Abstract
Abstract
Highlights
A rapidly increasing number of applications involve flows in confined microscale channels, that is, in the field of microfluidics (Stone, Stroock & Adjari 2004)
Feuillebois et al (2015) and Feuillebois et al (2016) derived the effective viscosity of a dilute suspension bounded by parallel no-slip walls for a Couette flow and a Poiseuille flow, respectively
For various calculation methods such as the boundary element method (BEM) and the method of multipoles it would first require the derivation of the Green tensor between two parallel slip walls
Summary
A rapidly increasing number of applications involve flows in confined microscale channels, that is, in the field of microfluidics (Stone, Stroock & Adjari 2004). Feuillebois et al (2015) and Feuillebois et al (2016) derived the effective viscosity of a dilute suspension bounded by parallel no-slip walls for a Couette flow and a Poiseuille flow, respectively Their results were obtained in terms of singularities on individual particles, i.e. the classical stresslet for Couette flow, to which a quadrupole is added for Poiseuille flow. In the light of this simple model one could think of directly applying the results of Feuillebois et al (2016) for spheres and to a wider channel (with width increased by 2λ) in order to predict the suspension effective viscosity in the presence of slip It will be seen later in the article that this naive concept is not sufficient.
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