Effective boundary condition for a quasi-Newtonian viscous fluid at a slightly rough boundary starting from a Navier condition

Effective boundary condition for a quasi-Newtonian viscous fluid at a slightly rough boundary starting from a Navier condition

We consider the quasi‐Newtonian flow in a domain with a periodic rough bottom Γϵ of period of order the small parameter ϵ and amplitude δϵ, such that δϵ 2. In the case δϵ>> ϵ2p‐1/p the effective boundary condition in the limit ϵ = 0 is the no‐slip condition, while if δϵ

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Mechanik 2015-05, Vol.95 (5), p.527-548
1. Verfasser: Suárez-Grau, F.J.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Computational fluid dynamics
Finite element analysis
Fluid flow
Fluids
Incompressible flow
Mathematical models
Navier boundary condition
Navier-Stokes equations
Quasi-Newtonian fluid
rough boundary
Three dimensional
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Zusammenfassung:We consider the quasi‐Newtonian flow in a domain with a periodic rough bottom Γϵ of period of order the small parameter ϵ and amplitude δϵ, such that δϵ 2. In the case δϵ>> ϵ2p‐1/p the effective boundary condition in the limit ϵ = 0 is the no‐slip condition, while if δϵ
ISSN:0044-2267
1521-4001
DOI:10.1002/zamm.201300160