Detonation Shock Dynamics and Multi-Step Kinetics

DMS Award AbstractAward #： 0204023 PI： Short，MarkInstitution： 伊利诺伊大学厄巴纳-香槟分校 应用数学项目经理：Catherine Mavriplis职务：爆轰冲击动力学和多步动力学在我们对爆轰动力学的基本理解的追求中有三个突出的问题，所有这些问题在利用爆轰的工程工具中都是重要的，例如上面的那些。这些问题涉及的传播和稳定性的曲线爆炸与现实的反应动力学;的问题，如何爆燃（火焰）经历了过渡到爆震（DDT）和机制，导致爆震点燃或失败（临界）。这个项目的主要目标之一是获得稳定和非稳定的弯曲爆震波，是由几种形式的现实，但基本的，反应动力学的内在表面传播规律。此外，工程应用中最重要的问题之一是成功起爆和防止过早失效。将对这些事件进行数学研究，包括研究一种新的爆炸传播模式，即边缘爆炸，这种模式必须在故障问题中加以考虑。将使用小尺度数学模型，应用合理的渐近扰动方法，例如推导出给定系统中爆轰波运动的内在表面传播定律，该项目的目的是进一步了解爆炸系统中爆轰的基本数学物理，其规模从微共振应用到恒星（超新星）的坍缩不等。爆炸理论的传统应用主要集中在安全、国防和采矿等重要问题上。近年来，人们对现代高科技工程应用产生了浓厚的兴趣，从金属的硬化，成形和焊接，到精密切割设备和薄膜制造。

DMS Award AbstractAward #: 0204023PI: Short, MarkInstitution: University of Illinois, Urbana-ChampaignProgram: Applied MathematicsProgram Manager: Catherine MavriplisTitle: Detonation Shock Dynamics and Multi-step KineticsThere are three outstanding problems in our pursuit of a fundamental understanding of detonation dynamics, all of which are important in an engineering tool, such as those above, that utilizes detonations. These concern the propagation and stability of curved detonations with realistic reaction kinetics; the problem of how a deflagration (flame) undergoes a transition to detonation (DDT) and the mechanisms which cause a detonation to ignite or fail (criticality). One of primary goals of this project is to obtain intrinsic surface propagation laws for both steady and unsteady curved detonation waves that are governing by several forms of realistic, but fundamental, reaction kinetics. Also, one of the most important concerns in engineering applications has to do both with the successful initiation of detonation and preventing premature failure. Mathematical investigations of these events will be conducted, including research on a new mode of detonation propagation that must be accounted for in failure problems, namely the edge-detonation. Subscale mathematical modeling will be used, applying rational asymptotic perturbation methods to derive, for example, intrinsic surface propagation laws for the motion of the detonation wave in a given system.The aim of this project is to further our understanding of the basic mathematical physics of detonations in explosive systems ranging in size from micro-detonic applications to the collapse of stars (supernova). Traditional applications of detonation theory have focused on important issues such as safety, to defense and mining related uses. In recent years, there has been substantial interest in modern high-tech engineering applications ranging from hardening, forming and welding of metals, to precision cutting devices and thin-film manufacturing.