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High-frequency viscosity of concentrated porous particles suspensions
Gustavo C Abade1, Bogdan Cichocki, Maria L Ekiel-Jezewska
1Institute of Theoretical Physics, University of Warsaw, Hoza 69, 00-681 Warsaw, Poland.
Abstract:
We determine the high-frequency limiting shear viscosity, eta(infinity), in colloidal suspensions of rigid, uniformly porous spheres of radius a as a function of volume fraction phi and (inverse) porosity parameter x. Our study covers the complete fluid-state regime. The flow inside the spheres is modeled by the Debye-Bueche-Brinkman equation using the boundary condition that fluid velocity and stress change continuously across the sphere surfaces. The many-sphere hydrodynamic interactions in concentrated systems are fully accounted for by a precise hydrodynamic multipole method encoded in our HYDROMULTIPOLE program extended to porous particles. A truncated virial expansion is used to derive an accurate and easy-to-use generalized Saito; formula for eta(infinity). The simulation data are used to test the performance of two simplifying effective particle models. The first model describes the effective particle as a nonporous sphere characterized by a single effective radius a(eff)(x)
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