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Exact solutions and physical analogies for unidirectional flows

https://doi.org/10.1103/physrevfluids.1.024001
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Outgoing claims: the papers this work cites, builds on, or argues with.

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A Guide to First-Passage Processes
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Micro- and Nanoscale Fluid Mechanics
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An Introduction to Fluid Dynamics
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Exact solutions of the Navier–Stokes equations having steady vortex structures
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Anisotropic electro-osmotic flow over super-hydrophobic surfaces
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Viscous eddies near a 90° and a 45° corner in flow through a curved tube of triangular cross-section
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Local similarity solutions and their limitations
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Flow in random porous media: mathematical formulation, variational principles, and rigorous bounds
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Efficient simulation technique to compute effective properties of heterogeneous media
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Diffusion-Controlled Quenching at Higher Quencher Concentrations
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Trapping of diffusing particles by striped cylindrical surfaces. Boundary homogenization approach
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The Geometry of Harmonic Functions
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III. The viscosity of glacier ice
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II. On the self-induction of wires.—Part V
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Torsional rigidity, principal frequency, electrostatic capacity and symmetrization
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Visual Complex Analysis
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TORSION OF A COMPOUND BAR BOUNDED BY CYLINDRICAL POLAR COORDINATES
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Conformal mapping of some non-harmonic functions in transport theory
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Reciprocal Relations in Irreversible Processes. I.
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Transverse electrokinetic and microfluidic effects in micropatterned channels: Lubrication analysis for slab geometries
inferredcites →https://doi.org/10.1103/physreve.71.057301openalex-snapshot
Reexamination of Hagen-Poiseuille flow: Shape dependence of the hydraulic resistance in microchannels
inferredcites →https://doi.org/10.1103/physreve.77.041602openalex-snapshot
Fingered growth in channel geometry: A Loewner-equation approach
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Diffuse charge and Faradaic reactions in porous electrodes
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Analysis of electrolyte transport through charged nanopores
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Relationship between permeability and diffusion-controlled trapping constant of porous media
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Can one ‘‘hear’’ the thermodynamics of a (rough) colloid?
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Dynamics of Conformal Maps for a Class of Non-Laplacian Growth Phenomena
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Average Shape of Transport-Limited Aggregates
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Exact Solutions of the Unsteady Navier-Stokes Equations
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The Second Fundamental Problem in Heat Transfer of Laminar Forced Convection
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Analog Solution of Laminar Heat Transfer in Noncircular Ducts by Moire´ Method and Point-Matching
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Electrochemistry and capacitive charging of porous electrodes in asymmetric multicomponent electrolytes
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Isoperimetric Inequalities and Their Applications
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Homogenization of the Poisson--Nernst--Planck equations for Ion Transport in Charged Porous Media
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Exact Solutions Of The Steady-State Navier-Stokes Equations
inferredcites →https://doi.org/10.1146/annurev.fl.25.010193.000245openalex-snapshot
The History of Poiseuille's Law
inferredcites →https://doi.org/10.1146/annurev.pc.34.100183.002425openalex-snapshot
Diffusion-Controlled Reactions
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Formation and controls of channel networks
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The Use of Soap Films in Solving Torsion Problems
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Isoperimetric Inequalities in Mathematical Physics. (AM-27)

What points at this work

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

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Mean first-passage time to a small absorbing target in an elongated planar domain
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Poiseuille flow through parabolic segment and lens-shaped ducts
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Exact solution for the Poisson field in a semi-infinite strip
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Electrolyte flows under magnetic fields: Manning-like counterion condensation in one dimension
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Mean first passage time for a particle diffusing on a disk with two absorbing traps at the boundary
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Semianalytical modeling of the mass transfer in microfluidic electrochemical chips
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Electrokinetic Control of Viscous Fingering
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Exact Formulae for the Effective Slip Length of a Symmetric Superhydrophobic Channel with Flat or Weakly Curved Menisci
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Slip length for a viscous flow over spiky surfaces
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Semi-Exact Torsion Solution for Cambered NACA Airfoils
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The Effect of Random Roughness for Fully Developed Forced Flow in Square Microchannels
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Hagen-Poiseuille Flow in a Quarter-Elliptic Tube
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Exact Solutions of the Oberbeck–Boussinesq Equations for the Description of Shear Thermal Diffusion of Newtonian Fluid Flows
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