TY - JOUR
AU - Partom, Yehuda
PY - 2023/02/22
Y2 - 2024/06/17
TI - GammaV EOS for Detonation Products
JF - European Journal of Applied Sciences
JA - EJAS
VL - 11
IS - 1
SE - Articles
DO - 10.14738/aivp.111.14022
UR - https://journals.scholarpublishing.org/index.php/AIVP/article/view/14022
SP - 519-526
AB - <p>The standard way to start the derivation of an equation of state for detonation products is by defining a trial function P<sub>s</sub>(V) along the principal isentrope of the products (where P<sub>s</sub> is pressure and V is specific volume), with parameters to be determined from a cylinder expansion test. If that specific function turns out not to be good enough, a different function needs to be tried. We propose here a different approach which is to use instead the function g<sub>s</sub>(V), where g<sub>s</sub> is the adiabatic gamma along the principal isentrope, as defined by Eq. (2) below. By choosing g<sub>s</sub> we don’t have to assume the form of the function from the outset. Instead, we define the function by a set of points (n≥4), and we’re able to define the amplitudes of these points recursively. In what follows we first write down the equations for determining the values of g<sub>si</sub> for the specific volumes V<sub>i</sub>, and then work out an example with n=4. We show that even for n=4 the reproduction of test data is quite good, and also that the results are not sensitive to the exact choice of the values of V<sub>i</sub>.</p>
ER -