RUI: Spatial and Temporal Variation in Smoldering Combustion

DMS Award AbstractAward #： 0204747 PI： Schult，DanielInstitution： 高露洁大学课程： 应用数学项目经理：Catherine Mavriplis职务：- 我知道阴燃燃烧的时空变化阴燃燃烧模型需要描述多孔流体流动以及反应过程。 由此产生的偏微分方程是高度非线性的，使得描述的解决方案困难。 数值模拟涉及自适应方法，改变分辨率的过程中的演变是必要的，以解决这些问题。 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。 拟议的项目涉及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。 然后，这些技术将被用来描述这些解决方案的动态和过渡的细节。 开发的技术将可能适用于其他领域的燃烧和多孔介质中的流动问题。 这个项目应该是感兴趣的科学家使用渐近方法，使用自适应数值方法的高性能计算，有兴趣在许多时间尺度的解决方案的稳定性问题，或有兴趣在混沌解决方案的发展。 这些结果对于希望了解阴燃在熄灭极限附近的动力学、从阴燃到有火焰的转变以及阴燃波在材料中移动时的指状等模式的消防安全专家和燃烧控制工程师来说应该是特别感兴趣的。阴燃燃烧是指在多孔介质中的火灾，其中向反应部位的氧气供应是有限的，例如当它必须流过多孔物质以到达燃料时。 阴燃通常是空中火焰的前兆，由于产生的烟雾量和难以确保熄灭，因此特别危险。 当控制时，阴燃也有重要的应用材料合成（高温合成）和定时装置（保险丝）的设计。 更好地了解控制阴燃燃烧的过程将提高消防安全，以及允许更好地控制阴燃燃烧的工程应用。 本科院校的研究项目包括一个培训计划和几个本科生的参与，由主要研究者指导。日期：二○ ○二年五月七日

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