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

该项目的目标是研究导致 浮力驱动的湍流。 之间的竞争 耗散（粘性或传导）和梯度引起的力 热力学变量（温度或浓度）驱动着 系统偏离平衡，造成空间和时间模式 （分叉）。 注意力集中在两类双组分 系统：流体饱和填充床和非反应二元流体。 受驱耗散双组分流体系统最常见的是 在自然界或现代技术应用中遇到的 物理和化学科学，并与能源有关 生产和运输。 调查的基础是假设 二维对流模型。 这种模式不仅 简单，也很现实。 该项目包括两个任务：（1）研究 通过执行稳定性在粗填充床中的流体对流 分析（问题） 并行计算机上的间隙循环（问题 数值研究自然过程中的发作和图案形成 二元流体混合物填充薄环空中的对流 （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