U.S.-Korea Cooperative Research on Effects of Rotation on Density Stratified Flows: Basic Flow Problems in CylindricalGeometries

该提案要求资助克拉克森大学机械工程系丹尼尔·瓦伦丁博士与韩国科学技术院（KAIST）机械工程系宰敏铉博士一起进行为期24个月的研究。旋转对密度分层流动影响的合作研究项目：圆柱几何中的基本流动问题。合作者将研究被限制在圆柱形容器内的液体的随时间运动，这些运动是由这些容器壁上施加的热梯度和旋转速度变化引起的。本研究的主要目的是进一步了解密度分层流体的旋转流动动力学。本文将解决以下三个计算问题，即预测(1)“浴缸”或排水涡流对从圆柱形容器中排出密度分层流体的影响，(2)在初始静止的旋转圆柱形容器中帮助分层流体自旋向上的三维涡流相互作用。(3)与圆柱形容器中分层流体通过位于中心的旋转圆盘混合有关的现象。PI将扩展他的四阶计算算法来处理具有旋转和分层的流。韩国合作者将进行一系列实验，其中包括所提出的三个问题的配置。他还将把他的计算方法应用于在美国计算的一些病例，以更有力地证明预测的有效性。所要解决的问题在蓄热罐、通流式储热器和用于混合不同密度的混相流体的混合装置中具有重要的技术意义。合作者在这项研究领域有相当丰富的经验。这个项目所解决的问题将对美国和韩国有利。该项目与美韩合作科学项目的目标相关，该项目旨在通过科学信息、思想、技能和技术的交流以及在互利问题上的合作，提高美韩科学家和工程师之间的合作水平。韩国的参与得到了韩国科学工程财团（KOSEF）的支持。

This proposal requests funds to permit Dr. Daniel T. Valentine, Department of Mechanical Engineering, Clarkson University, to pursue with Dr. Jae Min Hyun, Department of Mechanical Engineering, Korea Advanced Institute of Science and Technology (KAIST) for a period of 24 months, a program of cooperative research on the effects of rotation on density stratified flows: basic flow problems in cylindrical geometries. The collaborators will investigate the time-dependent motions of liquids confined within cylindrical tanks that are induced by imposed thermal gradients and rotational speed changes at the walls of these containers. The principal goal of this research is to further the understanding of the dynamics of rotating flows of density stratified fluids. The following three computational problems will be addressed, namely, predicting (1) the effect of the "bathtub" or drain vortex on the draining of density stratified fluid from a cylindrical tank, (2) the three-dimensional vortex interactions that aid in the spin-up of a stratified fluid in a rotating cylindrical container initially at rest, and (3) the phenomena associated with the mixing of a stratified fluid in a cylindrical container by a centrally located rotating disk. The PI will extend his 4th-order computational algorithm to handle flows with rotation and stratification. The Korean collaborator will conduct a series of experiments that will include the configurations of the three problems posed. He also will apply his computational method to some of the cases computed in the U.S. to establish more strongly the validity of the predictions. The problems to be addressed are of technological importance in thermal energy storage tanks, flow-through reservoirs, and mixing devices designed to mix miscible fluids of different densities. The collaborators have considerable experience in the field of this research. The solution to the problems addressed by this project would be beneficial to the United States and Korea. This project is relevant to the objectives of the U.S.-Korea Cooperative Science Program which seeks to increase the level of cooperation between U.S. and Korean scientists and engineers through the exchange of scientific information, ideas, skills, and techniques and through collaboration on problems of mutual benefit. Korean participation is supported by the Korea Science and Engineering Foundation (KOSEF).