Mathematical Sciences: Mathematical Problems in Materials Science and Multiphase Flow

数学科学：材料科学和多相流中的数学问题

• 批准号: 8701895
• 负责人: George Papanicolaou
• 金额: $ 87.75万
• 依托单位: New York University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1987
• 资助国家: 美国
• 起止时间: 1987-07-15 至 1990-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8701895&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Problems; Materials; Science

This research program consists of a number of research projects generally connected to the central theme of multi- phase flow and material science. Specific projects conducted by the six faculty members involved include sedimentation of solid spheres in a viscous fluid, hydrodynamics dispersion and inertial effects in sedimentation, phase transition in solids, self-diffusion and bulk diffusion of Brownian particles, computational method for flows with suspended particles, etc. The research results are expected to find applications in air and water pollution problems, blood flow problems and oil extraction and purification problems.

本研究计划由若干研究项目组成，这些研究项目一般与多相流和材料科学的中心主题有关。六名教师参与的具体项目包括固体球在粘性流体中的沉降、流体力学弥散和沉降中的惯性效应、固体中的相变、布朗粒子的自扩散和体扩散、悬浮粒子流动的计算方法等。该研究成果有望在空气和水污染问题、血液流动问题以及石油提取和净化问题上得到应用。