The uniform rugosity effect

DOI10.1007/s00021-011-0052-3zbMath1294.35088OpenAlexW1966148188MaRDI QIDQ740342

Matthieu Bonnivard, Dorin Bucur

Publication date: 2 September 2014

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-011-0052-3

zbMATH Keywords

non-periodic boundariesrugosity effectuniform decreasing of the velocity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (7)

Wall laws for viscous fluids near rough surfaces ⋮ Large-scale regularity for the stationary Navier-Stokes equations over non-Lipschitz boundaries ⋮ Influence of surface roughness to solutions of the Boussinesq equations with Robin boundary condition ⋮ Asymptotic behavior of a non-Newtonian flow in a thin domain with Navier law on a rough boundary ⋮ The vanishing viscosity limit for 2D Navier-Stokes in a rough domain ⋮ Boundary Layer for a Non-Newtonian Flow Over a Rough Surface ⋮ Effective slip law for general viscous flows over an oscillating surface

Cites Work

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• Parametrized measures and variational principles
• Why viscous fluids adhere to rugose walls: A mathematical explanation.
• The Stokes equations with Fourier boundary conditions on a wall with asperities
• Wall laws for fluid flows at a boundary with random roughness
• Influence of wall roughness on the slip behaviour of viscous fluids
• Rough boundaries and wall laws
• Effect of rugosity on a flow governed by stationary Navier-Stokes equations
• On the roughness-induced effective boundary conditions for an incompressible viscous flow

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