THE EQUATION OF A STATE OF POROUS MIXTURE OF CONDENSED SUBSTANCES WITH SPECIFIC HEAT THE DEPENDENCE ON THE TEMPERATURE

The work is devoted to a problem of the description of behavior of multispecies mixtures of various powders under shock-wave loading. At the description of a mixture the model of interacting and interpenetrating continua, the principles of which construction are stated in the monographies of R. I. Nigmatulin, is used. The equilibrium condition is satisfied by conditions of equality of pressure, temperatures and mass velocity of species. The presence of gas inside pores is taken into account. The porous mixture of the several condensed substances in thermodynamic equilibrium is represented as single-phase continuous medium with the equation of a state in the Mie-Grüneisen form, which parameters expressed in terms of the corresponding parameters of the species. The numerical calculations of shock adiabats for porous substances and porous mixtures of the condensed species are performed with use of various models of the equation of a state of a mixture taking into account: a) only elastic pressure and elastic energy; b) both elastic, and thermal terms with constant specific heat of substance and Grüneisen oefficient; c) elastic and thermal terms with specific heat of substance the dependence on the temperature and variable Grüneisen coefficient. The results of computations are compared with experimental data.

Keywords:
equation of state, porous mixture, shock adiabat.
УДК 532.593+536.711

THE EQUATION OF A STATE OF POROUS MIXTURE OF CONDENSED SUBSTANCES WITH SPECIFIC HEAT THE DEPENDENCE ON THE TEMPERATURE