Shock–particle-curtain-interaction study with a hyperbolic two-fluid model: Effect of particle force models.

The main goal of this work is to explore the closures used in two-fluid models to represent the interphase forces between particles and high-speed flows. To this aim, a hyperbolic two-fluid model for high-speed, monodisperse, gas–particle flow is employed to study the interaction of a thin, moderately dense (volume fraction α p < 0. 2) particle curtain impacted by an incident shock with Mach number M s. Mimicking the experimental setup, the numerical setup consists of a one-dimensional shock tube with a thin particle curtain in the driven section. This allows to validate the two-fluid model against recent experimental campaigns exploring a wide range of particle diameters, material densities, volume fractions, curtain widths and shock speeds. In general, the two-fluid model allows to reproduce the experimental data where the highest discrepancy is obtained in the configurations with the smallest M s. Attention is drawn to the particle-Mach-number (M p) dependence of the drag and added-mass coefficients, which have not yet been explored extensively in the literature. Also, the two-fluid model based on kinetic theory includes a particle pressure accounting for particle–fluid–particle (pfp) interactions. Thus, a parametric study is presented to evaluate the impact of the drag coefficient, the added-mass coefficient, and the magnitude of the pfp pressure. The complete drag model accounting for particle Reynolds number R e p , M p and α p is more accurate than previous drag models depending only on R e p and α p. Due the high particle-to-gas density ratio, the added-mass model has only a minor impact on the results. The magnitude of the pfp pressure has a significant impact on the spread of the curtain due to the high slip velocity. [Display omitted] • Assessment of a hyperbolic compressible two-fluid model is presented using experimental data for shock–particle interactions. • Drag modeling with Mach dependency is taken from very recent simulation data and compared to existing model without Mach effects. • Added-mass modeling from the two-fluid model is also explored. • The pfp pressure term arising from kinetic theory in the two-fluid model ensures hyperbolicity and has a visible effect on the curtain dynamics. [ABSTRACT FROM AUTHOR]