Local similarity solutions and their limitations

DOI10.1017/S0022112080002133zbMath0432.76028OpenAlexW1996169145MaRDI QIDQ3870545

Brian R. Duffy, Henry Keith Moffatt

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1017/s0022112080002133

zbMATH Keywords

Mellin transformsimilarity solutionsPoiseuille flowhinged plateasymptotic forms of solutionsstraight ductdomains containing cornersmodified Jeffery-Hamel problem

Mathematics Subject Classification ID

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

Related Items (29)

The Lighthill–Weis-Fogh clap–fling–sweep mechanism revisited ⋮ Finiteness of corner vortices ⋮ Non-radial flow of an incompressible fluid of second grade in a contracting channel ⋮ Liquid interfaces in viscous straining flows: numerical studies of the selective withdrawal transition ⋮ Symmetry breaking in vortex-source and Jeffery—Hamel flows ⋮ On the stationary Navier-Stokes equations in the half-plane ⋮ On the effect of riblets in fully developed laminar channel flows ⋮ Buoyancy-induced Stokes flow in a wedge-shaped enclosure ⋮ Bifurcations of two-dimensional channel flows ⋮ On the coupling between direct numerical simulation of nucleate boiling and a micro-region model at the contact line ⋮ Flow between two rectangular inclined plane walls ⋮ Stokes flow singularity at a corner joining solid and porous walls at arbitrary angle ⋮ Flow in a tube with a small side branch ⋮ On perturbations of Jeffery-Hamel flow ⋮ Computing singular solutions of the Navier-Stokes equations with the Chebyshev-collocation method ⋮ The flow in a cylindrical container with a rotating end wall at small but finite Reynolds number ⋮ Unnamed Item ⋮ Eddies induced in cylindrical containers by a rotating end wall ⋮ A semi-infinite bubble advancing into a planar tapered channel ⋮ Inertial effects on the flow near a moving contact line ⋮ Stokes flow singularity at the junction between impermeable and porous walls ⋮ The Poisson equation with local nonregular similarities ⋮ Unidirectional flows of viscoelastic fluids and their gasdynamic counterparts ⋮ Computing flux intensity factors by a boundary method for elliptic equations with singularities ⋮ Flow of an Oldroyd 8-constant fluid in a convergent channel ⋮ An improved approximation for hydraulic conductivity for pipes of triangular cross-section by asymptotic means ⋮ Stokes flow near the contact line of an evaporating drop ⋮ The wedge subjected to tractions: A paradox re-examined ⋮ Effects of inertia in forced corner flows

Cites Work

• Laminar flow in symmetrical channels with slightly curved walls, I. On the Jeffery-Hamel solutions for flow between plane walls
• Longitudinal flow of a lenticular liquid filament down an inclined plane

This page was built for publication: Local similarity solutions and their limitations