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相关概念视频

Fluid Pressure over Curved Plate of Constant Width01:12

Fluid Pressure over Curved Plate of Constant Width

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When a curved plate of constant width is submerged in a liquid, the pressure acting normal to the plate varies continuously both in magnitude and direction. Calculating the magnitude and location of the resultant force at a point is often challenging for such cases. One of the methods to determine the resultant force and its location involves separately calculating the horizontal and vertical components of the resultant force. This complex calculation can be simplified by representing the...
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Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model01:09

Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model

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Various dissolution theories provide insight into the factors that influence the dissolution rate. Danckwerts' Model suggests that turbulence, rather than a stagnant layer, characterizes the dissolution medium at the solid-liquid interface. In this model, the agitated solvent contains macroscopic packets that move to the interface via eddy currents, facilitating the absorption and delivery of the drug to the bulk solution. The regular replenishment of solvent packets maintains the...
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Newtonian Fluid: Problem Solving01:18

Newtonian Fluid: Problem Solving

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Newtonian fluids exhibit a constant viscosity, meaning their shear stress and shear strain rate are directly proportional. This property ensures a predictable and stable response to applied forces, maintaining a linear relationship between force and flow. Examples include water, air, and light oils, consistently demonstrating this proportional behavior regardless of external conditions.
A velocity gradient forms within the fluid when a Newtonian fluid is placed between two parallel plates, with...
135
Surface Tension of Fluid01:22

Surface Tension of Fluid

160
Surface tension is a fundamental property of fluids, occurring at the boundary between a liquid and a gas or between two immiscible liquids. This phenomenon arises from the cohesive forces between molecules at the fluid's surface, creating an effect similar to a stretched elastic membrane. Inside each fluid, molecules are equally attracted in all directions by neighboring molecules, but surface molecules experience a net inward force, resulting in surface tension.
Surface tension varies...
160
Conservation of Mass in Finite Cotrol Volume01:16

Conservation of Mass in Finite Cotrol Volume

810
The principle of conservation of mass is a fundamental law in fluid mechanics and is applied using the continuity equation. We apply the concept to a finite control volume to derive the continuity equation.
A system is defined as a collection of unchanging contents, and the conservation of mass states that a system's mass is constant.
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Steady, Laminar Flow Between Parallel Plates01:17

Steady, Laminar Flow Between Parallel Plates

76
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.
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相关实验视频

Updated: May 5, 2026

The Diffusion of Passive Tracers in Laminar Shear Flow
08:01

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

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在具有不同密度的演变表面上进行两相流动的扩散接口模型:全球定位良好.

Helmut Abels1, Harald Garcke1, Andrea Poiatti2

  • 1Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany.

Calculus of variations and partial differential equations
|May 7, 2025
PubMed
概括
此摘要是机器生成的。

这项研究证明了在不断变化的表面上为二相流体流动模型的解决方案的全球存在和独特性. 它还证实了随着时间的推移流体相的分离.

关键词:
35D3535 35D3535 35D3535 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D35 35D3535Q3030 这是什么意思?35Q3535 35Q3535 35Q3535 35Q35 35Q35 35Q35 35Q35 35Q35 35Q35 35Q35 35Q35 35Q35 35Q35 35Q35 35Q35 35Q3576D0505 这是一个很好的例子.76T06 是一个很好的例子.

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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
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Evolution of Staircase Structures in Diffusive Convection
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The Diffusion of Passive Tracers in Laminar Shear Flow

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Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
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Evolution of Staircase Structures in Diffusive Convection
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Evolution of Staircase Structures in Diffusive Convection

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科学领域:

  • 流体动力学 流体动力学
  • 部分微分方程部分微分方程.
  • 几何分析的几何分析

背景情况:

  • 纳维尔-斯托克斯/卡恩-希利亚德系统模拟了具有接口的双相流体流.
  • 在不断变化的表面上分析这样的系统带来了重大的数学挑战.
  • 了解动态表面上的流体行为对于各种应用至关重要.

研究的目的:

  • 建立强大的解决方案的全球时间存在和独特性.
  • 在2D演变表面上分析二相流的扩散接口模型.
  • 研究具有不同密度和单一潜力的流体的行为.

主要方法:

  • 利用先前的结果对当地的良好位置.
  • 为对流式Cahn-Hilliard方程开发新的规律性结果.
  • 导出更高层次的能源估计,以在全球范围内扩展本地解决方案.

主要成果:

  • 全球时间存在和强大的解决方案的独特性是被证明的.
  • 建立了纯相的即时严格分离属性.
  • 分析涵盖了不同密度和对数潜力的系统.

结论:

  • 数学框架支持动态表面上的复杂流体系统的长期行为.
  • 这些发现为流体动力学中扩散接口模型提供了严格的基础.
  • 这项工作推进了对在演变的多元体上部分微分方程的理解.