Equilibrium Flash Calculation for Non-ideal Multicomponent Systems

Numerical Study of Non - Equilibrium Air Dissociation For Calculation of Electron Density in Hypersonic Flow

Continuum Formulation for Non-Equilibrium Shock Structure Calculation

Are extensions to continuum formulations for solving fluid dynamic problems in the transition-to-rarefied regimes viable alternatives to particle methods? It is well known that for increasingly rarefied flowfields, the predictions from continuum formulation, such as the Navier-Stokes equations lose accuracy. These inaccuracies are attributed primarily to the linear approximations of the stress ...

Mathematical study of non-ideal electrostatic correlations in equilibrium electrolytes

We undertake the mathematical analysis of a model describing equilibrium binary electrolytes surrounded by charged solid walls. The problem is formulated in terms of the electrostatic potential and the ionic concentrations which have prescribed spatial mean values. The free energy of the system is decomposed as the difference of the internal energy and entropy functionals. The entropy functiona...

Transitions in non equilibrium systems

We study numerically the transition between organized and disorganized states of three non equilibrium systems in their respective scaling regimes. The first system is the Poisson/coalesce random walk (PCRW) where the particles describe independent random walks and when two particles meet they could coalesce with probability k, otherwise, they interchange their positions. The second system is a...

Asphaltene Deposition Modeling during Natural Depletion and Developing a New Method for Multiphase Flash Calculation

The specific objective of this paper is to develop a fully implicit compositional simulator for modeling asphaltene deposition during natural depletion. In this study, a mathematical model for asphaltene deposition modeling is presented followed by the solution approach using the fully implicit scheme. A thermodynamic model for asphaltene precipitation and the numerical methods for performing f...