Shock structure for the seven-equation, two-phase continuum-mixture model

Large Time-Step Numerical Scheme for the Seven-Equation Model of Compressible Two-Phase Flows

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 ...

Intermediate phase for a classical continuum model.

A number of years ago, Widom and Rowlinson proposed a continuum model of interacting spherical particles and provided compelling evidence that this model has a phase transition. A rigorous proof of the existence of a two-phase regime in this model emerged shortly thereafter and recently, this phase transition has been understood in geometric terms—as a percolation phenomenon. Nevertheless, prog...

The Effects of Pressure Difference in Nozzle’s two Phase Flow on the Quality of Exhaust Mixture

In the most application of nozzle with gas-liquid two-phase flow, the quality of mixture in exhaust of nozzle is the most important parameter as well as the flow velocity. On the other hand, in some industrial application, such as water injection in forced induction (turbocharged or supercharged) internal combustion engine the spray quality is the main goal of designing. In this case and for im...

A mixture-energy-consistent six-equation two-phase numerical model for fluids with interfaces, cavitation and evaporation waves

We model liquid-gas flows with cavitation by a variant of the six-equation single-velocity two-phase model with stiff mechanical relaxation of Saurel–Petitpas–Berry [J. Comput. Phys. 228 (2009), 1678–1712]. In our approach we employ phasic total energy equations instead of the phasic internal energy equations of the classical six-equation system. This alternative formulation allows us to easily...