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

该提案要求提供资金，允许克拉克森大学机械工程系Daniel T.瓦伦丁博士与韩国先进科学技术研究所(KAIST)机械工程系Jae Min Hyun博士进行为期24个月的研究，旋转对密度分层流影响的合作研究计划：圆柱几何中的基本流动问题。合作者将研究圆柱形储罐内液体的随时间变化的运动，这些运动是由这些容器壁上施加的温度梯度和转速变化引起的。这项研究的主要目的是加深对密度分层流体旋转流动动力学的了解。将解决以下三个计算问题，即预测(1)“浴缸”或排水涡对从圆柱形储罐中排出密度分层流体的影响。(2)有助于分层流体在旋转的圆柱形容器中初始静止时自旋的三维涡旋相互作用，以及(3)与圆柱形容器中的分层流体通过中心位置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动。这位韩国合作者将进行一系列实验，其中包括提出的三个问题的配置。他还将把他的计算方法应用于美国计算的一些案例，以更有力地证明预测的有效性。要解决的问题在热能储存罐、流动储罐和混合装置中具有重要的技术意义，这些装置设计用于混合不同密度的可混溶流体。合作者在这一研究领域拥有丰富的经验。该项目所解决的问题的解决方案将有利于美国和韩国。该项目与美韩合作科学计划的目标相关，该计划旨在通过交流科学信息、想法、技能和技术以及通过在互利问题上的合作来提高美国和韩国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与工程基金会(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).