Averaged Reynolds Equation for Flows between Rough Surfaces in Sliding Motion - Archive ouverte HAL Access content directly
Journal Articles Transport in Porous Media Year : 2002

Averaged Reynolds Equation for Flows between Rough Surfaces in Sliding Motion

Abstract

The flow between rough surfaces in sliding motion with contacts between these surfaces, is analyzed through the volume averaging method. Assuming a Reynolds (lubrication) approximation at the roughness scale, an average flow model is obtained combining spatial and time average. Time average, which is often omitted in previous works, is specially discussed. It is shown that the effective transport coefficients, traditionally termed ‘flow factors’ in the lubrication literature, that appear in the average equations can be obtained from the solution to two closure problems. This allows for the numerical determination of flow factors on firmer bases and sheds light on some arguments to the literature. Moreover, fluid flows through fractures form an important subset of problems embodied in the present analysis, for which macroscopisation is given.
Fichier principal
Vignette du fichier
prat_5486.pdf (144.33 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03604362 , version 1 (10-03-2022)

Identifiers

Cite

Marc Prat, Franck Plouraboué, Nicolas Letalleur. Averaged Reynolds Equation for Flows between Rough Surfaces in Sliding Motion. Transport in Porous Media, 2002, 48 (3), pp.291-313. ⟨10.1023/A:1015772525610⟩. ⟨hal-03604362⟩
2 View
13 Download

Altmetric

Share

Gmail Facebook X LinkedIn More