Depletion layer dynamics of polyelectrolyte solutions under Poiseuille flow
نویسندگان
چکیده
منابع مشابه
Electro-osmotic flow of semidilute polyelectrolyte solutions.
We investigate electro-osmosis in aqueous solutions of polyelectrolytes using mean-field equations. A solution of positively charged polyelectrolytes is confined between two negatively charged planar surfaces, and an electric field is applied parallel to the surfaces. When electrostatic attraction between the polymer and the surface is strong, the polymers adhere to the surface, forming a highl...
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A general formalism to study the dynamics of polyelectrolyte solutions is presented. We show in particular that the Berne-Pecora equations for charged pointlike particles are obtained by neglecting the memory function and using the Debye-Huckel potential with the linear approximation exp( U /kB T)-===1 U /kB T. We generalize Berne-Pecora results by introducing the effect of hydrodynamic interac...
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(Z. Natur forsch. 3 1 a . 8 0 0 8 0 7 [1976] ; received M a y 10, 1976) A two-d imensional Poiseui l le flow in a rad ia l d i rec t ion al lows to study s imul taneously a whole range of flow rates. Three d i f ferent de format ion modes of the d i rector field have been observed, the 'bow' mode, the 'screw' mode, and the 'peak ' mode. Above a c r i t i ca l flow rate the bow mode t ransforms ...
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Investigations of the counterion distribution and correlations to polyelectrolytes have seen increased activity to understand intrinsically stiff and flexible polyelectrolytes in good solvents as functions of ionic strength, charge valence, and concentration. In particular, anomalous (resonant) small-angle X-ray scattering and small-angle neutron scattering have provided new insights on counter...
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The stability of two-dimensional Poiseuille flow and plane Couette flow for concentrated suspensions is investigated. Linear stability analysis of the two-phase flow model for both flow geometries shows the existence of a convectively driven instability with increasing growth rates of the unstable modes as the particle volume fraction of the suspension increases. In addition it is shown that th...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2019
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.1900623116