Mathematical Sciences: Rensselaer-BBN Graduate Research Assistanship

数学科学：伦斯勒-BBN 研究生研究援助

• 批准号: 9508662
• 负责人: Donald Drew
• 金额: $ 2.32万
• 依托单位: Rensselaer Polytechnic Institute
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-07-01 至 1996-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9508662&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Rensselaer; BBN; Graduate

9508662 Drew The University-Industry Cooperative Research Programs in the Mathematical Sciences are programs designed to establish a mechanism for exchange of mathematical scientists between academia and industry at different stages of their careers. These programs will strengthen the links between industry and academia and identify and encourage new avenues of research in the mathematical sciences. The University-Based Graduate Research Assistantships provide the opportunity for graduate students to spend part of their time in the classroom and part of their time in an industrial setting. These awards are a means of contributing to the future vitality of the scientific effort of the nation. This research will model the flow of a fluid containing a large number of small paramagnetic particles. When this fluid is subjected to a magnetic field, the particles tend to align (polymerize), and the flow properties of the fluid change dramatically. The aligned states will be modeled using a probability density function for the length of chains of particles. A Monte Carlo model for the distribution function will be derived, and appropriate attachment and breaking models tested. This model will be coupled to the fluid flow. The result of this work will be a prediction tool that incorporates the microscopic physics of the processes involved in the lengths of the chains, and that can be compared to flow data.

小行星9508662 数学领域的产学研合作研究 科学是旨在建立数学交流机制的计划。 学术界和工业界之间的科学家在他们职业生涯的不同阶段。这些 计划将加强工业界和学术界之间的联系，并确定和 鼓励数学科学研究的新途径。基于大学 研究生研究助理奖学金为研究生提供了机会， 一部分时间在课堂上，一部分时间在工业环境中。这些 奖励是一种手段，有助于未来的科学努力的活力， 民族 这项研究将模拟含有大量小分子的流体的流动。 顺磁性粒子当这种流体受到磁场的作用时， 对齐（对齐），流体的流动特性发生显著变化。对准的 状态将使用概率密度函数为链的长度建模， 粒子将导出分布函数的蒙特卡罗模型， 测试适当的连接和断裂模型。该模型将与 流体流动这项工作的结果将是一个预测工具， 微观物理的过程中所涉及的长度的链，这可以是 与流量数据相比。