A Simulation System for Diffusive Oxidation of Silicon:One-Dimensional Analysis

1991 ◽  
Vol 46 (11) ◽  
pp. 955-966 ◽  
Author(s):  
Ulrich Weinert ◽  
Ernst Rank
Keyword(s):  
Thermal Oxidation ◽  
Silicon Oxide ◽  
Simulation System ◽  
One Dimensional ◽  
Pure Silicon ◽  
Diffusive Interface ◽  
Model Equations ◽  
The One ◽  
Sharp Interfaces ◽  
Silicon Silicon

AbstractThermal oxidation of silicon is described as a three-component thermodynamic local process involving silicon, silicon oxide, and oxygen molecules. A simplified system of model equations is used to demonstrate the evoluton of the Si-SiO2 interface. For the one-dimensional case the equivalence with the model of Deal and Grove could be shown analytically. For that purpose effective interface coordinates have been introduced which establish the connection between the conventional concept of sharp interfaces and our "diffusive" interface, i.e., a transition region between pure silicon and pure silicon oxide.

scholarly journals NUMERICAL ANALYSIS OF THE LEVERETT FUNCTION FORM INFLUENCE FOR THE RAPPOPORT - LEAS EQUATION SOLUTIONS

2018 ◽  
pp. 81-88
Author(s):  
I. G. Telegin ◽  
O. B. Bocharov
Keyword(s):  
Relative Phase ◽  
Radial Flow ◽  
Water Saturation ◽  
Capillary Forces ◽  
Immiscible Liquids ◽  
Deformable Porous Medium ◽  
One Dimensional ◽  
Isothermal Case ◽  
Model Equations ◽  
The One

The article deals with the classical mathematical model of filtration of two immiscible liquids in a non-deformable porous medium taking into account capillary forces. It is the Muskat - Leverett model. The model is based on the experimentally determined functions of water saturation - relative phase permeability and the Leverett’s function of capillary pressure. In the article we study numerically the one-dimensional radial flow with a given flow rate of the mixture. In this case, the Muskat - Leverett model equations are reduced to one quasilinear hyperbolic-parabolic equation for water saturation - Rappoport-Leas equation. The article investigates the influence of the representation of capillary forces in porous media of different structures on the behavior of solutions in the isothermal case.

scholarly journals Compound viscous thread with electrostatic and electrokinetic effects

2012 ◽  
Vol 701 ◽  
pp. 171-200 ◽  
Author(s):  
D. T. Conroy ◽  
O. K. Matar ◽  
R. V. Craster ◽  
D. T. Papageorgiou
Keyword(s):  
Electric Field ◽  
Fluid Viscosity ◽  
One Dimensional ◽  
The Core ◽  
Jet Breakup ◽  
Voltage Potential ◽  
Leaky Dielectric Model ◽  
Model Equations ◽  
The One ◽  
Wave Limit

AbstractBreakup of an electrified viscous compound jet, surrounded by a dielectric gas, is investigated theoretically. The fluids are considered to be electrolytes and the core fluid viscosity is assumed to be much larger than that of the annular fluid. Axisymmetric configurations are considered with the three fluids bound by a cylindrical electrode that is held at a constant voltage potential. The model equations are investigated asymptotically in the long-wave limit, yielding two cases corresponding to a negligible surface charge with electrokinetic effects and a leaky dielectric model. A linear stability analysis for both cases is performed and the electrical effects are found to have a stabilizing effect, which is consistent with previous investigations of single electrified jet breakup at small wavenumbers. The one-dimensional equations are also solved numerically. The electric field is found to cause satellite formation in the core fluid, which does not occur in the purely hydrodynamic case, with the satellite size increasing with the strength of the electric field.

Exploring the Multidimensional Facets of Authoritarianism: Authoritarian Aggression and Social Dominance Orientation

2008 ◽  
Vol 67 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Stefano Passini
Keyword(s):  
Social Dominance ◽  
Factor Model ◽  
Three Dimensional ◽  
Social Dominance Orientation ◽  
Model Fit ◽  
Regression Analyses ◽  
One Dimensional ◽  
Confirmatory Factor ◽  
The One ◽  
Better Than

The relation between authoritarianism and social dominance orientation was analyzed, with authoritarianism measured using a three-dimensional scale. The implicit multidimensional structure (authoritarian submission, conventionalism, authoritarian aggression) of Altemeyer’s (1981, 1988) conceptualization of authoritarianism is inconsistent with its one-dimensional methodological operationalization. The dimensionality of authoritarianism was investigated using confirmatory factor analysis in a sample of 713 university students. As hypothesized, the three-factor model fit the data significantly better than the one-factor model. Regression analyses revealed that only authoritarian aggression was related to social dominance orientation. That is, only intolerance of deviance was related to high social dominance, whereas submissiveness was not.

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