Abstract
Small particle trajectories are visualized in thermal counterflow using the particle tracking velocimetry technique, and the curvature of two-dimensional Lagrangian trajectories of different particle sizes is studied in relation to acceleration and velocity. It was found that the probability density function of curvature shows the same power-law tails independent of particle size, although the probability density function of vertical velocity depends on particle size.
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Data Availability Statement
Data are available on reasonable request.
Notes
L. Chen and Y. Tsuji. Statistical property of Lagrangian trajectory of small particles in super fluid He4. Poster presented at QFS2021; 10-14th and 16-19th August; Bangalore, India.
References
G.P. Bewley, D.P. Lathrop, K.R. Sreenivasan, Visualization of quantized vortices. Nature 441, 588 (2006)
M.S. Paoletti, R.B. Fiorito, K.R. Sreenivasan, D.P. Lathrop, Visualization of superfluid helium flow. J. Phys. Soc. Jpn. 77, 111007 (2008)
W. Guo, S.B. Cahn, J.A. Nikkel, W.F. Vinen, D.N. Mckinsey, Visualization study of counterflow in superfluid \(^{4}{{\rm He}}\) using metastable helium molecules. Phys. Rev. Lett. 105, 045301 (2010)
M.L. Mantia, L. Skrbek, Quantum or classical turbulence? Europhys. Lett. 105, 46002 (2014)
M.L. Mantia, L. Skrbek, Quantum turbulence visualized by particle dynamics. Phys. Rev. B 90, 014519 (2014)
W. Kubo, Y. Tsuji, Statistical properties of small particle trajectories in a fully developed turbulent state in He-\({{\rm II}}\). J. Low Temp. Phys. 196, 170 (2019)
W. Kubo, Y. Tsuji, Lagrangian trajectory of small particles in superfluid He \({{\rm II}}\). J. Low Temp. Phys. 187, 611 (2017)
W. Braun, F. De Lillo, B. Eckhardt, Geometry of particle paths in turbulent flows. J. Turbul. 7, 1 (2006)
H. Xu, N.T. Ouellette, E. Bodenschatz, Curvature of Lagrangian trajectories in turbulence. Phys. Rev. Lett. 98, 050201 (2007)
Y. Yang, M. Wan, W.H. Matthaeus, Y. Shi, T.N. Parashar, Q. Lu, S. Chen, Role of magnetic field curvature in magnetohydrodynamic turbulence. Phys. Plasmas 26, 072306 (2019)
Acknowledgments
This work was supported by JSPS KAKENHI Grant Numbers JP19H00747, JP19H00641. This work was also supported by JST SPRING, Grant Number JPMJSP2125. The experimental support by Mr. S.Waki was indispensable in our measurements.
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Sakaki, N., Maruyama, T. & Tsuji, Y. Statistics of the Lagrangian Trajectories’ Curvature in Thermal Counterflow. J Low Temp Phys 208, 418–425 (2022). https://doi.org/10.1007/s10909-022-02674-3
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DOI: https://doi.org/10.1007/s10909-022-02674-3