scientific article; zbMATH DE number 2031586
From MaRDI portal
Publication:4446075
zbMath1139.76004MaRDI QIDQ4446075
P.-G. De Gennes, David Quéré, Françoise Brochard-Wyart
Publication date: 25 January 2004
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Capillarity (surface tension) for incompressible inviscid fluids (76B45) Capillarity (surface tension) for incompressible viscous fluids (76D45) Liquid-gas two-phase flows, bubbly flows (76T10) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)
Related Items
Engulfment of a drop on solids coated by thin and thick fluid films ⋮ Shape of sessile drops in the large-Bond-number ‘pancake’ limit ⋮ Implications of hydrophobic interactions and consequent apparent slip phenomenon on the entrance region transport of liquids through microchannels ⋮ Projection Method for Droplet Dynamics on Groove-Textured Surface with Merging and Splitting ⋮ The long cross-over dynamics of capillary imbibition ⋮ Fluid dynamic instabilities: theory and application to pattern forming in complex media ⋮ Experiments on the breakup of drop-impact crowns by Marangoni holes ⋮ Thin films in partial wetting: stability, dewetting and coarsening ⋮ Structure of iso-scalar sets ⋮ Diffuse-interface two-phase flow models with different densities: A new quasi-incompressible form and a linear energy-stable method ⋮ Droplet dynamics under an impinging air jet ⋮ The interaction of multiple bubbles in a Hele-Shaw channel ⋮ Investigation of the imbibition/drainage of two immiscible fluids in capillaries with arbitrary axisymmetric cross-sections: a generalized model ⋮ The role of a pre-wetting layer in resolving the contact line paradox of thin films in infinite elastic domains ⋮ FIPI: a fast numerical method for the simulation of particle-laden fluid interfaces ⋮ Equilibrium shapes of liquid drops on pre-stretched nonlinear elastic membranes ⋮ A scalable algorithm for many-body dissipative particle dynamics using multiple general purpose graphic processing units ⋮ Derivation via Hamilton's principle of a new shallow-water model using a color function for the macroscopic description of partial wetting phenomena ⋮ A Unified Variational Framework on Macroscopic Computations for Two-Phase Flow with Moving Contact Lines ⋮ Taylor–Culick retractions and the influence of the surroundings ⋮ Motion of a viscous slug on heterogeneous surfaces: crossover from stick–slip to steady sliding ⋮ Spreading of a thin droplet on a soft substrate ⋮ Edge-driven collapse of fluid holes ⋮ Thermo-elastic waves in a model with nonlinear adhesion ⋮ Spin coating of capillary tubes ⋮ Nonlocal capillarity for anisotropic kernels ⋮ The Plateau-Rayleigh instability of translating \(\lambda\)-solitons ⋮ Capillary rise in sharp corners: not quite universal ⋮ A conservative second order phase field model for simulation of \(N\)-phase flows ⋮ Critical wetting in the two-dimensional Ising ferromagnet confined between inhomogeneous walls ⋮ Stability of hypersurfaces with constant mean curvature trapped between two parallel hyperplanes ⋮ An improved phase-field algorithm for simulating the impact of a drop on a substrate in the presence of surfactants ⋮ On weak solutions of boundary value problems within the surface elasticity of Nth order ⋮ Universality of capillary rising in corners ⋮ On the influence of viscosity and caustics on acoustic streaming in sessile droplets: an experimental and a numerical study with a cost-effective method ⋮ Unnamed Item ⋮ Deformation and dewetting of liquid films under gas jets ⋮ Surface effects of network materials based on strain gradient homogenized media ⋮ Wetting of soap bubbles on soft elastomers with surface stress and gravity ⋮ Asymptotic theory for a Leidenfrost drop on a liquid pool ⋮ Onset of thin film meniscus along a fibre ⋮ Axisymmetric evolution of gravity-driven thin films on a small sphere ⋮ Miscibility and wettability: how interfacial tension influences droplet impact onto thin wall films ⋮ Decoupled rolling, sliding and sticking of a viscoplastic drop on a superhydrophobic surface ⋮ ALE-FEM for Two-Phase and Free Surface Flows with Surfactants ⋮ Theory for the coalescence of viscous lenses ⋮ Transient Marangoni convection induced by an isothermal sidewall of a rectangular liquid pool ⋮ How surface stress transforms surface profiles and adhesion of rough elastic bodies ⋮ The contact angle in capillarity ⋮ Three-Phase Capillarity ⋮ Well‐posedness for the Navier Slip Thin‐Film equation in the case of partial wetting ⋮ On a free boundary problem for the curvature flow with driving force ⋮ Analysis for Contact Angle Hysteresis on Rough Surfaces by a Phase-Field Model with a Relaxed Boundary Condition ⋮ Statics and dynamics of a viscous ligament drawn out of a pure-liquid bath ⋮ Drop impact on solids: contact-angle hysteresis filters impact energy into modal vibrations ⋮ Dip-coating flow in the presence of two immiscible liquids ⋮ The influence of heating on liquid jet spreading and hydraulic jump ⋮ Influence of liquid miscibility and wettability on the structures produced by drop–jet collisions ⋮ Asymptotic theory of fluid entrainment in dip coating ⋮ Liquid plug formation from heated binary mixtures in capillary tubes ⋮ Morphological evolution of microscopic dewetting droplets with slip ⋮ Binary-fluid–solid interaction based on the Navier–Stokes–Korteweg equations ⋮ Statics and dynamics of liquid barrels in wedge geometries ⋮ The common mechanism of turbulent skin-friction drag reduction with superhydrophobic longitudinal microgrooves and riblets ⋮ Wetting on rough surfaces and contact angle hysteresis: numerical experiments based on a phase field model ⋮ Distinguished Limits of the Navier Slip Model for Moving Contact Lines in Stokes Flow ⋮ Self-similar dynamics of two-phase flows injected into a confined porous layer ⋮ Motion of a confined bubble in a shear-thinning liquid ⋮ (In)compressibility and parameter identification in phase field models for capillary flows ⋮ Clustering and self-organization in small-scale natural and artificial systems ⋮ On a two-point boundary value problem for the 2-D Navier-Stokes equations arising from capillary effect ⋮ Capillary levelling of immiscible bilayer films ⋮ Droplet Footprint Control ⋮ Dynamics of directional soluble wicking ⋮ Circular hydraulic jumps: where does surface tension matter? ⋮ The dynamics of bouncing, partially coalescing, liquid metal droplets in a viscous medium ⋮ Water–propylene glycol sessile droplet shapes and migration: Marangoni mixing and separation of scales ⋮ Dewetting acceleration by evaporation ⋮ Effective boundary conditions for dynamic contact angle hysteresis on chemically inhomogeneous surfaces ⋮ Marangoni instabilities of droplets on the liquid substrate under the action of a spatial temperature modulation ⋮ Dynamic behavior investigation of capillary rising at various dominant forces using free energy lattice Boltzmann method ⋮ Fluid-structure interaction of thin flexible bodies in multi-material multi-phase systems ⋮ A theoretical study on the capillary rise of non-Newtonian power-law fluids ⋮ Arbitrary Lagrangian-Eulerian finite element method for curved and deforming surfaces. I: General theory and application to fluid interfaces ⋮ Phase-field modelling of a liquid/liquid immiscible displacement through a network of capillaries ⋮ Investigation of temperature increase associated with liquid deformations at the nanometer scale ⋮ Length and time scales of a liquid drop impact and penetration into a granular layer ⋮ Probability density function approach for modelling multi-phase flow with ganglia in porous media ⋮ On thermodynamics of fluid interfaces ⋮ A finite-volume method for simulating contact lines on unstructured meshes in a conservative level-set framework ⋮ On the stability of liquid droplets with line tension ⋮ Energy dissipation and the contact-line region of a spreading bridge ⋮ Dynamical equations for the contact line of an evaporating or condensing sessile drop ⋮ Wicking of a liquid bridge connected to a moving porous surface ⋮ Modified Wenzel and Cassie Equations for Wetting on Rough Surfaces ⋮ Unconditionally energy stable and bound-preserving schemes for phase-field surfactant model with moving contact lines ⋮ Viscous sheet retraction ⋮ Analysis for wetting on rough surfaces by a three-dimensional phase field model ⋮ Inertial rise of a meniscus on a vertical cylinder ⋮ Non-equilibrium thermodynamics of gravitational screens ⋮ Nonlinear model reduction for computational vibration analysis of structures with weak geometrical nonlinearity coupled with linear acoustic liquids in the presence of linear sloshing and capillarity ⋮ A multiscale diffuse-interface model for two-phase flow in porous media ⋮ The shape of a liquid surface in a uniformly rotating cylinder in the presence of surface tension ⋮ Functional entropy variables: a new methodology for deriving thermodynamically consistent algorithms for complex fluids, with particular reference to the isothermal Navier-Stokes-Korteweg equations ⋮ An arbitrary Lagrangian Eulerian method for three-phase flows with triple junction points ⋮ Well-posed initial conditions and numerical methods for one-dimensional models of liquid dynamics in a horizontal capillary ⋮ Simulating wetting phenomenon with large density ratios based on weighted-orthogonal multiple-relaxation-time pseudopotential lattice Boltzmann model ⋮ Minimizing movements for mean curvature flow of droplets with prescribed contact angle ⋮ Numerical study of droplet impact and coalescence in a microline patterning process ⋮ Metastable equilibria of capillary drops on solid surfaces: a phase field approach ⋮ A coupled Eulerian-Lagrangian extended finite element formulation for simulating large deformations in hyperelastic media with moving free boundaries ⋮ Three-component phase-field lattice Boltzmann method with high density ratio and ability to simulate total spreading states ⋮ The stability of a static liquid column pulled out of an infinite pool ⋮ Thermal dispersion driven by the spontaneous imbibition process ⋮ Morphology of liquid drops and thin films on a solid surface with sinusoidal microstructures ⋮ Thomas Young's surface tension diagram: its history, legacy, and irreconcilabilities ⋮ Model hierarchies and higher-order discretisation of time-dependent thin-film free boundary problems with dynamic contact angle ⋮ Curvature suppresses the Rayleigh-Taylor instability ⋮ Overhanging of membranes and filaments adhering to periodic graph substrates ⋮ Stability and Bifurcation of a Capillary Surface on a Cylinder ⋮ Multiphase Allen-Cahn and Cahn-Hilliard models and their discretizations with the effect of pairwise surface tensions ⋮ Computer simulations of phase field drops on super-hydrophobic surfaces ⋮ An efficient finite element method for simulation of droplet spreading on a topologically rough surface ⋮ Capillary-type boundary value problems of mean curvature flows with force and transport terms on a bounded domain ⋮ Constant mean curvature surfaces with boundary on a sphere ⋮ On the thickness of soap films: an alternative to Frankel's law ⋮ Nonlinear Waves in Adhesive Strings ⋮ Adhesion and debonding in a model of elastic string ⋮ Numerical simulation of dynamic behavior of droplet on solid surface by the two-phase lattice Boltzmann method ⋮ Monte Carlo methods for estimating interfacial free energies and line tensions ⋮ Underwater breathing: the mechanics of plastron respiration ⋮ The watering of tall trees -- embolization and recovery ⋮ Variational formulations for surface tension, capillarity and wetting ⋮ Nonlinear higher-order boundary value problems describing thin viscous flows near edges ⋮ Antiplane Surface Wave Propagation Within the Stress Gradient Surface Elasticity ⋮ Poromechanics of freezing materials ⋮ Deformation and stress from in-pore drying-induced crystallization of Salt ⋮ Molecular dynamics of dewetting of ultra-thin water films on solid substrate ⋮ Well-posedness for a class of thin-film equations with general mobility in the regime of partial wetting ⋮ Fragmentation versus Cohesion ⋮ A model for surface tension in the meshless finite volume particle method without spurious velocity ⋮ Air sheet contraction ⋮ On imposing dynamic contact-angle boundary conditions for wall-bounded liquid-gas flows ⋮ Linear shear flow past a hemispherical droplet adhering to a solid surface ⋮ Simulation of moving contact lines in two-phase polymeric fluids ⋮ Wetting transition of nonpolar neutral molecule system on a neutral and atomic length scale roughness substrate ⋮ The hydrodynamics of water-walking arthropods ⋮ Classical solvability of the multidimensional free boundary problem for the thin film equation with quadratic mobility in the case of partial wetting ⋮ Gradient flow perspective on thin-film bilayer flows ⋮ Preface to the special issue on ``Thin films and fluid interfaces ⋮ Unified formulation of the momentum-weighted interpolation for collocated variable arrangements ⋮ Equilibrium of a second-gradient fluid and an elastic solid with surface stresses ⋮ Dynamics of liquid nanofilms ⋮ On the stability of a cylindrical liquid bridge ⋮ High order numerical approximation of minimal surfaces ⋮ Elastocapillary coiling of an elastic rod inside a drop ⋮ Finite element setting for fluid flow simulations with natural enforcement of the triple junction equilibrium ⋮ Rainwater rivulets running on a stay cable subject to wind ⋮ Numerical multiscale modelling of nonlinear elastowetting ⋮ Vibration of structures containing compressible liquids with surface tension and sloshing effects. Reduced-order model ⋮ An efficient boundary integral scheme for the threshold dynamics method. II. Applications to wetting dynamics ⋮ Gradient flow formulation and second order numerical method for motion by mean curvature and contact line dynamics on rough surface ⋮ Hydrodynamic friction of fakir-like superhydrophobic surfaces ⋮ Washing wedges: capillary instability in a gradient of confinement ⋮ Thin liquid films in a funnel ⋮ Film deposition and transition on a partially wetting plate in dip coating ⋮ Open capillary siphons ⋮ A new approach for the limit to tree height using a liquid nanolayer model ⋮ Singularity of the water strider propulsion mechanisms ⋮ Global weak solutions to a diffuse interface model for incompressible two-phase flows with moving contact lines and different densities ⋮ Liquid inclusions in soft materials: capillary effect, mechanical stiffening and enhanced electromechanical response ⋮ A numerical investigation of the propulsion of water walkers ⋮ Numerical simulation of single- and multi-mode Rayleigh-Taylor instability with surface tension in two dimensions ⋮ A unified model for stress-driven rearrangement instabilities ⋮ Surfactant-dependent contact line dynamics and droplet spreading on textured substrates: derivations and computations ⋮ Elasto-capillary fluid-structure interaction with compound droplets ⋮ Inertial dynamics of air bubbles crossing a horizontal fluid–fluid interface ⋮ Micro-bubble morphologies following drop impacts onto a pool surface ⋮ Reflection and transmission of plane waves at surfaces carrying material properties and embedded in second-gradient materials ⋮ On effective properties of materials at the nano- and microscales considering surface effects