1989
DOI: 10.1017/s0022112089001564
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Inertial migration of a sphere in Poiseuille flow

Abstract: The inertial migration of a small sphere in a Poiseuille flow is calculated for the case when the channel Reynolds number is of order unity. The equilibrium position is found to move towards the wall as the Reynolds number increases. The migration velocity is found to increase more slowly than quadratically. These results are compared with the experiments of Segré & Silberberg (1962 a, b).

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Cited by 324 publications
(345 citation statements)
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“…In a tube flow, initially randomly distributed particles gradually focus into a narrow annulus at around 0.3 diameter, resulting in the "tubular pinch" effect. This phenomenon was later confirmed in several experimental Matas et al 2004) and analytical (Schonberg & Hinch 1989) and numerical (Feng et al 1994;Yang et al 2005) studies. Similar phenomenon occurs in square-and rectangular-shaped channels, where particles accumulate at 0.3 times the width of the channel away from the centreline (Chun & Ladd 2006;Kim & Yoo 2008;Shao et al 2008;Choi et al 2011).…”
Section: Introductionmentioning
confidence: 55%
“…In a tube flow, initially randomly distributed particles gradually focus into a narrow annulus at around 0.3 diameter, resulting in the "tubular pinch" effect. This phenomenon was later confirmed in several experimental Matas et al 2004) and analytical (Schonberg & Hinch 1989) and numerical (Feng et al 1994;Yang et al 2005) studies. Similar phenomenon occurs in square-and rectangular-shaped channels, where particles accumulate at 0.3 times the width of the channel away from the centreline (Chun & Ladd 2006;Kim & Yoo 2008;Shao et al 2008;Choi et al 2011).…”
Section: Introductionmentioning
confidence: 55%
“…All cases are found to yield a solid-solid clash within a finite scaled time. This can be contrasted and compared with the interesting findings of Yih [34], Korobkin [35], Korobkin & Ohkusu [36], Schonberg & Hinch [19], Newman [37], Tuck [38], Fortes et al [39], Huang et al [40], Yang et al [41] and Ardekani et al [42]. The typical present clash occurs mid-body instead of at the leading edge as in Smith & Ellis [32] and this new form is examined in detail in § §3 and 4.…”
Section: Introductionmentioning
confidence: 82%
“…The industrial applications are manifold including in particular ship slamming, sloshing and granular flows on chutes [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. There is also a huge number of biomedical applications [21][22][23][24][25][26][27][28][29][30][31], while sports applications are such as in skeleton bobsleigh.…”
Section: Introductionmentioning
confidence: 99%
“…6). In the fluid dynamical regime of bacteria, mechanisms including inertia, buoyancy and deformation that otherwise lead to the accumulation of particles 25 , bubbles 26 or red blood cells 27 , are insignificant or exceedingly slow (Supplementary Information). Instead, shearinduced trapping occurs as a result of self-propulsion, which drives cell accumulations within a timescale governed by the swimming speed and the flow length scale.…”
mentioning
confidence: 99%