2018
DOI: 10.5937/fmet1802272a
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Influence of the wall roughness on a linear shear flow

Abstract: In this paper, we will be interested in the viscous flow fluid over a rough wall which has a periodic roughness and small amplitude. The Reynolds number for the flow over a rough wall is low and the creeping flow equations apply. The no-slip boundary condition on the rough wall applies. By using an asymptotic expansion, the analytic expressions are obtained for the pressure and the components f velocity of the flow of second order due to the roughness, then concluding the expressions of pressure and velocity o… Show more

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Cited by 9 publications
(9 citation statements)
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“…However, only a handful of these publications were concerned with the effect of the surface quality, its replication ability and the applied processing parameters on the final product. Furthermore, no complex study analysing the influence of surface quality on the flow length of a polymer or the effect of flow length on the mechanical properties has yet been completed [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17].…”
Section: Introductionmentioning
confidence: 99%
See 1 more Smart Citation
“…However, only a handful of these publications were concerned with the effect of the surface quality, its replication ability and the applied processing parameters on the final product. Furthermore, no complex study analysing the influence of surface quality on the flow length of a polymer or the effect of flow length on the mechanical properties has yet been completed [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17].…”
Section: Introductionmentioning
confidence: 99%
“…In these studies, however, the influence of the surface roughness was not included. On the other hand, the influence of the wall roughness on a linear shear flow was investigated by Assoudi et al [7]. Furthermore, Ebrahimi et al [8] have studied the wall slip of molten polymers influenced by the surface roughness.…”
Section: Introductionmentioning
confidence: 99%
“…It can be seen that velocity attenuates near the wall, so that it allows particles to settle easily at the bottom. This phenomenon was the subject of various studies focused on the modelling of flow motion near to smooth and roughness wall [17].…”
Section: Flow Patternmentioning
confidence: 99%
“…Kunert et al [14] measured the high-speed drainage of liquid films squeezed between a smooth sphere and a randomly rough plane by using lattice Boltzmann simulations. The flow of second order generated by the wall roughness of small amplitude has been calculated in a previous study by Assoudi et al [15]. After that, Assoudi et al [16] treated the motion of a spherical particle along a rough wall in a shear flow.…”
Section: Introductionmentioning
confidence: 99%