Transient Rayleigh–Bénard–Marangoni convection due to evaporation: a linear non-normal stability analysis

DOI10.1017/S0022112009993417zbMath1189.76198arXiv0911.2088MaRDI QIDQ3573254

Béatrice Guerrier, Thomas Boeck, Maurice Rossi, Frédéric Doumenc

Publication date: 30 June 2010

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

Full work available at URL: https://arxiv.org/abs/0911.2088

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) Capillarity (surface tension) for incompressible viscous fluids (76D45) Liquid-gas two-phase flows, bubbly flows (76T10) Convection in hydrodynamic stability (76E06)

Related Items

Surface-temperature-induced Marangoni effects on developing buoyancy-driven flow ⋮ Thermal instability in a time-dependent base state due to sudden heating ⋮ Rayleigh–Taylor unstable condensing liquid layers with nonlinear effects of interfacial convection and diffusion of vapour ⋮ Marangoni instability in a viscoelastic binary film with cross-diffusive effect ⋮ Transient growth and symmetrizability in rectilinear miscible viscous fingering ⋮ Optimal perturbations of gravitationally unstable, transient boundary layers in porous media ⋮ Simulation of transient Rayleigh-Bénard-Marangoni convection induced by evaporation ⋮ A Two-Phase Model for Evaporating Solvent-Polymer Mixtures ⋮ Onset of transient natural convection in porous media due to porosity perturbations ⋮ Stability Analysis of Unsteady, Nonuniform Base States in Thin Film Equations ⋮ Biaxial extensional motion of an inertially driven radially expanding liquid sheet ⋮ Linear stability analysis of two fluid columns of different densities and viscosities in a gravity field ⋮ Consequences of viscous anisotropy in a deforming, two-phase aggregate. Part 1. Governing equations and linearized analysis

Cites Work

• Experimental characterization of buoyancy- and surface tension-driven convection during the drying of a polymer solution
• Bénard-Marangoni convection in a strongly evaporating fluid
• Stability and transition in shear flows
• Simulation of transient Rayleigh-Bénard-Marangoni convection induced by evaporation
• On convection cells induced by surface tension
• Non-modal growth of perturbations in density-driven convection in porous media
• Optimal disturbances and bypass transition in boundary layers
• Chemical pattern formation driven by a neutralization reaction. I. Mechanism and basic features
• The physics of evaporative and convective instabilities in bilayer systems: Linear theory
• On stability of streamwise streaks and transition thresholds in plane channel flows
• Reynolds-number-independent instability of the boundary layer over a flat surface: optimal perturbations
• Recent Developments in Rayleigh-Bénard Convection
• Time-periodic Heating of Rayleigh-Benard Convection
• Thermocapillary Instabilities
• Thermal instability in a horizontal fluid layer: effect of boundary conditions and non-linear temperature profile
• Modulation of Thermal Convection Instability
• The instability of a fluid layer with time-dependent heating
• Global stability of time-dependent flows: impulsively heated or cooled fluid layers
• On cellular convection driven by surface-tension gradients: effects of mean surface tension and surface viscosity