Nonlinear stability of evaporating/condensing liquid films
From MaRDI portal
Publication:3799739
DOI10.1017/S0022112088002484zbMath0653.76035MaRDI QIDQ3799739
James P. Burelbach, S. G. Bankoff, Stephen H. Davis
Publication date: 1988
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
three-dimensional disturbancesinstabilitiesthermocapillarydryoutevaporatinghorizontal static liquid layersnon- equilibrium thermodynamic effectsplanar solid boundariesrupture instabilitiestwo-dimensional nonlinear stabilityVapour recoil
Nonlinear effects in hydrodynamic stability (76E30) Multiphase and multicomponent flows (76T99) Basic methods in fluid mechanics (76M99)
Related Items
Energy levels of steady states for thin-film-type equations, Breather solutions of a negative order modified Korteweg-de Vries equation and its nonlinear stability, Nonlinear dynamics of dewetting thin films, On unsteady reacting flow in a channel with a cavity, An analytic approach to the normalized Ricci flow-like equation, Steady states and dynamics of a thin-film-type equation with non-conserved mass, Marangoni convection, evaporation and interface deformation in liquid films on heated substrates with non-uniform thermal conductivity, On the Cauchy problem for a reaction-diffusion equation with a singular nonlinearity, On a viscous two-fluid channel flow including evaporation, Positive solutions of a semilinear elliptic equation with singular nonlinearity, Capillary flow of evaporating liquid solutions in open rectangular microchannels, The effect of electrical double layers on evaporation of sessile droplets, Interfacial dynamics of a confined liquid–vapour bilayer undergoing evaporation, A model of tear-film breakup with continuous mucin concentration and viscosity profiles, Contact-line singularities resolved exclusively by the Kelvin effect: volatile liquids in air, Stability of two-layer fluid flows with evaporation at the interface, Non-isothermal flow of a liquid film on a horizontal cylinder, Thin film rupture, Steady thermocapillary flows of thin liquid layers. I. Theory, Steady thermocapillary flows of thin liquid layers. II. Experiment, Linear stability analysis of convection in two-layer system with an evaporating vapor-liquid interface, Influence of the transverse temperature drop on the stability of two-layer fluid flows with evaporation, Application of Floquet theory to the stability of liquid films on structured surfaces, Modeling of Van der Waals force with smoothed particle hydrodynamics: application to the rupture of thin liquid films, Thermocapillary instability as a mechanism for film boiling collapse, Nonlinear evolution equations for thin liquid films with insoluble surfactants, The spreading of volatile liquid droplets on heated surfaces, Global existence of solutions to a tear film model with locally elevated evaporation rates, Asymptotic analysis of the evaporation dynamics of partially wetting droplets, On contact-line dynamics with mass transfer, Finite-time thin film rupture driven by modified evaporative loss, Spatiotemporal stability of a thin film in the presence of thermal and solutal Marangoni stresses, Nonlinear rupture of free films, Water film falling down an ice sheet, Logarithmically singular parabolic equations as limits of the porous medium equation, Rayleigh–Taylor unstable condensing liquid layers with nonlinear effects of interfacial convection and diffusion of vapour, Dynamics of volatile liquid droplets on heated surfaces: theory versus experiment, A mechanism for rivulet formation in heated falling films, Contact-line instability of liquids spreading on top of rotating substrates, Cascade of structures in long-wavelength Marangoni instability, Non-isothermal spreading of a thin liquid film on an inclined plane, Dynamics of a coating film flow on horizontal cylinders with van der Waals forces, Transport from a volatile meniscus inside an open microtube, Thin liquid films on a slightly inclined heated plate, Similarity solutions for van der Waals rupture of a thin film on a solid substrate, Nonlinear dynamics of irradiated thin volatile liquid films, Regularity results for a class of doubly nonlinear very singular parabolic equations, Spreading and retraction dynamics of sessile evaporating droplets comprising volatile binary mixtures, Interfacial hydrodynamic waves driven by chemical reactions, Nonlinear dynamics of three-dimensional long-wave Marangoni instability in thin liquid films, Long-wave theory of bounded two-layer films with a free liquid–liquid interface: Short- and long-time evolution, Dynamics of a condensing liquid film under conjoining/disjoining pressures, The effect of heat conduction in the vapor on the dynamics of downflowing condensate, Unstable van der Waals driven line rupture in Marangoni driven thin viscous films, Control of evaporatively driven instabilities of thin liquid films, Nonlinear evolution of nonuniformly heated falling liquid films, Nonlinear evolution of thin free viscous films in the presence of soluble surfactant, The effect of electric fields on the rupture of thin viscous films by van der Waals forces, Spreading of droplets under the influence of intermolecular forces, Numerical simulation of bubble growth in film boiling using a coupled level-set and volume-of-fluid method, Dynamics of thin free films with reaction-driven density and viscosity variations, Three-dimensional simulation of instabilities and rivulet formation in heated falling films, Shear-driven flows of locally heated liquid films, Spin-coating of vertically stratified thin liquid films, Interfacial instability due to evaporation and convection: linear and nonlinear analyses, Two-fluid pressure-driven channel flow with wall deposition and ageing effects, Interfacial phase change effects on the stability characteristics of thin viscoelastic liquid film down a vertical wall, Solutions with isolated point ruptures for a semilinear elliptic equation in \(\mathbb{R}^ 2\) with a non-Lipschitz nonlinearity., Asymptotic behavior for logarithmic diffusion, Problems of evaporative convection (review), Numerical investigation of heat and mass transfer from an evaporating meniscus in a heated open groove, Finite Morse index steady states of van der Waals force driven thin film equations, The theoretical simulation of the effect of solid-liquid contact angle on the critical heat flux of saturated water jet boiling on stagnation zone, Evaporation, viscous flow, and electrostatic interaction of charged interfaces in the apparent contact line region, Hausdorff dimension of ruptures for solutions of a semilinear elliptic equation with singular nonlinearity, The Effect of Crystal-Melt Surface Energy on the Stability of Ultra-Thin Melt Films, Long-wave instabilities of heated falling films: two-dimensional theory of uniform layers, Nonlinear stability and rupture of ultrathin free films, On contact angles in evaporating liquids, Thermal singularities in film rupture, The strong influence of substrate conductivity on droplet evaporation, New asymptotic heat transfer model in thin liquid films, On thin evaporating drops: When is the -law valid?, On the structure of positive solutions to an elliptic problem with a singular nonlinearity, The effect of phase change on stability of convective flow in a layer of volatile liquid driven by a horizontal temperature gradient, Effect of wind stress on the dynamics and stability of nonisothermal power-law film down an inclined plane, Thin-liquid-film flow on three-dimensional topographically patterned rotating cylinders, Symbolic computation as a tool for high-order long-wave stability analysis of thin film flows with coupled transport processes, On modeling evaporation, Nonlocal description of evaporating drops, Diffusion-limited evaporation of thin polar liquid films, Collision versus collapse of droplets in coarsening of dewetting thin films, Thermocapillarity-induced vortexes and liquid film dynamics on structured heated walls, Dynamics of three-dimensional thin film rupture, Film evolution of a spherical soap bubble, Stokes flow near the contact line of an evaporating drop, Effect of disjoining pressure in a thin film equation with non-uniform forcing, Dynamics of hygroscopic aqueous solution droplets undergoing evaporation or vapour absorption, Positive single rupture solutions to a semilinear elliptic equation, Effects of convection and diffusion of the vapour in evaporating liquid films, Droplet evaporation in inert gases, Sessile drop evaporation in a gap – crossover between diffusion-limited and phase transition-limited regime, Suppression of the Rayleigh-Taylor instability of thin liquid films by the Marangoni effect, Marangoni instability in ultrathin two-layer films, Decomposition driven interface evolution for layers of binary mixtures. I. Model derivation and stratified base states, Stability analysis of thin film flow along a heated porous wall, Linear stability of a volatile liquid film flowing over a locally heated surface, Nonmodal and nonlinear dynamics of a volatile liquid film flowing over a locally heated surface, Interfacial instability induced by lateral vapor pressure fluctuation in bounded thin liquid-vapor layers, Oscillatory instability and rupture in a thin melt film on its crystal subject to freezing and melting, Detailed numerical investigation of the drop aerobreakup in the bag breakup regime, Comparison of one-sided and diffusion-limited evaporation models for thin liquid droplets, The role of exponential asymptotics and complex singularities in self-similarity, transitions, and branch merging of nonlinear dynamics, Dynamics of the interaction of a pair of thin evaporating droplets on compliant substrates, Coarsening of Thin Films with Weak Condensation, Unnamed Item, Bifurcation in a thin liquid film flowing over a locally heated surface, Fluid flow and heat transfer in a dual-wet micro heat pipe, The stability of evaporating thin liquid films in the presence of surfactant. I. Lubrication approximation and linear analysis, Stability of an evaporating thin liquid film, Structure Formation in Thin Liquid Films, Instability of a thin film of chemotactic active suspension
Cites Work
- Linear stability of liquid films with interfacial phase change
- Stability of condensate flow down a vertical wall
- The stability of an evaporating liquid surface
- The hydrodynamic stability of rapidly evaporating liquids at reduced pressure
- Jump conditions and entropy sources in two-phase systems. Local instant formulation
- The hydrodynamic stability of an evaporating liquid
- Thermocapillary Instabilities
- Long Waves on Liquid Films