Journal ArticleDOI
The drag on two spheres in contact in the slip flow regime
TLDR
In this article, the drag on two equal spheres in rigid contact falling along their line of centres is calculated in the slip flow regime, and a useful interpolation formula is derived by means of a variational principle.Abstract:
The drag on two equal spheres in rigid contact falling along their line of centres is calculated in the slip flow regime. Standard viscous flow theory is employed with the necessary slip boundary conditions. The drag is seen to depend on the ratioλ=l/a wherel is the mean free path of an atom in the surrounding gas and ‘a’ is the radius of the sphere. Two exact limiting cases are obtained for the drag, viz: smallλ and largeλ, and a useful interpolation formula is derived by means of a variational principle. The equivalent sphere approximation is found to give satisfactory results.read more
References
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Low Reynolds number hydrodynamics
John Happel,Howard Brenner +1 more
TL;DR: Low Reynolds number flow theory finds wide application in such diverse fields as sedimentation, fluidization, particle-size classification, dust and mist collection, filtration, centrifugation, polymer and suspension rheology, and a host of other disciplines.
Journal ArticleDOI
The slow motion of a sphere through a viscous fluid towards a plane surface
TL;DR: In this paper, bipolar co-ordinates are employed to obtain exact solutions of the equations of slow viscous flow for the steady motion of a solid sphere towards or away from a plane surface of infinite extent.
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The method of weighted residuals and variational principles
TL;DR: In this article, the method of Weighted Residuals is used to solve boundary-value problems in heat and mass transfer problems, and convergence and error bounds are established.
Journal ArticleDOI
The Motion of Two Spheres in a Viscous Fluid
Margaret Stimson,G. B. Jeffery +1 more
TL;DR: In this paper, the authors determined the motion set up in a viscous fluid at rest at infinity by two solid spheres (equal or unequal) moving with equal small constant velocities parallel to their line of centres.
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