Derivation of the Reynolds equation for lubrication of a rotating shaft

Antonija Duvnjak; Eduard Marušić-Paloka

Displaying similar documents to “Derivation of the Reynolds equation for lubrication of a rotating shaft”

On bounds of the drag for Stokes flow around a body without thickness

Didier Bresch (1997)

Commentationes Mathematicae Universitatis Carolinae

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This paper is devoted to lower and upper bounds of the hydrodynamical drag $T$ for a body in a Stokes flow. We obtain the upper bound since the solution for a flow in an annulus and therefore the hydrodynamical drag can be explicitly derived. The lower bound is obtained by comparison to the Newtonian capacity of a set and with the help of a result due to J. Simon $[10]$ . The chosen approach provides an interesting lower bound which is independent of the interior of the body.

On the behavior of the solutions of the Navier-Stokes equations at vanishing viscosity

Roger Temam, Xiaoming Wang (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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

David Gérard-Varet, Matthieu Hillairet (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

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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.