Hydrodynamic interactions between two slender tori in a viscous fluid

As a gift to Professor Bird, hydrodynamic interactions between two slender toroidal particles immersed in a viscous fluid are derived to extend the Rotne–Prager–Yamakawa (RPY) tensor formulation of bead‐spring and bead‐rod models of polymer kinetic theory to toroidal beads. As a relatively simple ex...

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Veröffentlicht in:AIChE journal 2014-04, Vol.60 (4), p.1517-1522
Hauptverfasser: Kim, Sangtae, Palaniappan, D.
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description As a gift to Professor Bird, hydrodynamic interactions between two slender toroidal particles immersed in a viscous fluid are derived to extend the Rotne–Prager–Yamakawa (RPY) tensor formulation of bead‐spring and bead‐rod models of polymer kinetic theory to toroidal beads. As a relatively simple example of a multiply connected domain, this model geometry exhibits the special “role of the hole” and features new tensorial constructs beyond the Oseen–Burgers and Stokes quadrupoles that are encountered in the classical RPY theory. © 2014 American Institute of Chemical Engineers AIChE J, 60: 1517–1522, 2014
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source Wiley Online Library Journals Frontfile Complete
subjects Beads
Chemical engineers
complex fluids
Computational fluid dynamics
Fluid flow
Fluid mechanics
Hydrodynamics
Kinetics
Mathematical analysis
microrheology
particulate flows
Polymers
Quadrupoles
rheology
Viscosity
Viscous fluids
title Hydrodynamic interactions between two slender tori in a viscous fluid
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