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Local similarity solutions and their limitations

https://doi.org/10.1017/s0022112080002133
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1016/b978-0-08-011860-4.50017-3openalex-snapshot
VISCOUS EDDIES NEAR A SHARP CORNER
inferredcites →https://doi.org/10.1017/cbo9780511800955openalex-snapshot
An Introduction to Fluid Dynamics
inferredcites →https://doi.org/10.1017/s0022112056000123openalex-snapshot
On steady laminar flow with closed streamlines at large Reynolds number
inferredcites →https://doi.org/10.1017/s0022112061000603openalex-snapshot
On corner eddies in plane inviscid shear flow
inferredcites →https://doi.org/10.1017/s0022112064000015openalex-snapshot
Viscous and resistive eddies near a sharp corner
inferredcites →https://doi.org/10.1017/s0022112076000712openalex-snapshot
Viscous eddies near a 90° and a 45° corner in flow through a curved tube of triangular cross-section
inferredcites →https://doi.org/10.1017/s0022112080002145openalex-snapshot
Streamline patterns and eddies in low-Reynolds-number flow
inferredcites →https://doi.org/10.1017/s0305004100076933openalex-snapshot
On a theory of laminar flow in channels of a certain class
inferredcites →https://doi.org/10.1063/1.1694713openalex-snapshot
Longitudinal flow of a lenticular liquid filament down an inclined plane
inferredcites →https://doi.org/10.1093/qjmam/1.1.125openalex-snapshot
THE USE OF THE MELLIN TRANSFORM IN FINDING THE STRESS DISTRIBUTION IN AN INFINITE WEDGE
inferredcites →https://doi.org/10.1098/rspa.1962.0087openalex-snapshot
Laminar flow in symmetrical channels with slightly curved walls, I. On the Jeffery-Hamel solutions for flow between plane walls
inferredcites →https://doi.org/10.1115/1.4011875openalex-snapshot
The Wedge Under a Concentrated Couple: A Paradox in the Two-Dimensional Theory of Elasticity

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Boundary element analysis of three-dimensional mixing flow of Newtonian and viscoelastic fluids
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An accurate semi-analytic finite difference scheme for two-dimensional elliptic problems with singularities
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Computing flux intensity factors by a boundary method for elliptic equations with singularities
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Formation of ice eddies in subglacial mountain valleys
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Computing singular solutions of the Navier–Stokes equations with the Chebyshev‐collocation method
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The Poisson equation with local nonregular similarities
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A Paradox on the Elastic Wedge Subjected to a Concentrated Couple and on the Jeffery‐Hamel Viscous Flow Problem
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The Lid-Driven Cavity
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Corner Singularities in Three-Dimensional Stokes Flow
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The wedge subjected to tractions: a paradox re-examined
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Unidirectional flows of viscoelastic fluids and their gasdynamic counterparts
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Non-radial flow of an incompressible fluid of second grade in a contracting channel
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Flow of an Oldroyd 8-constant fluid in a convergent channel
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The wedge subjected to general tractions: A paradox resolved
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The asymptotic behaviour of solutions of the Navier-Stokes equations near sharp corners
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On the Stationary Navier–Stokes Equations in the Half-Plane
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Finiteness of corner vortices
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Eddy Structures Induced Within a Wedge by a Honing Circular Arc
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The crumbling of a viscous prism with an inclined free surface
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Numerical analysis on singular solutions of the Poisson equation in two-dimensions
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Attraction and non-attraction of the non-self-similar solutions of the biharmonic equation to the corresponding self-similar solutions
inferred← citeshttps://doi.org/10.1007/s10665-017-9901-2openalex-snapshot
Stokes flow singularity at a corner joining solid and porous walls at arbitrary angle
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An improved approximation for hydraulic conductivity for pipes of triangular cross-section by asymptotic means
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Quantifying evaporative-driven flow inside drying droplets with pinned contact lines
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Certain Exact Solutions to the Problem of Liquid Flow in Prismatic Tubes
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Free Surface Flow in a Microfluidic Corner and in an Unconfined Aquifer with Accretion: The Signorini and Saint-Venant Analytical Techniques Revisited
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Optimization of distribution chambers of coating facilities
inferred← citeshttps://doi.org/10.1016/0093-6413(94)00034-bopenalex-snapshot
Two-dimensional stokes flow near a corner in a right angle wedge and Moffatt's eddies
inferred← citeshttps://doi.org/10.1016/0377-0257(88)85057-2openalex-snapshot
Reentrant corner singularities in non-newtonian flow. Part I: theory
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Some boundary value problems for the Bingham model
inferred← citeshttps://doi.org/10.1016/0377-0257(92)87012-zopenalex-snapshot
Sink flows of a suspension of rigid rods: the failure of a similarity solution
inferred← citeshttps://doi.org/10.1016/0377-0257(93)80003-topenalex-snapshot
Flow of an Oldroyd-B fluid between intersecting planes
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Exact, Closed-Form Solutions of the Equations of Motion
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Analytical solution of the Stokes flow using the implicit potential method for the velocity-pressure coupling: Application to the lid-driven cavity flow
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Experimental and theoretical investigation of particle-laden airflow under a prosthetic mechanical foot in motion
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Large dynamic contact angles
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Flow between two rectangular inclined plane walls
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2015.08.016openalex-snapshot
Jordan form asymptotic solutions near the tip of a V-shaped notch in Reissner plate
inferred← citeshttps://doi.org/10.1016/j.jcp.2023.112602openalex-snapshot
On the Coupling between Direct Numerical Simulation of Nucleate Boiling and a Micro-Region Model at the Contact Line
inferred← citeshttps://doi.org/10.1016/s0020-7683(97)00172-8openalex-snapshot
The wedge subjected to tractions proportional to r: A paradox resolved
inferred← citeshttps://doi.org/10.1016/s1573-4285(04)80013-9openalex-snapshot
The role of inertial effects and conical flows in breakup of liquid threads
inferred← citeshttps://doi.org/10.1017/cbo9780511814921.008openalex-snapshot
Scaling and transformation groups. Renormalization group
inferred← citeshttps://doi.org/10.1017/cbo9781107050242openalex-snapshot
Scaling, Self-similarity, and Intermediate Asymptotics
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.001openalex-snapshot
Preface
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.002openalex-snapshot
Foreword
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.003openalex-snapshot
Introduction
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.004openalex-snapshot
Dimensions, dimensional analysis and similarity
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.005openalex-snapshot
The construction of intermediate-asymptotic solutions using dimensional analysis. Self-similar solutions
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.006openalex-snapshot
Self-similarities of the second kind: first examples
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.007openalex-snapshot
Self-similarities of the second kind: further examples
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.008openalex-snapshot
Classification of similarity rules and self-similar solutions. A recipe for the application of similarity analysis
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.009openalex-snapshot
Scaling and transformation groups. Renormalization group
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.010openalex-snapshot
Self-similar solutions and travelling waves
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.011openalex-snapshot
Invariant solutions: asymptotic conservation laws, spectrum of eigenvalues, and stability
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.012openalex-snapshot
Scaling in the deformation and fracture of solids
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.013openalex-snapshot
Scaling in turbulence
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.014openalex-snapshot
Scaling in geophysical fluid dynamics
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.015openalex-snapshot
Scaling: miscellaneous special problems
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.016openalex-snapshot
Afterword
inferred← citeshttps://doi.org/10.1017/cbo9781107050242.017openalex-snapshot
References
inferred← citeshttps://doi.org/10.1017/cbo9781139226516openalex-snapshot
Counterflows
inferred← citeshttps://doi.org/10.1017/cbo9781316161692openalex-snapshot
Singularities: Formation, Structure, and Propagation
inferred← citeshttps://doi.org/10.1017/jfm.2011.83openalex-snapshot
The Lighthill–Weis-Fogh clap–fling–sweep mechanism revisited
inferred← citeshttps://doi.org/10.1017/jfm.2012.321openalex-snapshot
Stokes flow near the contact line of an evaporating drop
inferred← citeshttps://doi.org/10.1017/jfm.2012.454openalex-snapshot
Stokes flow singularity at the junction between impermeable and porous walls
inferred← citeshttps://doi.org/10.1017/jfm.2014.162openalex-snapshot
Moffatt vortices induced by the motion of a contact line
inferred← citeshttps://doi.org/10.1017/jfm.2021.582openalex-snapshot
Inertial effects on the flow near a moving contact line
inferred← citeshttps://doi.org/10.1017/jfm.2022.943openalex-snapshot
Moffatt eddies in electrohydrodynamics flows: numerical simulations and analyses
inferred← citeshttps://doi.org/10.1017/jfm.2026.12016openalex-snapshot
Note on flow structure near the corner of a wedge
inferred← citeshttps://doi.org/10.1017/s0022112000001075openalex-snapshot
Rotary honing: a variant of the Taylor paint-scraper problem
inferred← citeshttps://doi.org/10.1017/s0022112004001703openalex-snapshot
Viscous eddies in a circular cone
inferred← citeshttps://doi.org/10.1017/s0022112004001715openalex-snapshot
Nested toroidal vortices between concentric cones
inferred← citeshttps://doi.org/10.1017/s002211200500827xopenalex-snapshot
Evolving eddy structures in oscillatory Stokes flows in domains with sharp corners
inferred← citeshttps://doi.org/10.1017/s0022112006009967openalex-snapshot
Particle transport in a moving corner
inferred← citeshttps://doi.org/10.1017/s0022112008001900openalex-snapshot
Liquid interfaces in viscous straining flows: numerical studies of the selective withdrawal transition
inferred← citeshttps://doi.org/10.1017/s0022112011000838openalex-snapshot
The Lighthill–Weis-Fogh clap–fling–sweep mechanism revisited
inferred← citeshttps://doi.org/10.1017/s0022112080002145openalex-snapshot
Streamline patterns and eddies in low-Reynolds-number flow
inferred← citeshttps://doi.org/10.1017/s0022112081000426openalex-snapshot
Effects of inertia in forced corner flows
inferred← citeshttps://doi.org/10.1017/s0022112082000834openalex-snapshot
Closed-cavity laminar flows at moderate Reynolds numbers
inferred← citeshttps://doi.org/10.1017/s0022112082001633openalex-snapshot
Flow of fluid of non-uniform viscosity in converging and diverging channels
inferred← citeshttps://doi.org/10.1017/s0022112082001931openalex-snapshot
Matched-asymptotic analysis of low-Reynolds-number flow past two equal circular cylinders
inferred← citeshttps://doi.org/10.1017/s0022112086001441openalex-snapshot
Bifurcations of two-dimensional channel flows
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On perturbations of Jeffery-Hamel flow
inferred← citeshttps://doi.org/10.1017/s0022112088000321openalex-snapshot
Steady viscous flow near a stationary contact line
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Flow in a tube with a small side branch
inferred← citeshttps://doi.org/10.1017/s0022112090003627openalex-snapshot
Buoyancy-induced Stokes flow in a wedge-shaped enclosure
inferred← citeshttps://doi.org/10.1017/s0022112091003798openalex-snapshot
Symmetry breaking in vortex-source and Jeffery—Hamel flows
inferred← citeshttps://doi.org/10.1017/s0022112093002575openalex-snapshot
Direct numerical simulation of turbulent flow over riblets
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The local flow in a wedge between a rigid wall and a surface of constant shear stress
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A Note on the Removal of Further Breakdowns in Classical Solutions of Laplace"s Equation on Sectorial Regions
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Finite Difference Solutions of Incompressible Flow Problems with Corner Singularities
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Eddies induced in cylindrical containers by a rotating end wall
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A semi-infinite bubble advancing into a planar tapered channel
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The flow in a cylindrical container with a rotating end wall at small but finite Reynolds number
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Stokes flow in a drop evaporating from a liquid subphase
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On the effect of riblets in fully developed laminar channel flows
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The spatial stability of a class of similarity solutions
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Instantaneous viscous flow in a corner bounded by free surfaces
inferred← citeshttps://doi.org/10.1063/5.0149071openalex-snapshot
Heat and mass transfer analysis of constitutive model with autocatalytic chemical reaction within the Jeffery–Hamel flow perspective
inferred← citeshttps://doi.org/10.1088/0169-5983/41/1/011402openalex-snapshot
Converging flow between coaxial cones
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The flow in a divergent channel driven by stretching the inclined walls
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Regularly and singularly perturbed cracks
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Pressure-gradient singularity and production enhancement for hydraulically fractured wells
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Leading-order Stokes flows near a corner
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Slow flow between concentric cones
inferred← citeshttps://doi.org/10.1093/qjmam/hbp002openalex-snapshot
Nonaxisymmetric stokes flow between concentric cones
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Flow near a sharp corner in a nematic liquid crystal
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Steady Stokes flow in a finite cylinder
inferred← citeshttps://doi.org/10.1098/rspa.2023.0141openalex-snapshot
Stream function solutions for some contact line boundary conditions: Navier slip, super slip and the generalized Navier boundary condition
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Mathematical aspects of the theory of inviscid hypersonic flow
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Deposit growth in the wetting of an angular region with uniform evaporation
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Flapping motion and force generation in a viscoelastic fluid
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Fokker-Planck equation in a wedge domain: Anomalous diffusion and survival probability
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Swimming at low Reynolds number in fluids with odd, or Hall, viscosity
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Interface deformations due to counter-rotating vortices: Viscous versus elastic media
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Exact solutions and physical analogies for unidirectional flows
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Similarity transformation for equilibrium boundary layers, including effects of blowing and suction
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Diffusion in a fluid flow generated by a source at the apex of a wedge
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Mantle flow induced by back arc spreading
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Stokes Flow Characteristics in a Cylindrical Quadrant Duct With Rotating Outer Wall
inferred← citeshttps://doi.org/10.1143/jpsj.55.115openalex-snapshot
Slow Viscous Flow Due to the Rotation of Two Finite Hinged Plates
inferred← citeshttps://doi.org/10.1143/jpsj.57.856openalex-snapshot
Two-Dimensional Slow Viscous Flow from a Converging Nozzle
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Report on scipost_202204_00001v1
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Report on scipost_202204_00001v1
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A splash in a one-dimensional cold gas
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Performance-Oriented Supercritical Airfoil Sampling Method for Deep Learning and Geometry Predictions
inferred← citeshttps://doi.org/10.3990/1.9789036513272openalex-snapshot
Simulation of convection-driven wet-chemical etching
inferred← citeshttps://doi.org/10.3990/1.9789036535250openalex-snapshot
Fluid flow in drying drops
inferred← citeshttps://doi.org/10.70675/27bafc79zea97z4b5dzbacbz62ce475696f7openalex-snapshot
Theoretical and numerical modelling of three-phase dynamic contact line and atomisation
inferred← citeshttps://doi.org/10.70675/7e89f25bzab01z472czbe1azbe7045d7512dopenalex-snapshot
Contribution à l’étude de la remise en suspension de particules générée par le pas humain au sein d’une ambiance du bâtiment
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Flow in the vicinity of a moving contact line : theoretical and numerical investigations
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