析应用到复合振荡器和40 kHz振荡器的初步实验工作。已验证了水中疏水表面的防滑边界条件（NSBC），其在|b| =0 nm的~60 nm范围内。实验在230和6800 /s之间的剪切速率振幅下进行，对应于3.2和96 nm之间的线性位移振幅。
英文摘要：
The composite torsional ultrasonic oscillator, a versatile experimental system, can be used to investigate slip of Newtonian fluid at a smooth surface. A rigorous analysis of slip-dependent damping for the oscillator is presented. Initially, the phenomenon of finite surface slip and the slip length are considered for a half-space of Newtonian fluid in contact with a smooth, oscillating solid surface. Definitions are revisited and clarified in light of inconsistencies in the literature. We point out that, in general oscillating flows, Navier's slip length b is a complex number. An intuitive velocity discontinuity parameter of unrestricted phase is used to describe the effect of slip on measurement of viscous shear damping. The analysis is applied to the composite oscillator and preliminary experimental work for a 40 kHz oscillator is presented. The Non-Slip Boundary Condition (NSBC) has been verified for a hydrophobic surface in water to within ~60 nm of |b|=0 nm. Experiments were carried out at shear rate amplitudes between 230 and 6800 /s, corresponding to linear displacement amplitudes between 3.2 and 96 nm.
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