论文标题
关于散光粒子跟踪的校准，用于悬浮液的速度法
On the calibration of Astigmatism particle tracking velocimetryfor suspensions of different volume fractions
论文作者
论文摘要
在本研究中，我们首次证明了如何利用Astigmatism粒子跟踪速度法（APTV）来测量悬浮液动力学。在单分散，折射率匹配的悬浮液中成功执行了测量值，该悬浮液的体积分数为$φ= 19.9 \％$。为此，一小部分颗粒用荧光染料标记为粒子跟踪过程的示踪剂。校准结果表明，液体和颗粒的折射率略有偏差会导致相对于Unladen情况，校准曲线的形状变化很强。沿通道高度，这种效果变得更加严重。为了补偿校准曲线的形状变化，Brockmann等人开发的插值技术。 （在流体中进行的实验，61（2），67，\ citeyear {brockmann202020utilizing}）。使用此技术，将插值过程应用于6个不同体积分数的悬架，范围从$φ<0.01 \％$到$φ= 19.9 \％$。为了确定体积分数对方法的效果的影响，估计了在不同校准测量中获得的深度重建误差$σ_z$和测量量深度$Δz$。在这里，相对位置重建精度为$σ_z$/$ $ = 0.90 \％\％和$σ_z$/$ΔZ$ = 2.53 \％= 2.53 \％，用于稀释的校准粒子（$φ<0.01 \％\％\％$）和半dilute（$φ\ y off19.99.99 \％），可以实现标记的校准粒子（$φ<0.01 \％）。在直矩形通道中的层流层流中验证了测量技术，其横截面面积为2.55 $ \ times $ 30 \，mm $ $^2 $。平面内的不确定性为1.39 \％和3.34 \％，平面速度的不确定性为9.04 \％\％\％\％\％\％，相对于最大流速速度，以$ + <0.01 \％$ $ $ $ $和$φ= 19.9.9.9.9 \％\％\％\％\％\％，以最大的流速速度相对于最大流速速度。
In the present study we demonstrate for the first time how Astigmatism Particle Tracking Velocimetry (APTV) can be utilized to measure suspensions dynamics. Measurements were successfully performed in monodisperse, refractive index matched suspensions of up to a volume fraction of $Φ=19.9\%$. For this, a small percentage of the particles is labeled with fluorescent dye acting as tracers for the particle tracking procedure. Calibration results show, that a slight deviation of the refractive index of liquid and particles leads to a strong shape change of the calibration curve with respect to the unladen case. This effect becomes more severe along the channel height. To compensate the shape change of the calibration curves the interpolation technique developed by Brockmann et al. (Experiments in Fluids, 61(2), 67, \citeyear{brockmann2020utilizing}) is adapted. Using this technique, the interpolation procedure is applied to suspensions with 6 different volume fractions ranging from $Φ<0.01\%$ to $Φ=19.9\%$. To determine the effect of volume fraction on the perfomance of the method, the depth reconstruction error $σ_z$ and the measurement volume depth $Δz$, obtained in different calibration measurements, are estimated. Here, a relative position reconstruction accuracy of $σ_z$/$Δz$=0.90\% and $σ_z$/$Δz$=2.53\% is achieved for labeled calibration particles in dilute ($Φ<0.01\%$) and semi-dilute ($Φ\approx19.9\%$) suspensions, respectively. The measurement technique is validated for a laminar flow in a straight rectangular channel with a cross-sectional area of 2.55$\times$30\,mm$^2$. Uncertainties of 1.39\% and 3.34\% for the in-plane and 9.04\% and 22.57\% for the out-of-plane velocity with respect to the maximum streamwise velocity are achieved, at solid volume fractions of $Φ<0.01\%$ and $Φ=19.9\%$, respectively.
