Hydrodynamic interaction of two spherically symmetric polymers

Reuland, P.; Felderhof, B. U.; Jones, Robert B.

doi:10.1016/0378-4371(78)90167-x

Cited by 60 publications

(47 citation statements)

References 11 publications

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“…This equation has the formal solution 19) where v°(k) is the solution of eq. (2.16) in the absence of induced forces and is therefore the velocity field unperturbed by the presence of the N spheres.…”

Section: Fi(k)mentioning

confidence: 99%

Many-sphere hydrodynamic interactions and mobilities in a suspension

Mazur¹,

Saarloos²

1982

Physica A: Statistical Mechanics and its Applications

317

155

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Section: Fi(k)mentioning

confidence: 99%

Many-sphere hydrodynamic interactions and mobilities in a suspension

Mazur¹,

Saarloos²

1982

Physica A: Statistical Mechanics and its Applications

317

155

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“…For most of the following applications, we have considered the three possibilities regarding hydrodynamic interactions described in the previous section: the detailed treatment, using the series expansions of Reuland et al 15 …”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…In a previous paper,13 we used the results of Reuland et al 15 for the two-sphere problem in the analysis of a rigid dumbbell. Such analysis is now extended to the hinged dumbbell.…”

Section: Detailed Treatment Of Hydrodynamic Interactionsmentioning

confidence: 98%

Diffusion coefficients of segmentally flexible macromolecules with two sphrical subunits

1985

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SynopsisThe translational and rotational diffusion coefficients have been calculated for a simple, segmentally flexible model: the hinged dumbbell (HD). In the HD, two spherical subunits are attached to an universal joint by means of frictionless connectors. In addition to the case in which hydrodynamic interactions are neglected (NU, we have also considered two more cases, including hydrodynamic interaction by means of the Kirkwood-Riseman approximate treatment (KR) and using a more accurate procedure based in the series expansions for the two-sphere diffusion tensor (SE). Expressions for the friction coefficients of the HD are given for the three cases, and the diffusion coefficients are evaluated inverting the 9 x 9 resistance matrix, for two HDs with different dimensions. The KR treatment, which includes a contribution from the finite volume of the subunits, is shown to be an excellent approximation to the more rigorous procedure. In the NI case for rotation, the various coefficients present different deviations with respect to the SE results. A rough estimate of the errors of the NI relaxation times indicates that they may be smaller than 15% for a HD with identical beads. However, the influence of hydrodynamic interaction should be more important for the rotational diffusivity of a small sphere attached to a larger one. The error of the NI result for the translational diffusion coefficient is of about 25% for the two HDs.

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“…The method of reflections was widely used by many authors (Kynch, 1959;Batchelor and Green, 1972;Batchelor, 1976;Felderhof, 1977;Reuland and Felderhof, 1978;Jeffrey and Onishi, 1984b;Happel and Brenner, 1986) to solve the two-sphere problem. Among them, Felderhof (1977) evaluated the hydrodynamic interaction tensor for two equal-sized spheres under general slip-stick boundary conditions and carried the series expansions for the translational mobility tensors through terms of order R -', where R is the separation distance between the two spheres.…”

Section: Continuum-flow Resultsmentioning

confidence: 99%

Interparticle and Particle-Surface Gas Dynamic Interactions

Ying

Peters

1991

Aerosol Science and Technology

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The problems of the gas dynamic interactions of two ber) flows. For intermediate and large Knudsen numspherical particles and a single spherical particle with a ber (free-molecule) flows, these functions are only plane wall are reviewed here. The resistance and mobilknown in their asymptotic limit of infinitely large interity functions that describe the relationship between the particle or particle-wall separation distances (isolated forces and torques acting on the spheres with their particles). Potentially useful analytical and computatranslational and angular velocities are summarized for tional methods to treat these regimes are also reviewed. continuum and near-continuum (small Knudsen num-

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Hydrodynamic interaction of two spherically symmetric polymers

Cited by 60 publications

References 11 publications

Many-sphere hydrodynamic interactions and mobilities in a suspension

Many-sphere hydrodynamic interactions and mobilities in a suspension

Diffusion coefficients of segmentally flexible macromolecules with two sphrical subunits

Interparticle and Particle-Surface Gas Dynamic Interactions

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