RUI: Spatial and Temporal Variation in Smoldering Combustion

DMS奖摘要奖号：0204747PI: Schult， DanielInstitution: Colgate university专业：应用数学项目经理：Catherine MavriplisTitle: RUI：阴燃的时空变化阴燃的模型需要多孔流体流动的描述以及反应过程的描述。所得到的偏微分方程是高度非线性的，使得解的描述变得困难。数值模拟涉及的自适应方法，随着过程的发展而改变分辨率，是解决这些解决方案所必需的。渐近方法也成功地描述了这些模型的稳定和缓慢变化的近似解。提出的项目包括扩展渐近和数值方法，以研究非稳态和空间变化的阴燃燃烧。这些技术将被用来描述这些解决方案的动态和转换的细节。所开发的技术可能适用于其他燃烧领域和多孔介质中的流动问题。这个项目应该对使用渐近方法的科学家，使用自适应数值方法进行高性能计算的科学家，对多时间尺度解的稳定性问题感兴趣的科学家，或对混沌解的发展感兴趣的科学家感兴趣。结果应该是特别感兴趣的消防安全专家和燃烧控制工程师谁希望了解阴燃接近熄灭极限的动力学，从阴燃到燃烧的过渡和模式，如手指阴燃波，因为他们通过材料移动。阴燃是指在多孔介质中的燃烧，在多孔介质中，氧气向反应部位的供应是有限的，例如氧气必须流经多孔物质才能到达燃料。阴燃通常是空中火焰的前兆，由于产生的烟雾量和确保熄灭的困难，它特别危险。当受到控制时，阴燃在材料合成（高温合成）和定时装置（熔断器）的设计中也有重要的应用。更好地了解控制阴燃的过程将提高消防安全，并允许更好地控制阴燃的工程用途。本科院校研究项目包括一个培训项目，由首席研究员指导的几名本科生参与。日期：2002年5月7日

DMS Award AbstractAward #: 0204747PI: Schult, DanielInstitution: Colgate UniversityProgram: Applied MathematicsProgram Manager: Catherine MavriplisTitle: RUI: Spatial and Temporal Variation in Smoldering CombustionModels of smoldering combustion require a description of porous fluid flow as well as a description of the reaction process. The resulting partial differential equations are highly nonlinear, making description of the solutions difficult. Numerical simulations involving adaptive methods which change resolution as the process evolves are necessary to resolve these solutions. Asymptotic methods have also been successful in describing steady and slowly varying approximate solutions to these models. The proposed project involves extending both asymptotic and numerical methods in order to study non-steady and spatially varying smolder combustion. These techniques will then be used to describe the details of the dynamics and transitions of these solutions. The techniques developed will likely be applicable in other areas of combustion and problems of flow in porous media. This project should be of interest to scientists using asymptotic methods, using adaptive numerical methods for high-performance computing, interested in issues of stability of solutions with many time scales, or interested in the development of chaotic solutions. The results should be of particular interest to fire safety experts and combustion control engineers who wish to understand dynamics of smoldering near extinction limits, transitions from smoldering to flaming and patterns such as fingering of smolder waves as they move through materials.Smoldering combustion refers to fire in a porous medium in which the oxygen supply to the reaction site is limited, for example when it must flow through the porous substance to reach the fuel. Smolder is often a precursor to airborne flames and is particularly dangerous because of the amount of smoke produced and the difficulty of ensuring extinction. When controlled, smolder also has important applications to material synthesis (high temperature synthesis) and to the design of timing devices (fuses). A better understanding of the processes controlling smolder combustion will enhance fire safety as well as allow better control for engineering uses of smoldering combustion. This Research in Undergraduate Institutions project includes a training program and participation of several undergraduate students, mentored by the principal investigator. Date: May 7, 2002