scholarly journals Density of Solutions of Formaldehyde in Water and Alcohols

AIChE Journal ◽  
2022 ◽  
Author(s):  
Maximilian Dyga ◽  
Andreas Keller ◽  
Hans Hasse
Keyword(s):  
Density Of Solutions

Calculation of the density of solutions from the structural data of their components

1995 ◽  
Vol 36 (3) ◽  
pp. 514-516 ◽  
Author(s):  
V. A. Potyomkin ◽  
A. V. Belik ◽  
V. B. Krasilnikov
Keyword(s):  
Structural Data ◽  
Density Of Solutions

Concentration Dependences of the Surface Tension and Density of Solutions of Acetone–Ethanol–Water Systems at 293 K

2018 ◽  
Vol 92 (5) ◽  
pp. 1041-1042
Author(s):  
R. Kh. Dadashev ◽  
R. S. Dzhambulatov ◽  
V. Kh. Mezhidov ◽  
D. Z. Elimkhanov
Keyword(s):  
Surface Tension ◽  
Water Systems ◽  
Concentration Dependences ◽  
Density Of Solutions

THE WAVE EQUATION ON A THIN DOMAIN: ENERGY DENSITY AND OBSERVABILITY

2004 ◽  
Vol 01 (02) ◽  
pp. 351-366 ◽  
Author(s):  
GILLES FRANCFORT ◽  
PATRICK GÉRARD
Keyword(s):  
Wave Equation ◽  
Energy Density ◽  
Three Dimensional ◽  
Cauchy Data ◽  
Linear Wave ◽  
Linear Wave Equation ◽  
Uniform Observability ◽  
Limit Energy ◽  
Dimensional Domain ◽  
Density Of Solutions

We compute the limit energy density of solutions of the linear wave equation in a thin three-dimensional domain, if the wavelength of the Cauchy data is bounded from below by the thickness of the domain. As an application, we obtain a geometric criterion for the uniform observability of solutions of a damped wave equation on such a domain.

scholarly journals Allen–Cahn approximation of mean curvature flow in Riemannian manifolds, II: Brakke's flows

2015 ◽  
Vol 17 (05) ◽  
pp. 1450041
Author(s):  
Adriano Pisante ◽  
Fabio Punzo
Keyword(s):  
Riemannian Manifolds ◽  
Mean Curvature ◽  
Mean Curvature Flow ◽  
Initial Conditions ◽  
Curvature Flow ◽  
Monotonicity Formula ◽  
Uniform Estimates ◽  
Cahn Equation ◽  
Motion By Mean Curvature ◽  
Density Of Solutions

We prove convergence of solutions to the parabolic Allen–Cahn equation to Brakke's motion by mean curvature in Riemannian manifolds with Ricci curvature bounded from below. Our results hold for a general class of initial conditions and extend previous results from [T. Ilmanen, Convergence of the Allen–Cahn equation to the Brakke's motion by mean curvature, J. Differential Geom. 31 (1993) 417–461] even in Euclidean space. We show that a sequence of measures, associated to energy density of solutions of the parabolic Allen–Cahn equation, converges in the limit to a family of rectifiable Radon measures, which evolves by mean curvature flow in the sense of Brakke. A key role is played by nonpositivity of the limiting energy discrepancy and a local almost monotonicity formula (a weak counterpart of Huisken's monotonicity formula) proved in [Allen–Cahn approximation of mean curvature flow in Riemannian manifolds, I, uniform estimates, to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci.; arXiv:1308.0569], to get various density bounds for the limiting measures.

The density of solutions to multifractional stochastic Volterra integro-differential equations

2016 ◽  
Vol 130 ◽  
pp. 176-189 ◽  
Author(s):  
Tien Dung Nguyen
Keyword(s):  
Differential Equations ◽  
Density Of Solutions

The density of solutions of nickel in liquid bismuth at 800° C

1963 ◽  
Vol 10 (4) ◽  
pp. 363-364
Author(s):  
L.E. Richards ◽  
S.W. Strauss
Keyword(s):  
Liquid Bismuth ◽  
Density Of Solutions

The Density of Solutions of Alkali Metal Halides in Liquid Ammonia

1936 ◽  
Vol 58 (1) ◽  
pp. 15-18 ◽  
Author(s):  
Warren C. Johnson ◽  
Robert I. Martens
Keyword(s):  
Alkali Metal ◽  
Liquid Ammonia ◽  
Metal Halides ◽  
Alkali Metal Halides ◽  
Density Of Solutions

scholarly journals Choice of tracers for the evaluation of spray deposits

2005 ◽  
Vol 62 (5) ◽  
pp. 440-445 ◽  
Author(s):  
Luiz Antonio Palladini ◽  
Carlos Gilberto Raetano ◽  
Edivaldo Domingues Velini
Keyword(s):  
Surface Tension ◽  
Qualitative Method ◽  
Spray Deposition ◽  
Brilliant Blue ◽  
Sodium Fluorescein ◽  
Visual Evaluation ◽  
Tracer Solution ◽  
Citrus Leaves ◽  
Density Of Solutions

Tracer substances, used to evaluate spraying effectiveness, ordinarily modify the surface tension of aqueous solutions. This study aimed to establish a method of using tracers to evaluate distribution and amount of spray deposits, adjusted to the surface tension of the spraying solution. The following products were tested: 0.15% Brilliant Blue, 0.15% Saturn Yellow in 0.015% Vixilperse lignosulfonate, and 0.005% sodium fluorescein, and mixtures of Brilliant Blue plus Saturn Yellow and Brilliant Blue plus sodium fluorescein at the same concentrations. Solutions were deposited on citrus leaves and stability was determined by measuring fluorescence and optical density of solutions without drying, dried in the dark and exposed to sunlight for 2, 4 and 8 h. These values were compared to those obtained directly in water. The static surface tension of the tracer solution was determined by weighing droplets formed during a period of 20 to 40 seconds. The Brilliant Blue and Saturn Yellow mixture at 0.15% was stable under all conditions tested. It was not absorbed by the leaves and maintained the same surface tension as that of water, thus permitting concentration adjustment to the same levels used for agrochemical products, and allowing the development of a qualitative method based on visual evaluation of the distribution of the pigment under ultraviolet light and of a quantitative method based on the determination of the amount of the dye deposited in the same solution. Spray deposition could be evaluated at different surface tensions of the spraying solution, simulating the effect of agrochemical formulations.

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