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相关概念视频

Multiple Pipe Systems01:21

Multiple Pipe Systems

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Multipipe systems consist of complex configurations of interconnected pipes designed to transport fluids efficiently across intricate networks. They are essential in engineering applications requiring precise control over flow distribution, pressure, and head loss. They are categorized into series, parallel, loop, and network configurations, each distinguished by unique flow characteristics and applications.
Series Configuration
In a series configuration, fluid flows sequentially from one pipe...
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Plane Potential Flows01:23

Plane Potential Flows

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Plane potential flows simplify fluid motion by assuming the fluid to be irrotational and incompressible. These characteristics allow these flows to be described by a velocity potential function, ϕ, representing the flow speed in a given direction, and a stream function, ψ, that visualizes the flow path, both governed by Laplace's equation. These parameters help in estimating flow patterns, velocity distributions, and pressure fields around various hydraulic structures.
Uniform...
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Short-distance Transport of Resources02:12

Short-distance Transport of Resources

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Short-distance transport refers to transport that occurs over a distance of just 2-3 cells, crossing the plasma membrane in the process. Small uncharged molecules, such as oxygen, carbon dioxide, and water, can diffuse across the plasma membrane on their own. In contrast, ions and larger molecules require the assistance of transport proteins due to their charge or size. Transport across membranes also occurs within individual cells, playing a variety of essential roles for the plant as a whole.
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Water and Mineral Acquisition02:34

Water and Mineral Acquisition

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Specialized tissues in plant roots have evolved to capture water, minerals, and some ions from the soil. Roots exhibit a variety of branching patterns that facilitate this process. The outermost root cells have specialized structures called root hairs that increase the root surface, thus increasing soil contact. Water can passively cross into roots, as the concentration of water in the soil is higher than that of the root tissue. Minerals, in contrast, are actively transported into root cells.
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Poiseuille's Law and Reynolds Number01:10

Poiseuille's Law and Reynolds Number

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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:
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Design Example: Flow of Oil Through Circular Pipes01:25

Design Example: Flow of Oil Through Circular Pipes

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Understanding fluid flow behavior through pipes is critical in fluid mechanics, especially in applications like oil transportation through pipelines. Hagen-Poiseuille's law provides an exact solution derived from the Navier-Stokes equations for steady, incompressible, and laminar flow within a circular pipe. Hagen-Poiseuille's law helps determine the necessary pressure drop across a pipeline section by determining parameters like pipe length, radius, oil viscosity, and the desired...
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相关实验视频

Updated: Jun 17, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

513

在随机网络上的最短路径透.

Minsuk Kim1, Filippo Radicchi1

  • 1Center for Complex Networks and Systems Research, Luddy School of Informatics, Computing, and Engineering, <a href="https://ror.org/01kg8sb98">Indiana University</a>, Bloomington, Indiana 47408, USA.

Physical review letters
|August 9, 2024
PubMed
概括
此摘要是机器生成的。

我们为运输网络资源耗尽引入了债券透模型. 删除最短路径会导致透过渡,揭示有限与无限预算的不同行为.

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科学领域:

  • 网络科学 网络科学
  • 统计物理 统计物理
  • 运输系统 运输系统

背景情况:

  • 运输网络面临着资源消耗和耗尽的挑战.
  • 了解需求下的网络弹性对于基础设施管理至关重要.

研究的目的:

  • 提出和分析一种用于运输网络资源耗尽的债券透模型.
  • 研究最短路径透过渡及其特征.

主要方法:

  • 开发一种债券透模型,根据预算删除最短路径的边缘.
  • 在同质随机图中研究透过渡.
  • 应用有限尺寸缩放分析来描述过渡.

主要成果:

  • 对于有限的预算,过渡反映了普通的透,一个单一的巨型星团正在缩小.
  • 对于无限的预算,过渡是突然的,导致巨型组件的突然碎片化.
  • 该模型完全描述了随机图中的最短路径-透过渡.

结论:

  • 拟议的模型有效地描述了资源耗尽和网络碎片化.
  • 在资源限制下,网络行为根据预算限制显著不同.
  • 调查结果提供了对运输网络弹性和关键过渡点的见解.