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Currently, she is a professor of theoretical soft matter physics at the Curie Institute. She obtained her PhD in In she was made a professor of physical chemistry at Pierre-and-Marie-Curie University. Here she focused her research on phenomena involving mixing and on the physics of Interfaces.
Xianmin Xu 1 ,. Achdou, P. Le Tallec, F Valentin and O. Pironneau, Constructing wall laws with domain decomposition or asymptotic expansion techniques,, Compt. Methods Appl. Engrg , , Google Scholar. Alberti and A. DeSimone, Wetting of rough surfaces: A homogenization approach,, Proc. A , , Bonn, J. Eggers, J. Indekeu, J.
Meunier and E. Rolley, Wetting and spreading,, Rev. Bonn and D. Ross, Wetting transitions,, Rep. Caginalp, An analysis of a phase field model of a free boundary,, Arch. Rational Mech. Cassie and S. Baxter, Wettability of porous surfaces,, Trans. Faraday Soc. Cahn, Critical point wetting,, J. Choi, A. Tuteja, J. Mabry, R. Cohen and G. McKinley, A modified Cassie-Baxter relationship to explain contact angle hysteresis and anisotropy on non-wetting textured surfaces,, J.
Colloid Interface Sci. Erbil, The debate on the dependence of apparent contact angles on drop contact area or three-phase contact line: A review,, Surface Science Reports , 69 , Gao and T.
Modern Phy. Brochard-Wyart and D. Quere, Capillarity and Wetting Phenomena ,, Springer , Madureira and F. De Menech, Modeling of droplet breakup in a microfluidic t-shaped junction with a phase-field model,, Phys. E , 73 Mchale, Cassie and Wenzel: Were they really so wrong,, Langmuir , 23 , Marmur and E. Nevard and J. Panchagnula and S. Vedantam, Comment on how wenzel and cassie were wrong by gao and McCarthy,, Langmuir , 23 , Pantanka, On the modeling of hydrophyobic angles on rough surfaces,, Langmuir , 19 , Quere, Wetting and roughness,, Annu.
Wenzel, Resistance of solid surfaces to wetting by water,, Ind. Whyman, E. Bormashenko and T. Stein, The rigorous derivative of Young, Cassie-Baxter and Wenzel equations and the analysis of the contact angle hysteresis phenomenon,, Chem. Letters , , Wolansky and A. Marmur, Apparent contact angles on rough surfaces: The Wenzel equation revisited,, Colloids and Surfaces A , , Xu and X.
Xu, Modified Wenzel and Cassie equations for wetting on rough surfaces,, preprint , Young, An essay on the cohesion of fluids,, Philos. London , 95 , Tadahiro Oh , Yuzhao Wang. On global well-posedness of the modified KdV equation in modulation spaces. On a pore-scale stationary diffusion equation: Scaling effects and correctors for the homogenization limit. Reichstein and B. Parusinski's "Key Lemma" via algebraic geometry. Electronic Research Announcements , , 5: Dynamics of a food chain model with ratio-dependent and modified Leslie-Gower functional responses.
Multi-step spectral gradient methods with modified weak secant relation for large scale unconstrained optimization. Ronald E. Positivity preserving discrete model for the coupled ODE's modeling glycolysis. Conference Publications , , Special : Enkhbat Rentsen , Battur Gompil. Generalized Nash equilibrium problem based on malfatti's problem.
Model reduction for fractional elliptic problems using Kato's formula. Jiangxing Wang. Convergence analysis of an accurate and efficient method for nonlinear Maxwell's equations. Kun Hu , Yuanshi Wang. Dynamics of consumer-resource systems with consumer's dispersal between patches. Advances in Mathematics of Communications , , 3 3 : Numerical resolution by the quasi-reversibility method of a data completion problem for Maxwell's equations.
Vladimir Georgiev , Sandra Lucente. Focusing nlkg equation with singular potential. On the strauss index of semilinear tricomi equation. On the uniqueness of solutions of a semilinear equation in an annulus.
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American Institute of Mathematical Sciences. Previous Article Stability analysis of a two-strain epidemic model on complex networks with latency. In this paper, we consider the derivation of the modified Wenzel's and Cassie's equations for wetting phenomena on rough surfaces from a three-dimensional phase field model. We derive an effective boundary condition by asymptotic two-scale homogenization technique when the size of the roughness is small. The modified Wenzel's and Cassie's equations for the apparent contact angles on the rough surfaces are then derived from the effective boundary condition.
Keywords: the modified Cassie's equation , The modified Wenzel's equation , homogenization. Citation: Xianmin Xu. Analysis for wetting on rough surfaces by a three-dimensional phase field model. References:  Y. Google Scholar  R. Google Scholar  G.
Domon et L. Duquet, F Paris, France E-mail: julien. The spreading of a liquid over a solid material is a key process in a wide range of applications. In this work we provide a theoretical framework, based on the nonlinear theory of discontinuities, to describe the behavior of a triple line on a soft material. We show that the contact line motion is opposed both by nonlinear localized capillary and visco-elastic forces. We give an explicit analytic formula relating the dynamic contact angle of a moving drop to its velocity for arbitrary rheology.
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In this paper, we systematically investigate the static wetting behavior of a liquid ring in a cylindrical capillary tube. We obtain analytical solutions of the axisymmetric Young—Laplace equation for arbitrary contact angles. We find that, for specific values of the contact angle and the volume of the liquid ring, two solutions of the Young—Laplace equation exist, but only the one with the lower value of the total interfacial energy corresponds to a stable configuration. Based on a numerical scheme determining configurations with a local minimum of the interfacial energy, we also discuss the stability limit between axisymmetric rings and non-axisymmetric configurations. Beyond the stable regime, a liquid plug or a sessile droplet exists instead of a liquid ring, depending on the values of the liquid volume and the contact angle. The stability limit is characterized by specific critical parameters such as the liquid volume, throat diameter, etc.
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Xianmin Xu 1 ,. Achdou, P. Le Tallec, F Valentin and O. Pironneau, Constructing wall laws with domain decomposition or asymptotic expansion techniques,, Compt.
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Early morning light forms tiny rainbows as it passes through the beads of dew strung along the filaments composing your hard-earned handiwork. Why beads? What happened to the water in between each drop? To answer this question, our eight-legged intellectual must first gain an understanding of how liquids such as water actually wet surfaces and why such liquids fail to wet other surfaces. The problem encompasses such subjects as liquids rising up capillary tubes, paint spreading on solid surfaces or liquids spreading on other liquids, the fascinating subject of bubble formation and stability, and why water streams down some surfaces and forms droplets on other surfaces.
Women in Science: Materials View all 34 Articles. This work consists in an experimental investigation of forced dynamic wetting of molten polymers on cellulosic substrates and an estimation of models describing this dynamic. A previous work of Pucci et al. For lower Ca , a change in the dynamic wetting behavior was observed. Here, partially wetting liquids polyethylene glycols, a. PEGs at different molecular weight Mn were used at temperatures above their melting point to investigate the dynamic wetting behavior on cellulosic substrates for a large range of Ca.
Author: Pierre-Gilles de Gennes, Francoise Brochard-Wyart, David Quere. Description:The study of capillarity is in the midst of a veritable.
The wettability of droplets on a low surface energy solid is evaluated experimentally and theoretically. Water-ethanol binary mixture drops of several volumes are used. In the experiment, the droplet radius, height, and contact angle are measured. Analytical equations are derived that incorporate the effect of gravity for the relationships between the droplet radius and height, radius and contact angle, and radius and liquid surface energy. All the analytical equations display good agreement with the experimental data. It is found that the fundamental wetting behavior of the droplet on the low surface energy solid can be predicted by our model which gives geometrical information of the droplet such as the contact angle, droplet radius, and height from physical values of liquid and solid.
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Haynes ManualsThe Haynes What is offered here is not a comprehensive review of the latest research but rather a compendium of principles designed for the undergraduate student and for readers interested in the physics underlying these phenomena. Categories: Physics Thermodynamics and Statistical Mechanics.
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Capillarity and wetting phenomena: drops, bubbles, pearls, waves, Author: Pierre-Gilles de Gennes; Francoise Brochard-Wyart; David Quere. Categories: Chemistry File Info: pdf 21 Mb.