Mathematical Sciences: Dynamics of Detonations and Combustion Fronts

数学科学：爆炸和燃烧前沿的动力学

• 批准号: 9311659
• 负责人: Victor Roytburd
• 金额: $ 6.6万
• 依托单位: Rensselaer Polytechnic Institute
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-07-15 至 1996-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9311659&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Dynamics; Detonations; Combustion

9311659 Roytburd The PI will continue research in applied analysis and scientific computing related to nonlinear wave propagation. The work will include: i) The nonlinear evolution of low-frequency instabilities of detonation waves and an asymptotic theory for the phenomenon of detonation waves propagating along a cylindrical tube; ii) The study of a class of free boundary (free interface) problems which arise naturally as simplified conceptual models of gasless combustion and fast solidification. These free boundary problems demonstrate a variety of dynamical patterns that are essentially low-dimensional. The qualitative behavior of these model problems and their connections with the front motion description will be investigated both analytically and numerically. %%% The proposed theoretical investigation will contribute to a better understanding of a number of engineering problems that include: the design and safe use of highly energetic propellants; safe handling of explosives; the process of synthesizing of certain ceramic and metallic alloys via solid combustion; explosive solidification of thin films and others. On the other hand, the mathematical models that the PI proposes to investigate appear to be generic and are encountered as simple building blocks also in other contexts. Their investigation will lead to progress in dynamical systems theory. ***

小行星9311659 PI将继续研究与非线性波传播相关的应用分析和科学计算。 这项工作将包括：（1）爆轰波低频不稳定性的非线性演化和爆轰波沿沿着圆柱管传播现象的渐近理论;（2）研究一类简化的自然产生的自由边界（自由界面）问题 无气燃烧和快速凝固的概念模型。 这些自由边界问题表现出各种动力学模式，基本上是低维的。 这些模型问题的定性行为和它们与前运动描述的连接将被研究分析和数值。 %%% 拟议的理论研究将有助于更好地理解一些工程问题，其中包括：高能推进剂的设计和安全使用;爆炸物的安全处理;通过固体燃烧合成某些陶瓷和金属合金的过程;薄膜的爆炸固化等。 另一方面，PI建议调查的数学模型似乎是通用的，在其他情况下也会遇到简单的构建块。 他们的研究将导致动力系统理论的进步。 ***