Research Initiation Award: Stochastic and Deterministic Solutions to Unsteady Nanofluid Mixed Convection Problems

研究启动奖：非稳态纳米流体混合对流问题的随机和确定性解决方案

• 批准号: 1901316
• 负责人: Zephyrinus Okonkwo
• 金额: $ 30万
• 依托单位: Albany State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2019
• 资助国家: 美国
• 起止时间: 2019-05-01 至 2025-04-30
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1901316&HistoricalAwards=false
• 关键词: Research; Initiation; Award; Stochastic; Deterministic

Research Initiation Awards provide support for junior and mid-career faculty at Historically Black Colleges and Universities who are building new research programs or redirecting and rebuilding existing research programs. It is expected that the award helps to further the faculty member's research capability and effectiveness, improves research and teaching at the home institution, and involves undergraduate students in research experiences. The award to Albany State University has potential broader impacts in a number of areas. The goal of this project is to develop mathematical modeling and analysis of nanofluid in axisymmetric and three-dimensional flows, and to enhance teaching and learning at the university by involving undergraduate students in mathematical modeling. The project will develop mathematical modeling and analysis of nonlinear coupled partial differential equations in axisymmetric and three-dimensional flows that arise in nanofluid flow in unsteady mixed convection. The specific goals of this project are to: (i) obtain deterministic solutions to the unsteady mixed convection nanofluid flow in axisymmetric bodies; (ii) develop stochastic solutions to unsteady mixed convection nanofluid flow over axisymmetric and three-dimensional bodies; and (iii) investigate the stability properties of the mixed convection flow over moving axisymmetric bodies. The success of this project will provide fundamental understanding of unsteady convective heat transfer phenomena in complex nanofluids. The results of such studies could be used to optimize fluid properties and for existing critical applications such as coolant for automobiles, air conditioning, and supercomputers, as well as emerging and novel applications. This project will be conducted in collaboration with the Mathematical Biosciences Institute at Ohio State University.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

研究启动奖为历史悠久的黑人学院和大学的初级和中级教师提供了支持，他们正在构建新的研究计划，或重新指导和重建现有的研究计划。预计该奖项有助于进一步促进教职员工的研究能力和有效性，改善家庭机构的研究和教学，并让本科生参与研究经验。授予奥尔巴尼州立大学的奖项在许多领域都具有更广泛的影响。该项目的目的是开发轴对称和三维流中纳米流体的数学建模和分析，并通过使本科生参与数学建模来增强大学的教学和学习。该项目将在纳米流动流中出现的轴对称和三维流中的非线性耦合部分微分方程进行数学建模和分析，以不稳定的混合对流。该项目的具体目标是：（i）获得轴对称体中不稳定混合对流纳米流体流的确定性解决方案； （ii）开发出随机混合对流的纳米流体流动的随机溶液在轴对称和三维体上； （iii）研究混合对流流动在移动的轴对称体上的稳定性。该项目的成功将提供对复杂纳米流体中不稳定对流传热现象的基本理解。此类研究的结果可用于优化流体特性和现有关键应用，例如汽车，空调和超级计算机的冷却液以及新兴和新颖的应用。该项目将与俄亥俄州立大学的数学生物科学研究所合作进行。该奖项反映了NSF的法定任务，并被认为是值得通过基金会的知识分子优点和更广泛影响的评估标准通过评估来支持的。