Generalization of the Rotne–Prager–Yamakawa mobility and shear disturbance tensors

Abstract The Rotne–Prager–Yamakawa approximation is one of the most commonly used methods of including hydrodynamic interactions in modelling of colloidal suspensions and polymer solutions. The two main merits of this approximation are that it includes all long-range terms (i.e. decaying as ${R}^{- 3} $ or slower in interparticle distances) and that the diffusion matrix is positive definite, which is essential for Brownian dynamics modelling. Here, we extend the Rotne–Prager–Yamakawa approach to include both translational and rotational degrees of freedom, and derive the regularizing corrections to account for overlapping particles. Additionally, we show how the Rotne–Prager–Yamakawa approximation can be generalized for other geometries and boundary conditions.

• Publication year

  2013

• Venue

  Journal of Fluid Mechanics

• Publication date

  2013-07-27

• Fields of study

  Materials Science, Physics

• Identifiers
  DOI 10.1017/jfm.2013.402arXiv 1307.7312
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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