Shock jump relations for multiphase mixtures with stiff mechanical relaxation

摘要: Examples of multiphase mixtures for which velocity and pressure relaxation are a stiff phenomenon involved in many practical applications dealing with condensed phase mixtures, solid alloys, propellants explosives, specific composite materials, micro- nano-structured etc. Shock relations the mixture necessitate determination volume fraction jump or any other thermodynamic variable jump. Examination shock dispersion mechanism suggests such relations. These Hugoniots compatible energy equation. The corresponding model is conservative symmetric. It fulfils single-phase limit guarantees positivity. validated over large set experimental data provide remarkable agreement.