2019
DOI: 10.1103/physreve.100.022102
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Three-dimensional observation of Brownian particles under steady shear flow by stereo microscopy

Abstract: Three-dimensional observation of Brownian particles under shear flow is performed with a stereo microscope to examine the nature of the Brownian motion that occurs in the presence of shear flow. From the threedimensional trajectories of the particles, we clearly demonstrate the occurrence of anomalous diffusion in the flow direction and the coupling of the displacements in the flow and velocity gradient directions. Furthermore, we experimentally obtain the probability distribution function and current density,… Show more

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Cited by 8 publications
(5 citation statements)
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“…One possible explanation could be the Brownian motion of the nanoparticles. In shear flow, the Brownian motion exhibits anomalous (higher) di↵usion in the flow direction, modifying the mean square displacement from a proportionality with time t (as in the neutral direction) to t 3 [47,48].…”
Section: Splashing Transition Correlationmentioning
confidence: 99%
See 1 more Smart Citation
“…One possible explanation could be the Brownian motion of the nanoparticles. In shear flow, the Brownian motion exhibits anomalous (higher) di↵usion in the flow direction, modifying the mean square displacement from a proportionality with time t (as in the neutral direction) to t 3 [47,48].…”
Section: Splashing Transition Correlationmentioning
confidence: 99%
“…One possible explanation could be the Brownian motion of the nanoparticles. In shear flow, the Brownian motion exhibits anomalous (higher) diffusion in the flow direction, modifying the mean square displacement from a proportionality with time t (as in the neutral direction) to t 3 [47,48]. The feedback between the lower diffusivity of the nanoparticles compared to the fluid molecules, higher inertia of the particles and hydrodynamic interactions modifies the lamella velocity and hence the gas stress.…”
Section: Splashing Transition Correlationmentioning
confidence: 99%
“…With technology to visualize sub-micron scale particles, calculations of diffusion quantification under shear flow have also been experimentally verified (Derksen and van de Water 1990 ). Using 2D planar and 3D stereo imaging systems can visualize the exact trajectories of particles exhibiting Brownian motion, fully capable of characterizing the diffusion aspect of particles under various types of flow (Orihara and Takikawa 2011 ; Takikawa et al 2019 ).…”
Section: Introductionmentioning
confidence: 99%
“…With technology to visualize sub-micron scale particles, calculations of diffusion quanti cation under shear ow have also been experimentally veri ed (Derksen and van de Water 1990). The exact movements of Brownian particles can be visualized using 2D planar and 3D stereo imaging systems, which are fully capable of characterizing the diffusion aspect of particles under various types of ow (Orihara and Takikawa 2011;Takikawa et al 2019).…”
Section: Introductionmentioning
confidence: 99%