C υ (T) Equation of State for Liquids. Calculation of the Shock Temperature of Carbon Tetrachloride, Nitromethane, and Water in the 100-kbar Region

Abstract

The $C_{\upsilon }\mathrm{(T)}$ model for calculating shock temperature in liquids is presented as an extension of the Walsh–Christian model for metals. The model is based on an analysis showing shock temperature to be more sensitive to variations in $C_{\upsilon }$ than in ${\mathrm{(\partial p\hspace{0.17em}/\hspace{0.17em}\partial T)}}_{\upsilon }$ , and it takes account of the temperature dependence of $C_{\upsilon }$ . Measured shock temperatures for carbon tetrachloride are compared with calculated values as a test of the constant $C_{\upsilon }$ and $C_{\upsilon }\mathrm{(T)}$ models. The constant $C_{\upsilon }$ model overestimates shock temperature and is inappropriate to polyatomic liquids. The agreement obtained with the $C_{\upsilon }\mathrm{(T)}$ model suggests that it will be valuable for calculating more realistic values of temperature in shock initiation studies of liquids in the neighborhood of 100 kbar.