Taylor–Dean flow through a curved duct of square cross section

2004 ◽  
Vol 35 (2) ◽  
pp. 67-86 ◽  
Author(s):  
Kyoji Yamamoto ◽  
Xiaoyun Wu ◽  
Toru Hyakutake ◽  
Shinichiro Yanase
2004 ◽  
Vol 2004.42 (0) ◽  
pp. 361-362
Author(s):  
Kyoji YAMAMOTO ◽  
Xiaoyun WU ◽  
Toru HYAKUTAKE ◽  
Shinichiro YANASE

2006 ◽  
Vol 72 (717) ◽  
pp. 1116-1124
Author(s):  
Toru HYAKUTAKE ◽  
Takuya ASAHARA ◽  
Ken KADOWAKI ◽  
Kyoji YAMAMOTO ◽  
Shinichiro YANASE

2006 ◽  
Vol 38 (1) ◽  
pp. 1-18 ◽  
Author(s):  
Kyoji Yamamoto ◽  
Xiaoyun Wu ◽  
Kazuo Nozaki ◽  
Yasutaka Hayamizu
Keyword(s):  

2019 ◽  
Vol 875 ◽  
pp. 1-43 ◽  
Author(s):  
Brendan Harding ◽  
Yvonne M. Stokes ◽  
Andrea L. Bertozzi

We develop a model of the forces on a spherical particle suspended in flow through a curved duct under the assumption that the particle Reynolds number is small. This extends an asymptotic model of inertial lift force previously developed to study inertial migration in straight ducts. Of particular interest is the existence and location of stable equilibria within the cross-sectional plane towards which particles migrate. The Navier–Stokes equations determine the hydrodynamic forces acting on a particle. A leading-order model of the forces within the cross-sectional plane is obtained through the use of a rotating coordinate system and a perturbation expansion in the particle Reynolds number of the disturbance flow. We predict the behaviour of neutrally buoyant particles at low flow rates and examine the variation in focusing position with respect to particle size and bend radius, independent of the flow rate. In this regime, the lateral focusing position of particles approximately collapses with respect to a dimensionless parameter dependent on three length scales: specifically, the particle radius, duct height and duct bend radius. Additionally, a trapezoidal-shaped cross-section is considered in order to demonstrate how changes in the cross-section design influence the dynamics of particles.


2003 ◽  
Vol 2003.41 (0) ◽  
pp. 77-78
Author(s):  
Ken KADOWAKI ◽  
Kyoji YAMAMOTO ◽  
Shinichiro YANASE ◽  
Yoshito KAGA

1999 ◽  
Vol 68 (4) ◽  
pp. 1173-1184 ◽  
Author(s):  
Kyoji Yamamoto ◽  
Shinichiro Yanase ◽  
Md. Mahmud Alam

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