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

该奖项是为了支持康奈尔大学理论与应用力学系的Richard Rand博士和摩洛哥卡萨布兰卡Ain Chock哈桑二世大学理学院力学实验室物理系的Mohamed Belhaq博士的合作项目。这两位科学家计划在某些物理系统中研究准周期振荡、混沌和混沌控制。这两个科学家小组在这些主题上独立地提出了新的想法，为拟议的研究提供了基础。本研究项目涉及传统流体和磁流体中参数对流不稳定性的理论、数值和实验研究。将集中注意流体层同时受到物体力和温度梯度的周期性变化的强迫的情况。将对系统的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。所得结果将与实验结果进行比较。范围：该奖项将允许两位进行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现有资源进行分配。1997年夏天，贝尔哈克博士在富布赖特基金的资助下，与康奈尔大学的兰德博士一起工作，因此预计两人将成功合作。该提案符合INT在互利领域增加美国与外国合作的目标。

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.