相关实验视频
Updated: Jul 10, 2025
08:01
The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
8.6K
滴滴穿过压力驱动的低雷诺兹数流中的裂的过渡时间理论
Spencer W Borbas1, Kevin Shen2, Catherine Ji3
1Richard and Loan Hill Department of Biomedical Engineering, University of Illinois at Chicago, 1200 W Harrison St., Chicago, IL 60607, USA.
Micromachines
|November 25, 2023
概括
我们开发了粘性滴滴通过矩形裂的分析和数值解决方案,这对于理解细胞通道和微流体应用至关重要. 我们的发现揭示了压力,粘度和滴滴大小如何影响传输时间,为生物和工程过程提供了洞察力.
科学领域:
- 流体动力学 流体动力学
- 生物物理学的生物物理.
- 微流体学 微流体学
背景情况:
- 软物体通过收缩的传递对于生物过程 (例如红细胞传递) 和微流体应用至关重要.
- 了解裂口中的滴滴动态对于血液过,疾病进展以及滴滴操纵/分离至关重要.
研究的目的:
- 通过矩形切口来导出粘性滴滴通过矩形切口的分析和数值解决方案.
- 为了研究各种参数对切片中滴滴过渡时间的影响.
主要方法:
- 结合平面Poiseuille流和Young-Laplace方程来导出ODEs.
- 修改了方程,包括滴水和裂墙之间的滑层.
- 采用罗斯科溶液用于流入/流出矩形切口,并对有限的表面张力和滑层数量解决了ODEs.
主要成果:
- 衍生闭式溶液用于当表面张力和滑量可以忽略不计时的过渡时间.
- 确定了压力和逆过渡时间,粘度和过渡时间之间的线性关系.
- 通过较大的滴滴大小相对于口尺寸来证明过渡时间的增加;注意到表面紧张的双重作用.
结论:
- 提供了细胞通过状收缩的定量计算.
- 提供了设计滴滴微流体实验和理解生理过渡现象的见解.
- 突出关键的表面张力和压力值,可以阻碍滴滴的传输.
相关概念视频
01:10Poiseuille's Law and Reynolds Number
6.6K
Any fluid in a horizontal tube can flow due to pressure differences—fluid flows from high to low pressure. The flow rate (Q) is the ratio of pressure difference and resistance through a horizontal tube. The greater the pressure difference, the higher the flow rate. The flow resistance is expressed as:
6.6K
01:23Steady, Laminar Flow in Circular Tubes
220
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...
220
01:27Laminar Flow
1.1K
Laminar flow represents a smooth, orderly fluid motion where particles move along parallel paths, resulting in minimal mixing between layers. Streamlined particle paths characterize this flow regime and occur under conditions where viscous forces dominate over inertial forces. The distinction between laminar, transitional, and turbulent flow is primarily determined by the Reynolds number, a dimensionless quantity calculated as:
1.1K
01:17Steady, Laminar Flow Between Parallel Plates
200
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.
200
01:22Couette Flow
284
Couette flow represents the flow of fluid between two parallel plates, with one plate fixed and the other moving with a constant velocity. This configuration allows for a simplified analysis using the Navier-Stokes equations, which govern fluid motion under conditions of viscosity and incompressibility. For Couette flow, the assumptions include a steady, laminar, incompressible flow with a zero-pressure gradient in the flow direction. This flow type is beneficial for understanding shear-driven...
284
01:24Reynolds Transport Theorem
1.2K
The Reynolds transport theorem provides a framework to relate the time rate of change of an extensive property within a system to that in a control volume, which is crucial for analyzing fluid dynamics. Extensive properties, such as mass, velocity, acceleration, temperature, and momentum, can be expressed in terms of the mass of a fluid portion. These properties are called extensive because they depend on the system's size, while intensive properties are their corresponding values per unit...
1.2K