{"title":"On the Jones‐Wilkins‐Lee equation of state for high explosive products","authors":"Gabriel Farag, Ashwin Chinnayya","doi":"10.1002/prep.202300223","DOIUrl":null,"url":null,"abstract":"The Jones‐Wilkins‐Lee (JWL) model is a widely used Equation Of State (EOS) in the literature to model high explosive products. It is based on exponentially decaying isentropes in the pressure‐volume diagram, completed by an additional term meant to recover an ideal‐gas behavior for large expansions where exponential terms are negligible. A step‐by‐step analysis of the EOS is proposed. Starting from the main isentrope, the constant Grüneisen, and constant isochoric heat capacity, the JWL expressions of pressure, temperature, sound speed, specific internal energy, specific entropy and specific enthalpy are derived. For a specific set of JWL parameters meant to model HMX products, various thermodynamic fields are investigated in pressure–volume and temperature–volume planes. The positivity of pressure and temperature, the convexity, the thermodynamic stability, and the monotonicity along an Hugoniot are investigated in order to characterize the JWL domain of validity. For each of these constraints, different regions of validity are found. Besides presenting a study of the JWL model and its limits, this work also provides a standalone presentation and derivation containing the necessary materials for the understanding and for the use of the JWL EOS in reactive hydrodynamic simulations of condensed phase explosives.","PeriodicalId":20800,"journal":{"name":"Propellants, Explosives, Pyrotechnics","volume":"67 1","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2024-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Propellants, Explosives, Pyrotechnics","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1002/prep.202300223","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
The Jones‐Wilkins‐Lee (JWL) model is a widely used Equation Of State (EOS) in the literature to model high explosive products. It is based on exponentially decaying isentropes in the pressure‐volume diagram, completed by an additional term meant to recover an ideal‐gas behavior for large expansions where exponential terms are negligible. A step‐by‐step analysis of the EOS is proposed. Starting from the main isentrope, the constant Grüneisen, and constant isochoric heat capacity, the JWL expressions of pressure, temperature, sound speed, specific internal energy, specific entropy and specific enthalpy are derived. For a specific set of JWL parameters meant to model HMX products, various thermodynamic fields are investigated in pressure–volume and temperature–volume planes. The positivity of pressure and temperature, the convexity, the thermodynamic stability, and the monotonicity along an Hugoniot are investigated in order to characterize the JWL domain of validity. For each of these constraints, different regions of validity are found. Besides presenting a study of the JWL model and its limits, this work also provides a standalone presentation and derivation containing the necessary materials for the understanding and for the use of the JWL EOS in reactive hydrodynamic simulations of condensed phase explosives.
期刊介绍：
Propellants, Explosives, Pyrotechnics (PEP) is an international, peer-reviewed journal containing Full Papers, Short Communications, critical Reviews, as well as details of forthcoming meetings and book reviews concerned with the research, development and production in relation to propellants, explosives, and pyrotechnics for all applications. Being the official journal of the International Pyrotechnics Society, PEP is a vital medium and the state-of-the-art forum for the exchange of science and technology in energetic materials. PEP is published 12 times a year.
PEP is devoted to advancing the science, technology and engineering elements in the storage and manipulation of chemical energy, specifically in propellants, explosives and pyrotechnics. Articles should provide scientific context, articulate impact, and be generally applicable to the energetic materials and wider scientific community. PEP is not a defense journal and does not feature the weaponization of materials and related systems or include information that would aid in the development or utilization of improvised explosive systems, e.g., synthesis routes to terrorist explosives.
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