Asymptotic behavior of a non-Newtonian flow in a thin domain with Navier law on a rough boundary

Asymptotic behavior of a non-Newtonian flow in a thin domain with Navier law on a rough boundary

We consider a non-Newtonian flow in a thin domain of thickness ε. The flow is described by the 3D incompressible Navier–Stokes (Stokes) system with a nonlinear viscosity, being a power of the shear rate (power law) of flow index p. The bottom of the domain is irregular by the presence of slight roug...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Nonlinear analysis 2015-04, Vol.117, p.99-123
1. Verfasser: Suárez-Grau, F.J.
Format: Artikel
Sprache:eng
Schlagworte:
Adherence condition
Analysis of PDEs
Asymptotic behavior
Boundaries
Computational fluid dynamics
Fluid flow
Friction
Mathematics
Navier condition
Navier-Stokes equations
Non Newtonian flow
Nonlinearity
Rough boundary
Slip
Thin fluid films
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We consider a non-Newtonian flow in a thin domain of thickness ε. The flow is described by the 3D incompressible Navier–Stokes (Stokes) system with a nonlinear viscosity, being a power of the shear rate (power law) of flow index p. The bottom of the domain is irregular by the presence of slight roughness of amplitude εδ and period εβ, satisfying the relation 1
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2015.01.013