Flows of incompressible fluids subject to Navier's slip on the boundary

DOI10.1016/j.camwa.2008.03.058zbMath1165.76308OpenAlexW2141036044MaRDI QIDQ2389759

Christiaan Le Roux, Kumbakonam R. Rajagopal, Josef Málek, Jaroslav Hron

Publication date: 18 July 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.03.058

zbMATH Keywords

boundary conditionsincompressible fluidplane Poiseuille flowpower-law fluidsecond-grade fluidplane Couette flowNavier-Stokes fluidno-slipcouette flownavier's slipno-stickpoiseuille (pipe) flow

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Navier-Stokes equations for incompressible viscous fluids (76D05)

Related Items (16)

Internal flows of incompressible fluids subject to stick-slip boundary conditions ⋮ Numerical simulation of laminar flow past a circular cylinder with slip conditions ⋮ Analytical solutions of some fully developed flows of couple stress fluid between concentric cylinders with slip boundary conditions ⋮ Slow motion of a spherical particle in a spherical cavity with slip surfaces ⋮ Incompressible fluids in thin domains with Navier friction boundary conditions. II ⋮ Couple stress fluid past a contaminated fluid sphere with slip condition ⋮ Weak solvability of equations modeling steady-state flows of second-grade fluids ⋮ Similarity solution of axisymmetric non-Newtonian wall jets with swirl ⋮ Squeeze flow of a piezoviscous fluid ⋮ Viscous fingering in yield stress fluids: a numerical study ⋮ Stability of plane Couette flow for the compressible Navier-Stokes equations with Navier-slip boundary ⋮ Mathematical modeling and simulation of flow in domains separated by leaky semipermeable membrane including osmotic effect. ⋮ On a mathematical model of journal bearing lubrication ⋮ The influence of slip conditions, wall properties and heat transfer on MHD peristaltic transport ⋮ On the homotopy solution for Poiseuille flow of a fourth grade fluid ⋮ Three-dimensional flows of incompressible Navier-Stokes fluids in tubes containing a sinus, with varying slip conditions at the wall

Cites Work

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• Unsteady motions of a generalized second-grade fluid
• Analytical solutions for non-Newtonian fluid flows in pipe-like domains
• Non-Newtonian flow in parallel-disk viscometers in the presence of wall slip
• Exact and numerical solutions of a fully developed generalized second-grade incompressible fluid with power-law temperature-dependent viscosity
• Fluids of differential type: Critical review and thermodynamic analysis
• Homotopy solution for the channel flow of a third-grade fluid
• Some analytical solutions for second-grade fluid flows for cylindrical geometries
• Non-Newtonian flow between concentric cylinders

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