A physically-based Mie–Grüneisen equation of state to determine hot spot temperature distributions

Autor: David E. Kittell, Cole Yarrington
Rok vydání: 2016
Předmět:
Zdroj: Combustion Theory and Modelling. 20:941-957
ISSN: 1741-3559
1364-7830
DOI: 10.1080/13647830.2016.1201145
Popis: A physically-based form of the Mie–Gruneisen equation of state (EOS) is derived for calculating 1d planar shock temperatures, as well as hot spot temperature distributions from heterogeneous impact simulations. This form utilises a multi-term Einstein oscillator model for specific heat, and is completely algebraic in terms of temperature, volume, an integrating factor, and the cold curve energy. Moreover, any empirical relation for the reference pressure and energy may be substituted into the equations via the use of a generalised reference function. The complete EOS is then applied to calculations of the Hugoniot temperature and simulation of hydrodynamic pore collapse using data for the secondary explosive, hexanitrostilbene (HNS). From these results, it is shown that the choice of EOS is even more significant for determining hot spot temperature distributions than planar shock states. The complete EOS is also compared to an alternative derivation assuming that specific heat is a function of temperature...
Databáze: OpenAIRE