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MG Velarde

Publications and source records attributed to MG Velarde.

16 recordsLinked to original sources

Spreading of Surfactant Solutions over Hydrophobic Substrates.

The spreading of surfactant solutions over hydrophobic surfaces is considered from both theoretical and experimental points of view. Water droplets do not wet a virgin solid hydrophobic substrate. It is shown that the transfer of surfactant molecules from the water droplet onto the hydrophobic surface changes the wetting characteristics in front of the drop on the three-phase contact line. The surfactant molecules increase the solid-vapor interfacial tension and hydrophilize the initially hydrophobic solid substrate just in front of the spreading drop. This process causes water drops to spread over time. The time of evolution of the spreading of a water droplet is predicted and compared with experimental observations. The assumption that surfactant transfer from the drop surface onto the solid hydrophobic substrate controls the rate of spreading is confirmed by our experimental observations. Copyright 2000 Academic Press.

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Surface Tension and Dynamic Contact Angle of Water in Thin Quartz Capillaries.

The surface tension of water has been measured in quartz capillaries with radii from 200 down to 40 nm. It appears that the surface tension does not differ from the known (bulk) values in the temperature range from 8 to 70 degrees C, within 1% experimental error. The dynamic contact angle, theta(d), vanishes when the capillary surface is covered with a wetting film left behind the receding meniscus. In the case of a dry surface, theta(d) depends on the velocity of the meniscus motion. The results obtained do not agree with presently available theoretical predictions from hydrodynamic theories of dynamic contact angles. Rather the kinetics of water vapor adsorption ahead of the moving meniscus seems to be the major controlling agent of the dynamic contact angle. Copyright 2000 Academic Press.

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Dynamics of coupled gap solitons in diatomic lattices with cubic and quartic nonlinearities

The dynamics of coupled gap solitons in diatomic lattices with cubic and quartic nonlinearities is considered analytically based on an extended quasidiscreteness approach. For various mass differences (and thus different gap widths of the phonon spectrum), the coupled gap solitons are shown to display very rich dynamical behavior and their properties are strongly dependent on the force-constant ratio K(2)(3)/(K2K4), where K(j)(j=1,2,3) are the force constants for the quadratic, cubic, and quartic parts of the intersite interaction potential, respectively. Several previous theoretical approaches for studying gap soliton dynamics in diatomic lattices are recovered in our scheme, and the relations between these methods are elucidated in a systematic way.

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Localized finite-amplitude disturbances and selection of solitary waves

It turns out that evolution of localized finite-amplitude disturbances in perturbed KdV equation is qualitatively different compared with conventional small-amplitude initial conditions. Namely, relatively fast solitary waves, with one and the same amplitude and velocity, are formed ahead of conventional chaotic-like irregular structures. The amplitude and velocity of the waves, obtained from the asymptotic theory, are in excellent agreement with numerics.

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Internal waves excited by the marangoni effect

Traveling periodic internal wave trains are generated in liquid layers during the absorption process of a miscible surface-active substance out of the vapor phase. In our nonstationary experimental runs, internal waves are excited by surface waves, which had been previously generated by a surface-tension-gradient-driven instability. The internal wave trains adjust their wave number by an Eckhaus instability. Close to the instability threshold narrow and extended pulses are observed. Furthermore, the wave trains can alter their traveling direction, i.e., one wave train traveling in one direction yields to another train, in general of different wave number, traveling in the opposite direction.

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Interfacial Wave Motions Due to Marangoni Instability.

In annular containers, traveling periodic wavetrains are generated in liquid layers due to the surface adsorption and subsequent liquid absorption of a miscible surface-active substance. First, localized nucleation of shock-wave-like disturbances are generated by the Marangoni effect. Then, these disturbances yield to surface-wave trains with three-dimensional features which travel through the annular container or to stationary source-and-sink states. To illustrate these phenomena we provide shadowgraph pictures of the waves, space-time diagrams showing the wave evolution and wave modulation, mean frequency of wavetrains as a function of the wave mode, surface deformation, peak-to-trough wave amplitudes, wave sources and sinks, and the time evolution of the estimated Marangoni number. Copyright 1999 Academic Press.

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Dissolution of a Drop on a Liquid Surface Leading to Surface Waves and Interfacial Turbulence

If a droplet of liquid with a lower surface tension than that of water and partially soluble in water is deposited on a free water surface, it spreads, dissolves, and simultaneously creates surface tension gradients leading to Marangoni instability and interfacial turbulence. In a first stage, if the solubility of the drop is not too high, there is formation of patterns that evolve in time, eventually leading to interfacial turbulence and droplet disappearance. These patterns, which on occasion last quite long time intervals, result from the interaction and collision of surface waves sustained by the surface tension gradient. These surface waves have been observed with a Schlieren device and their characteristics (e.g., shape, velocity) have been measured. Two types of surface wave profiles exist: wave profile like a "hump" (sech-like) or like a hydraulic jump (tanh-like). We have followed their time evolution and for head-on, oblique, and overtaking collisions we have measured their trajectories. We have been able to correlate our experimental findings with available theoretical, albeit qualitative, results known about waves and shocks.

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On the Spreading of an Insoluble Surfactant over a Thin Viscous Liquid Layer

Reported here are results of a theoretical and experimental study of the spreading of an insoluble surfactant over a thin liquid layer. Initial concentrations of surfactant above and below CMC have been considered. If the concentration is above CMC two distinct stages of spreading are found. (i) The first stage is the faster, and it is connected with micelle dissolution; (ii) the second stage is the slower, when the surfactant concentration falls below CMC. In the second stage, the formation of a dry spot in the center of the film is observed. A similarity solution of the corresponding equations for spreading gives good agreement with experimental observations.

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