通过辐射Hele-Shaw细胞的可变注射速率来控制界面不稳定性:用于后期时间分析的非线性方法
Sajjad Gholinezhad1, Apostolos Kantzas1,2, Steven L Bryant1,3
1Department of Chemical and Petroleum Engineering, University of Calgary, 2500 University Drive NW, Calgary, Alberta, Canada, T2N 1N4.
Physical review. E
|July 19, 2023
概括
本研究从数值上研究了Hele-Shaw细胞中的粘性指纹,发现依赖时间的流速方案有效地抑制了指纹,在线性流动模式下提高了高达15%的回收率.
科学领域:
- 流体动力学 流体动力学
- 非线性动力学是一种非线性动力学.
背景情况:
- 粘性指纹是流体动力学的一个关键现象,特别是在多孔介质中.
- 之前的研究往往侧重于无限粘度比,忽视了现实的有限粘度场景.
研究的目的:
- 在圆形的Hele-Shaw细胞中数量评估不可混合的粘性指纹的非线性行为.
- 调查时间依赖的注入流量方案对有限粘度比率流量的影响.
- 使用二次弱非线性稳定性分析优化流速计划.
主要方法:
- 复杂变量公式使用考希-格林重心坐标进行数值模拟.
- 系统模拟各种移动比率和毛细血管数量,重点关注非线性模式.
- 数字优化,用于流量调度的第二阶弱非线性稳定性分析.
主要成果:
- 时间依赖的方案显著抑制粘性指纹,并在线性流程中增强回收 (高达15%).
- 随着系统非线性度的增加,系统的有效性会下降,因为放松时间超过了运行时间.
- 与线性分析相比,二级分析产生了类似的最佳流速计划.
结论:
- 时间依赖的流速控制是有效的缓解粘性指纹,特别是在不那么不线性系统.
- 曲率驱动的放松时间和操作时间之间的相互作用决定了该方案的有效性.
- 先进的稳定性分析不会显著改变最佳流速计划.
相关概念视频
01:17Steady, Laminar Flow Between Parallel Plates
243
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
243
01:25Multimachine Stability
194
Multimachine stability analysis is crucial for understanding the dynamics and stability of power systems with multiple synchronous machines. The objective is to solve the swing equations for a network of M machines connected to an N-bus power system.
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
In analyzing the system, the nodal equations represent the relationship between bus voltages, machine voltages, and machine currents. The nodal equation is given by:
194
01:23Steady, Laminar Flow in Circular Tubes
256
Hagen-Poiseuille flow describes a viscous fluid's steady, incompressible flow through a cylindrical tube with a constant radius R. This flow profile is often applied to understand fluid transport in narrow channels, such as capillaries. It serves as a foundational example of laminar flow. In this model, cylindrical coordinates (r,θ,z) are used to describe the radial (r), angular (θ), and axial (z) dimensions within the tube. For Hagen-Poiseuille flow, the velocity profile is...
256