2006
DOI: 10.1093/qjmam/hbj003
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Flow around nanospheres and nanocylinders

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Cited by 43 publications
(26 citation statements)
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“…Stokes flow past a swarm of porous circular cylinders with Happel's and Kuwabara's boundary conditions was discussed by Deo [46]. The flow around nanospheres and nanocylinders was investigated by Mathews and Hill [18] and they employed a boundary condition that attempts to account for boundary slip due to the tangential shear at the boundary using a slip length parameter. Palaniappan et al [47] studied the two dimensional Stokes flow around permeable cylinders.…”
Section: Cell Models: Cylindrical Particlesmentioning
confidence: 99%
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“…Stokes flow past a swarm of porous circular cylinders with Happel's and Kuwabara's boundary conditions was discussed by Deo [46]. The flow around nanospheres and nanocylinders was investigated by Mathews and Hill [18] and they employed a boundary condition that attempts to account for boundary slip due to the tangential shear at the boundary using a slip length parameter. Palaniappan et al [47] studied the two dimensional Stokes flow around permeable cylinders.…”
Section: Cell Models: Cylindrical Particlesmentioning
confidence: 99%
“…The surface indentations not only make the ball go further but its flight is more predictable than that of an equivalent ball with а smooth surface. Really, the reduced drag is one consequence predicted from the analysis presented by Matthews and Hill [18].…”
mentioning
confidence: 91%
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“…If we denote with and the unit vectors of the local magnetic field and particle relative velocity with respect to the liquid flow respectively, the drag force acting upon a ferromagnetic nanocylinder oriented parallel to the magnetic field direction can be written as (3) Analytical expressions for and may be obtained by approximating the cylinder with prolate spheroids or elongated rods [10], [11]. As the magnetic objects reduce theirs dimensions, Navier boundary conditions must be considered at the solid-liquid interface and (3) has to be corrected by a factor that takes into account the finite value of the slip length at the transition toward the nanoscale regime [12].…”
Section: Theoretical Considerationsmentioning
confidence: 99%