Study of Unsolved Bifurcation Problems in Natural Convectionin Packed Beds and Binary Fluids

这个项目的目标是研究在浮力驱动的流动中导致湍流的状态。耗散(粘性或传导性)和热力学变量(温度或浓度)梯度引起的力之间的竞争使系统远离平衡，并产生空间和时间模式(分叉)。注意力集中在两类双组分系统：流体饱和的填充床和非反应的二元流体。驱动耗散双组分流体系统在自然界或在物理和化学科学的现代技术应用中最常见，与能源生产和运输有关。这项研究取决于对流的二维模型的假设。这样的模型不仅简单，而且很现实。该项目包括两个任务：(1)通过执行稳定性分析(在并行计算机上解决间隙循环问题)研究粗填充床层中流体对流的基本原理(问题)(在充满二元流体混合物的薄环空中数值研究自然对流的开始和模式形成的问题(问题

The objective of this project is the study of states that lead to turbulence in buoyancy-driven flows. The competition between dissipation (viscosity or conduction) and forces caused by gradients of thermodynamic variables (temperature or concentration) drives the system away from equilibrium and creates spatial and temporal patterns (bifurcations). Attention is focused on two classes of two-component systems: fluid-saturated packed beds and non-reacting binary fluids. Driven dissipative two-component fluid systems are most frequently encountered in nature or in modern technological applications of the physical and chemical sciences and are associated with energy production and transport. The investigation hinges on the assumption of two-dimensional models of convection. Such models are not only simple, they are realistic as well. The project consists of two tasks: (1) studying the fundamentals of fluid convection in coarse packed beds by performing stability analysis (Problem interstitial circulation on a parallel computer (Problem numerically investigating onset and pattern formation during natural convection in thin annuli filled with mixtures of binary fluids (Problem