Effective surface viscosities of a particle-laden fluid interface

LISHCHUK, S. V. and HALLIDAY, I. (2009). Effective surface viscosities of a particle-laden fluid interface. Physical review E. Statistical, nonlinear and soft matter physics, 80 (1), 016306.

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Link to published version:: https://doi.org/10.1103/PhysRevE.80.016306


The Einstein formula for the effective shear viscosity of low Reynolds number suspension flows is generalized to the case of flat, low-concentration, particle-laden interfaces separating two immiscible fluids. The effective surface shear and dilational viscosities of this system is found to be eta_s=5/3(eta_1+eta_2)Rphi and zeta_s=5(eta_1+eta_2)Rphi, correspondingly, where eta1 and eta2 are the shear viscosities of two bulk fluids and phi is the surface concentration of spherical particles of radius R. The formula is found to be in excellent agreement with data obtained using multicomponent lattice Boltzmann equation simulation.

Item Type: Article
Research Institute, Centre or Group - Does NOT include content added after October 2018: Materials and Engineering Research Institute > Structural Materials and Integrity Research Centre > Centre for Corrosion Technology
Identification Number: https://doi.org/10.1103/PhysRevE.80.016306
Page Range: 016306
Depositing User: Sergey Lishchuk
Date Deposited: 15 Mar 2010 16:56
Last Modified: 18 Mar 2021 21:30
URI: https://shura.shu.ac.uk/id/eprint/1220

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