US-Morocco Cooperative Research: Theoretical and Experimental Study of Quasiperiodically Forced Convective Instabilities in Fluids

9906084RandDescription：该奖项是为了表彰由康奈尔大学理论和应用力学系Richard Rand博士和摩洛哥卡萨布兰卡Ain Chock大学理学院力学实验室物理系Mohamed Belhaq博士共同发起的一个合作项目。这两位科学家计划研究准周期振荡、混沌以及某些物理系统中的混沌控制。这两个科学家小组在这些主题上独立开发了新的想法，为拟议的研究提供了基础。本研究对传统流体和磁性流体中的参数对流不稳定性进行了理论、数值和实验研究。我们将把注意力集中在流体层同时受到体力和温度梯度周期性变化的情况下。将对准周期行为进行研究，并对系统的基本状态进行稳定性分析。结果将与实验工作进行比较。范围：该奖项将允许两名完成独立研究的合格科学家之间的合作。这项工作将根据双方的特殊技能和可用的资源进行分配。1997年夏天，在富布赖特大学的资助下，贝尔哈克博士与兰德博士在康奈尔大学共事，因此预计两人将会成功合作。这一提议符合在互惠领域加强美国与外国合作的国际目标。

9906084RandDescription: This award is for support of a cooperative project by Dr. Richard Rand, Department of Theoretical and Applied Mechanics at Cornell University and Dr. Mohamed Belhaq, Department of Physics, Laboratory of Mechanics, Faculty of Science, University Hassan II, Ain Chock, Casablanca, Morocco. The two scientists plan to investigate quasi-periodic oscillations, chaos and the control of chaos in certain physical systems. The two scientists' groups have independently developed new ideas on these topics that provide the basis for the proposed research. The research project concerns a theoretical, numerical and experimental study of parametric convective instability in traditional and magnetic fluids. Attention will be focused on the case of a fluid layer simultaneously forced by periodic variations in body forces and in temperature gradient. Investigations will be made of the quasi-periodic behavior, and a stability analysis of the basic state of the system will also be carried out. The results will be compared with experimental work.Scope: This award will allow collaboration between two qualified scientists who have done independent research. The work is to be divided between the two sides based on the special skills and the available resources. Dr. Belhaq has spent the summer of 1997, under a Fulbright grant, working with Dr. Rand at Cornell University, so it is expected that the two will collaborate with each other successfully. This proposal meets the INT objective of increasing US-foreign collaboration in areas of mutual benefit.