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Effect of flexibility on the shear-induced migration of short-chain polymers in parabolic channel flow

  • DAVID SAINTILLAN (a1), ERIC S. G. SHAQFEH (a1) (a2) (a3) and ERIC DARVE (a1) (a3)

Abstract

We use Brownian dynamics to investigate the effect of chain flexibility on the cross-streamline migration of short polymers in a pressure-driven flow between two infinite flat plates. A simulation method is described that models a polymer molecule at the Kuhn step level as a chain of $N$ freely jointed Brownian rods, and includes multibody hydrodynamic interactions between the chain segments and the surrounding channel walls. Our study confirms the existence of shear-induced migration away from the solid boundaries toward the channel centreline as a result of wall hydrodynamic interactions. At a fixed ratio $H/R_{g}$ of the channel width to the bulk radius of gyration, and at a fixed value of the Weissenberg number $Wi$, simulations show that migration is not significantly influenced by flexibility for chains of length $N\,{\ge}\, 2$. Much weaker migration is observed however for fully rigid chains ($N\,{=}\,1$), and a mechanism is discussed to explain migration in that case.

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Effect of flexibility on the shear-induced migration of short-chain polymers in parabolic channel flow

  • DAVID SAINTILLAN (a1), ERIC S. G. SHAQFEH (a1) (a2) (a3) and ERIC DARVE (a1) (a3)

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