Electro-Osmosis of Polymer Solutions: Linear and Nonlinear by Yuki Uematsu

By Yuki Uematsu

This thesis specializes in the theoretical description of electro-osmosis of polymer strategies. particularly, it emphasizes the significance of contemplating non-uniform profiles of the answer viscosity and polymer focus close to a great surface.

The thesis starts off with an creation to primary theories and experimental observations for newbies during this box, relating electrolyte suggestions, electrical double layers, and electrokinetics. In bankruptcy 2, the writer discusses the linear reaction of electro-osmotic circulation with admire to utilized electrical fields in aqueous polyelectrolyte suggestions, and predicts possible of move reversal attributable to oppositely charged polyelectrolytes adsorbed on a charged floor. In bankruptcy three, the writer extends the dialogue to non-linear electro-osmotic stream pushed via utilized electrical fields in impartial polymer recommendations. The dynamics of polymers are modeled and simulated utilizing Brownian dynamics and kinetic conception. eventually, the thesis is summarized in bankruptcy 4.

The creation offers a finished evaluate of electrokinetics for graduate scholars and researchers attracted to delicate subject physics. an extra appeal is that readers can successfully study a number of theoretical ways to electro-osmosis.

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Chem. Phys. 142, 044706 (2015) J. Lyklema, Colloid Surf. A 92, 41–49 (1994) J. Lyklema, J. Colloid Int. Sci. J. Bonthuis, S. R. Netz, Phys. Rev. Lett. J. R. Netz, J. Phys. Chem. J. Flory, Principles of Polymer Chemistry (Cornell University Press, Ithaca, 1953) M. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, New York, 1986) K. C. R. J. Flory, J. Am. Chem. Soc. N. S. Rowlinson, Trans. Faraday Soc. G. R. Netz, D. Andelman, Phys. Rep. F. Joanny, L. G. de Gennes, J. Polym. Sci.

R. Aluru, Phys. Rev. Lett. 92, 198301 (2004) 49 Chapter 3 Nonlinear Electro-Osmosis of Uncharged Polymer Solutions with Low Ionic Strength Abstract Nonlinear electro-osmotic behaviour of dilute non-adsorbing polymer solutions with low salinity is investigated using Brownian dynamics simulations and a kinetic theory. In the Brownian simulations, the hydrodynamic interaction between the polymers and a no-slip wall is considered using the Rotne-Prager approximation of the Blake tensor. In a plug flow under a sufficiently strong applied electric field, the polymer migrates toward the bulk, forming a depletion layer thicker than the equilibrium one.

12) becomes zψ μ = εε0 0 = εε0 dz dψ η(z ) dz ψM ψ0 |zz ψ dz dψ η(z ) dz dψ . 26) Here we should note that the paths of the two integrals in Eq. 26) differ from each other. According to linear analysis, the electrostatic potential profile may have multiple peaks [4]. The intensities of the peaks decay with increasing distance from the wall. We assume that the highest peak (nearest the wall) plays a dominant role in the electrokinetic flow and ignore the contributions of the remaining peaks.

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