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  Inclined Wall Effects on the Low Reynolds Number Motion of a Chiral Filament
 
 
Titel: Inclined Wall Effects on the Low Reynolds Number Motion of a Chiral Filament
Auteur: Kim, Youn J.
Rae, William J.
Verschenen in: Aerosol science and technology
Paginering: Jaargang 37 (2003) nr. 2 pagina's 122-132
Jaar: 2003-02
Inhoud: The trajectories of a single rigid particle settling under gravity in a quiescent fluid are studied in this article. The particle is sufficiently small and its motion relative to the surrounding fluid satisfies the conditions for local Stokes flow. Thus force and torque on the particle are linearly related to the local flow conditions. The resistance tensors relating the force and torque on the particle to its translational and angular velocities are found in terms of distributions of singularities along the centerlines of the particle itself and an image particle on the opposite side of the inclined wall. The solution of the no-wall problem can be found, for slender filaments, by the formulation of the flow field in terms of a singularity distribution of stokeslets along the filament according to the integral equation found by Johnson (1977, 1980). This equation can be solved by a direct matrix inversion technique. On the other hand, the velocity field solution to the near-wall problem requires both the stokeslet distribution and a set of singularities distributed along the centerline of a mirror image of the filament behind the inclined wall. The time variations of the orientation angles and the center of mass location of a particle have been determined by using a fourth-order Runge-Kutta scheme.
Uitgever: Taylor & Francis
Bronbestand: Elektronische Wetenschappelijke Tijdschriften
 
 

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