Evaporative Deposition Patterns Revisited: Spatial Dimensions of the Deposit
arXiv:cond-mat/0408106 · doi:10.1103/PhysRevE.71.036313
Abstract
A model accounting for finite spatial dimensions of the deposit patterns in the evaporating sessile drops of colloidal solution on a plane substrate is proposed. The model is based on the assumption that the solute particles occupy finite volume and hence these dimensions are of the steric origin. Within this model, the geometrical characteristics of the deposition patterns are found as functions of the initial concentration of the solute, the initial geometry of the drop, and the time elapsed from the beginning of the drying process. The model is solved analytically for small initial concentrations of the solute and numerically for arbitrary initial concentrations of the solute. The agreement between our theoretical results and the experimental data is demonstrated, and it is shown that the observed dependence of the deposit dimensions on the experimental parameters can indeed be attributed to the finite dimensions of the solute particles. These results are universal and do not depend on any free or fitting parameters; they are important for understanding the evaporative deposition and may be useful for creating controlled deposition patterns.
34 pages, 14 figures, LaTeX; submitted to Physical Review E
References in corpus (2)
Cited by in corpus (84)
- Order-to-disorder transition in ring-shaped colloidal stains
- Patterns Formation in Drying Drops of Blood
- Pattern formation during the evaporation of a colloidal nanoliter drop: a numerical and experimental study
- How water droplets evaporate on a superhydrophobic substrate
- Evaporation-triggered microdroplet nucleation and the four life phases of an evaporating Ouzo drop
- Bubble puzzles: From fundamentals to applications
- Likelihood of survival of coronavirus in a respiratory droplet deposited on a solid surface
- Building micro-soccer-balls with evaporating colloidal fakir drops
- Patterned deposition at moving contact lines
- Gravitational effect in evaporating binary microdroplets
- Stability of Surface Nanobubbles: A Molecular Dynamics Study
- Evaporation-triggered segregation of sessile binary droplets
- Alternative mechanism for coffee-ring deposition based on active role of free surface
- Diffusive interaction of multiple surface nanobubbles and nanodroplets: shrinkage, growth, and coarsening
- Stokes flow near the contact line of an evaporating drop
- Segregation in desiccated sessile drops of biological fluids
- Stick-jump mode in surface droplet dissolution
- Self-wrapping of an ouzo drop induced by evaporation on a superamphiphobic surface
- Analytical solution of Stokes flow inside an evaporating sessile drop: Spherical and cylindrical cap shapes
- Avalanche of particles in evaporating coffee drops
- Applying Droplets and Films in Evaporative Lithography
- Role of natural convection in the dissolution of sessile droplets
- Analytical solution for inviscid flow inside an evaporating sessile drop
- Evaporation of a sessile colloidal water-glycerol droplet: Marangoni ring formation
- Spacial and temporal dynamics of the volume fraction of the colloidal particles inside a drying sessile drop
- Evaporating droplets on inclined plant leaves and synthetic surfaces: experiments and mathematical models
- Natural convection above circular disks of evaporating liquids
- The nascent coffee ring: how solute diffusion counters advection
- Contact-line deposits from multiple evaporating droplets
- Interfacial flows in sessile evaporating droplets of mineral water
- Evaporation of dilute sodium dodecyl sulfate droplets on a hydrophobic substrate
- Soluto-thermo-hydrodynamics influenced evaporation of sessile droplets
- Molecular dynamics simulations of the evaporation of particle-laden droplets
- From dot to ring: the role of friction on the deposition pattern of a drying colloidal suspension droplet
- Robust fadeout profile of an evaporation stain
- A macroscopic model for sessile droplet evaporation on a flat surface
- Sessile drop evaporation in a gap -- crossover between diffusion-limited and phase transition-limited regime
- Rayleigh-Taylor instability by segregation in an evaporating multi-component microdroplet
- Entrapment and Dissolution of Microbubbles Inside Microwells
- From coffee stains to uniform deposits: significance of the contact-line mobility
- Diffusion dominated evaporation in multicomponent lattice Boltzmann simulations
- Joint effect of advection, diffusion, and capillary attraction on the spatial structure of particle depositions from evaporating droplets
- Coffee-stain growth dynamics on dry and wet surfaces
- Minimum current for detachment of electrolytic bubbles
- A theoretical framework for comprehensive modeling of steadily fed evaporating droplets and the validity of common assumptions
- The model of drying sessile drop of colloidal solution
- Stokes flow in a drop evaporating from a liquid subphase
- Deposit Growth in the Wetting of an Angular Region with Uniform Evaporation
- Particle monolayer assembly in evaporating salty colloidal droplets
- Evaporation of non-circular droplets
- Physiochemical hydrodynamics of the phase segregation in an evaporating binary microdroplet
- The nascent coffee ring with arbitrary droplet contact set: an asymptotic analysis
- Water under the Ridge: Evaporation, Translation, Crumpling and Encapsulation of a Water Droplet atop a Liquid Polymeric Film
- The effect of the liquid layer thickness on the dissolution of immersed surface droplets
- Evaporating sessile droplets: solutal Marangoni effects overwhelm thermal Marangoni flow
- Micrometric particles twodimensional self-assembly during drying of liquid film
- Mathematical Modelling of Hydrophilic Ionic Fertiliser Diffusion in Plant Cuticles: Lipophilic Surfactant Effects
- Non-uniformly receding contact line breaks axisymmetric flow patterns
- Solutal Marangoni flow as the cause of ring stains from drying salty colloidal drops
- Effect of particle and substrate wettability on evaporation-driven assembly of colloidal monolayers
- Evaporation induced flow inside circular wells
- Holy memristor
- Coffee stain effect on a fibre from axisymmetric droplets
- Soft Condensation
- Compound redistribution due to droplet evaporation on a thin polymeric film: theory
- Small Leidenfrost droplet dynamics
- Marangoni flow driven hysteresis and azimuthal symmetry breaking in evaporating binary droplets
- Physicochemical Hydrodynamics of Droplets out of Equilibrium: A Perspective Review
- Mass transfer during drying of colloidal film beneath a patterned mask that contains a hexagonal array of holes
- Competing advection decelerates droplet evaporation on heated surfaces
- Internal flow and concentration in neighbouring evaporating binary droplets and rivulets
- Advection kinetics induced self assembly of colloidal nanoflakes into microscale floral structures
- Fluid flow structures in an evaporating sessile droplet depending on the droplet size and properties of liquid and substrate
- Evaporation-Induced Crystallization of Surfactants in Sessile Multicomponent Droplets
- Non-isothermal wetting during impact of millimeter size water drop on a flat substrate: numerical investigation and comparison with high-speed visualization experiments
- A Combined Computational and Experimental Investigation on Evaporation of a Sessile Water Droplet on a Heated Hydrophilic Substrate
- Effects of Substrate Heating and Wettability on Evaporation Dynamics and Deposition Patterns for a Sessile Water Droplet Containing Colloidal Particles
- Pattern formation in desiccated sessile colloidal droplets with salt admixture: Short review
- Local evaporation flux of deformed liquid drops
- Interfacial temperature measurements, high-speed visualization and finite-element simulations of droplet impact and evaporation on a solid surface
- Simultaneous evaporation and imbibition of a droplet on a flooded porous substrate
- Simple Model of Shape Evolution of Desiccated Colloidal Sessile Drop
- A finite-element model for computing fluid flow inside a sessile evaporating droplet on a solid surface
- Analysis of Profile and Morphology of Colloidal Deposits obtained from Evaporating Sessile Droplets