4 edition of Instability of liquid surfaces and the formation of drops found in the catalog.
by Courant Institute of Mathematical Sciences, New York University in New York
Written in English
|Statement||by Joseph B. Keller, and Ignace Kolodner.|
|The Physical Object|
|Number of Pages||14|
We propose to study the dynamic behavior of thin films and drops of nematic LCs. The specific objectives of this proposal are three fold. (1) Experimental study on the deformation, pattern formation and phase transition of thin LC films on smooth and patterned surfaces; (2) Development of long-wave models from the nematohydrodynamic transport equations and . Decay exponents and diffraction coefficients for surface waves on surfaces of non-constant curvature by Keller, Joseph B at - the best online ebook storage. Download and read online for free Decay exponents and diffraction coefficients for surface waves on surfaces of non-constant curvature by Keller, Joseph B4/5(4).
We also leave out from our discussion sessile drops describing works on soft or liquid surfaces. As the liquid evaporates with time, the drop can shrink in two ways  (Figure 3): (1) The TPCL remains "pinned" to the substrate, leaving the circular solid-liquid contact surface constant; this is referred to as the "Constant Contact Radius (CCR. fracture.” Within this conceptual model, fractures would contain continuous water only at saturation values that approach one. In arid regions, where infiltration rates are low and rocks may be expected to have low saturation values, these extensions of the capillary conceptual model to fractures predicted that fracture flow would be virtually nonexistent in thick vadose zones.
Liquid drops on slender structures: From partial wetting to insect adhesion Dominic Vella University of Oxford, UK Soft surfaces are wetted by small liquid drops in a range of scenarios: eye-lashes get wet when we cry while insects use small scale droplets to walk on the ceiling. I will discuss a range of problems in. The formation of facets—flat crystalline surfaces—is a nearly ubiquitous phenomenon in crystal growth. Faceting plays a major role in guiding the growth of snow crystals. Once a cloud droplet freezes, the expanding crystal develops facets because some crystalline surfaces accumulate material more slowly than others.
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Instability of liquid surfaces and the formation of drops [Keller, Joseph B, Kolodner, Ignace] on *FREE* shipping on qualifying offers. Instability of liquid surfaces and the formation of dropsAuthor: Joseph B Keller, Ignace Kolodner. Excerpt from Instability of Liquid Surfaces and the Formation of Drops, Vol.
2: A Refined Theory In an earlier paper  we showed how the notion of Taylor instability can be used to explain the break-up of accelerated thin liquid sheets into drops, and how on the basis of this theory the drop sizes can be : Ignace I.
Kolodner. As analyzed in Worked Example and Problems andwhen two surfaces are separated, another type of instability could precede the Rayleigh instability. This instability would occur when the energy of one or more isolated droplets on the surfaces is less than that of the bridge, again for the same total volume of liquid.
The analysis is based on the observation that the instability of the liquid sheet, i.e., the formation of the fingers at the spreading front, develops in the extremely early stages of droplet impact.
The surface instability, dynamics, morphology, and spontaneous dewetting of a thin liquid film on chemically heterogeneous substrates are studied on the basis of 3D nonlinear simulations. surfaces), at which an eﬀective interfacial (or surface) tension acts.
Surface tension σ has the units of force/length or equivalently energy/area, and so may be thought of as a negative surface pressure, or, equivalently, as a line tension acting in all directions parallel to the. A drop or droplet is a small column of liquid, bounded completely or almost completely by free surfaces.A drop may form when liquid accumulates at the lower end of a tube or other surface boundary, producing a hanging drop called a pendant drop.
Drops may also be formed by the condensation of a vapor or by atomization of a larger mass of liquid. Abstract. In this chapter we are concerned with the mechanisms and the underlying physics of the formation and breakup of bubbles and drops. The mechanisms for formation and breakup (or collapse) are fundamentally different depending on whether the processes involve phase change or Cited by: 2.
Capillary instability of long annular viscous liquid layers coating the surface of a cylindrical wire is studied. Effects of Reynolds number, Re, initial disturbance wave numbers, k, and wire radii, s on the growth rate of the instability are considered.
The initial disturbance amplitude is chosen as 5% of the initial unperturbed liquid by: This paper presents a new theory of droplet formation during condensation of water on a hydrophilic surface. The theory uses hydration, electrostatic, van der Waals, and elastic strain interactions between a hydrophilic solid surface and a water film, and shows that contributions to the disjoining pressure are dominated by hydration forces for films thinner than 3 by: The breakup of liquid sheets has been investigated in terms of hydrodynamic stability via linear analysis by Squire, Hagerty and Shea, Li, etc.
nonlinear effect has been studied by Clark and Dombrowski up to the second order, and by Rangel and Sirignano through numerical simulation employing vortex discretization method.
Surface tension is the tendency of liquid surfaces to shrink into the minimum surface area possible. Surface tension allows insects (e.g. water striders), usually denser than water, to float and slide on a water surface. At liquid–air interfaces, surface tension results from the greater attraction of liquid molecules to each other (due to cohesion) than to the molecules in the air.
Mao, in Advances in Technical Nonwovens, Wettability and contact angle. Wettability of a nonwoven fabric refers to its ability to be wetted by liquid, and it is determined by the balance of surface energy in the interface between air, liquid, and solid materials (fibre or fabric).
Wetting of a fabric is the initial behaviour of the nonwoven fabric when it is brought into. Effect of Oil Drops and Particulates on the Stability of Foams Fig. Sketch of an experimental cell for measurements with vertical films formed by pulling up a glass frame out of the surfactant solution.
One can use a simple rectangular frame (up-right) or the "three-leg" frame constructed by Koczo and Racz . The formed vertical. From droplet formation to final applications, this practical book presents the subject in a comprehensive and clear form, using only content derived from the latest published ng at the very beginning, the topic of fluid mechanics is explained, allowing for a suitable regime for printing inks to subsequently be selected.
There then follows a discussion. The kinetics of thinning of liquid bridges during the formation of surfactant-laden aqueous drops was studied for solutions of five surfactants: cationic, anionic, and nonionic, with values of cmc in the range –60 mM.
The investigated concentrations of the surfactants varied over 2 orders of magnitude including those below and above by: We outline some recent developments in the theoretical description of structure formation in thin liquid films.
The main focus is systems involving a single layer of liquid on a solid substrate that can be described using an evolution equation for the film thickness by: A.
Worthington, “ On the form assumed by drops of liquids falling vertically on a horizontal plate,” Proc. Soc. Lon (). Google Scholar Crossref; 3.
Prosperettiand H. Og̃uz, “ The impact of drops on liquid surfaces and the underwater noise of rain,” Annu. Rev. Fluid Mech. 25, (). Google Scholar Crossref Cited by: () Kinetics of liquid bridges and formation of satellite droplets: Difference between micellar and bi-layer forming solutions.
Colloids and Surfaces A: Physicochemical and Engineering AspectsCited by: Examples covered thoroughly in this book include the formation of drops and bubbles, the propagation of a crack and the formation of a shock in a gas.
Aimed at a broad audience, this book provides the mathematical tools for understanding singularities and explains the many common features in their mathematical by:. Surface tension is an effect where the surface of a liquid is strong.
The surface can hold up a weight, and the surface of a water droplet holds the droplet together, in a ball shape. Some small things can float on a surface because of surface tension. We report the drop impact characteristics on four hydrophobic surfaces with different well-scale structures (smooth, nano, micro, and hierarchical micro/nano) and the effects of those structures on the behavior of water drops during impact.
The specimens were fabricated using silicon wet etching, black silicon formation, or the combination of these by: When a colloidal droplet is deposited on a solid substrate at ambient condition, it will experience the processes of wetting and drying spontaneously.
These ostensibly simple and ubiquitous processes involve numerous physics: droplet spreading and wetting, three-phase contact line motion, flow fields inside droplets, and mass transportation within droplets during by: 2.