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

研究启动奖为历史悠久的黑人学院和大学的初级和职业生涯中期教师提供支持，这些教师正在建立新的研究计划或重新定向和重建现有的研究计划。预计该奖项有助于进一步提高教师的研究能力和有效性，改善所在机构的研究和教学，并让本科生参与研究经验。授予奥尔巴尼州立大学的奖项可能在许多领域产生更广泛的影响。该项目的目标是发展轴对称和三维流动中纳米流体的数学建模和分析，并通过让本科生参与数学建模来加强大学的教与学。该项目将开发轴对称和三维流动中的非线性耦合偏微分方程组的数学建模和分析，这些方程出现在非定常混合对流中的纳米流体流动中。该项目的具体目标是：(I)获得轴对称物体中非定常混合对流纳米流体流动的确定性解；(Ii)发展轴对称和三维物体上非定常混合对流纳米流体流动的随机解；以及(Iii)研究运动的轴对称物体上的混合对流流动的稳定性。该项目的成功将提供对复杂纳米流体中非稳定对流换热现象的基本理解。这类研究的结果可用于优化流体性质和现有的关键应用，如汽车、空调和超级计算机的冷却剂，以及新兴和新颖的应用。该项目将与俄亥俄州立大学数学生物科学研究所合作进行。该奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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.