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Computation of the drag force on a sphere close to a wall

David Gérard-VaretMatthieu Hillairet — 2012

ESAIM: Mathematical Modelling and Numerical Analysis

We consider the effect of surface roughness on solid-solid contact in a Stokes flow. Various models for the roughness are considered, and a unified methodology is given to derive the corresponding asymptotics of the drag force in the close-contact limit. In this way, we recover and clarify the various expressions that can be found in previous studies.

Computation of the drag force on a sphere close to a wall

David Gérard-VaretMatthieu Hillairet — 2012

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

We consider the effect of surface roughness on solid-solid contact in a Stokes flow. Various models for the roughness are considered, and a unified methodology is given to derive the corresponding asymptotics of the drag force in the close-contact limit. In this way, we recover and clarify the various expressions that can be found in previous studies.

Computation of the drag force on a sphere close to a wall

David Gérard-VaretMatthieu Hillairet — 2012

ESAIM: Mathematical Modelling and Numerical Analysis

We consider the effect of surface roughness on solid-solid contact in a Stokes flow. Various models for the roughness are considered, and a unified methodology is given to derive the corresponding asymptotics of the drag force in the close-contact limit. In this way, we recover and clarify the various expressions that can be found in previous studies.

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