On the influence of wavy riblets on the slip behaviour of viscous fluids

DOI10.1007/s00033-015-0614-yzbMath1342.35242OpenAlexW2333461329MaRDI QIDQ294032

Matthieu Bonnivard, Giordano Tierra, Francisco Javier Suárez-Grau

Publication date: 9 June 2016

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://hal.sorbonne-universite.fr/hal-01471769/file/Bonnivard_SuarezGrau_Tierra_R1.pdf

zbMATH Keywords

homogenizationrough boundaryslip conditionstraight ribletsviscous fluidswavy riblets

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Theories of friction (tribology) (74A55)

Related Items (6)

Flows of incompressible viscous liquids with anisotropic wall slip ⋮ Reaction-diffusion problem in a thin domain with oscillating boundary and varying order of thickness ⋮ Enhanced drag-reduction over superhydrophobic surfaces with sinusoidal textures: a DNS study ⋮ Effects of rough boundary and nonzero boundary conditions on the lubrication process with micropolar fluid ⋮ Roughness-induced effects on the convection–diffusion–reaction problem in a thin domain ⋮ A generalized Reynolds equation for micropolar flows past a ribbed surface with nonzero boundary conditions

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
• Asymptotic properties of solutions to the equations of incompressible fluid mechanics
• On the asymptotic limit of the Navier-Stokes system on domains with rough boundaries
• On the asymptotic limit of flows past a ribbed boundary
• Boundary behavior of viscous fluids: Influence of wall roughness and friction-driven boundary conditions
• Periodic unfolding and homogenization
• Why viscous fluids adhere to rugose walls: A mathematical explanation.
• An adaptation of the multi-scale methods for the analysis of very thin reticulated structures
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• Lagrange Multiplier Approach to Variational Problems and Applications
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Rough boundaries and wall laws
• Two-scale convergence for nonlinear Dirichlet problems in perforated domains
• New development in freefem++
• Streamwise oscillation of spanwise velocity at the wall of a channel for turbulent drag reduction
• ASYMPTOTIC BEHAVIOR OF A VISCOUS FLUID WITH SLIP BOUNDARY CONDITIONS ON A SLIGHTLY ROUGH WALL
• On the roughness-induced effective boundary conditions for an incompressible viscous flow

This page was built for publication: On the influence of wavy riblets on the slip behaviour of viscous fluids