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The sedimentation of a small particle through a fluid-filled pore of finite length (1988)

Shail, R. ; Warrilow, I. M.

Springer

Journal of engineering mathematics 22 (1988), S. 355-382

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ISSN: 1573-2703

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Technology

Notes: Abstract This paper investigates the axisymmetric sedimentation of a small slowly rotating and translating particle through a fluid-filled circular pore of finite length which communicates with two half-space chambers of fluid. In the quasi-steady Stokes approximation the particle is modelled by either a rotlet or Stokeslet, and potential-theoretic methods are used to reduce each problem to the solution of coupled infinite systems of linear equations. The numerical solutions of these sets of equations are used to compute approximations to the resistive torque and drag experienced by the particle.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00058514

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