Comparison of BKW and JWL Equations of State for Explosion Simulations

Abstract

See, stats, and : https : / / www . researchgate . net / publication / 280078118 Comparison for CONFERENCE DOI : 10 . 13140 / RG . 2 . 1 . 2192 . 7529 READS 101 5 , INCLUDING : Shani Soreq 1 SEE Eytan Ben - Gurion 42 SEE Available : Eytan Retrieved : 11 INTRODUCTION The capability to predict the consequences of explosion through computer simulations is of great practical importance . The physical processes involved in a detonation phenomenon , though , are extremely complex . Therefore , the common practice is to resort to empirical or semi - empirical Equations of State (EOS) describing the detonation properties of explosives . Becker - Kistiakowski - Wilson (BKW) and Jones - Wilkins - Lee (JWL) are among the most widely used EOS . The purpose of this work is to conduct a comparative study between them . A special emphasis was given to the description of the contaminants dispersion caused by the explosion (in addition to the usual interest in describing blast waves) . In particular , we study the implications of these differences within the framework of our current computational methodology using the open source CFD toolbox – OpenFOAM 1 . The paper is organized as follows : we start with a brief review of the above EOSs . Then we proceed to comparative study using 1D shock tube computations and 3D explosion in open air above the ground . This is followed by discussion of the results and conclusions . THE EQUATIONS OF STATE Analytic analysis of JWL , an empirical EOS , and BKW , a semi - empirical EOS , is presented below . Both EOSs are calibrated against the experimental shock Hugoniot 2 , 3 . Therefore , are in wide use to describe the detonation products soon after the chemical reaction took place (high pressure range) . The form oftheBKWEOSisbaseduponarepulsivepotentialapproachappliedtothevirialequationofstate2.Thus,itshouldalsoprovideagooddescriptionofthedetonationproductsintheintermediatepressurerange.AnotherimportantdifferencebetweenthetwoisthatBKWisafullEOS,whileJWLisclassifiedasapartialEOS,whichmeansthatithasnoexplicittemperaturerepresentation.Forthereasonsmentionedabove,onemaythinkthatBKWEOSmaybemoresuitableforcomputationalsimulationofexplosion,especiallybecauseofitsphysicalbasis.ThechoiceoftheappropriateEOS,though,shouldbeaccordingtothespecificproblemunderconsideration.ReviewoftheBecker-Kistiakowsky-Wilson(BKW)EOSBKWisanequationofstateoftheform