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相关概念视频

Bernoulli's Equation: Problem Solving01:16

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A Venturi meter is essential for measuring fluid flow rates in pipelines. It utilizes the relationship between fluid velocity and pressure described by Bernoulli's equation. When installed in a sewage system, the Venturi meter accurately determines the wastewater flow rate by measuring pressure differences.
The first step is to compute the cross-sectional areas of the pipe and the Venturi throat to analyze the pressure difference indicated by the pressure gauge. Next, the continuity...
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Bernoulli's Equation for Flow Along a Streamline01:30

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Bernoulli's equation relates the energy conservation in a fluid moving along a streamline. The equation applies to incompressible and inviscid fluids under steady flow. For such a flow, Newton's second law is applied to a small fluid element, which experiences forces due to pressure differences, gravity, and velocity variations. The force balance leads to the following form of Bernoulli's equation:
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In the middle of the nineteenth century, it was observed that two trains passing each other at a high relative speed get pulled towards each other. The same occurs when two cars pass each other at a high relative speed. The reason is that the fluid pressure drops in the region where the fluid speeds up. As the air between the trains or the cars increases in speed, its pressure reduces. The pressure on the outer parts of the vehicles is still the atmospheric pressure, while the resultant...
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Bernoulli's Equation for Flow Normal to a Streamline01:16

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Bernoulli's equation for flow normal to a streamline explains how pressure varies across curved streamlines due to the outward centrifugal forces induced by the fluid's curvature. The pressure is higher on the inner side of the curve, near the center of curvature, and decreases outward to balance these centrifugal forces.
The pressure difference depends on the fluid's velocity and radius of curvature. The pressure variation is minimal in flows with nearly straight streamlines.
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Bernoulli's Principle: Applications01:17

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There are many devices and situations in which fluid flows at a constant height and so can be analyzed using Bernoulli's principle. These devices include, but are not limited to, entrainment devices and fluid flow measuring devices.
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For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
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贝叶斯优化为基础的逆有限元分析,用于心房心的心脏门.

Colton J Ross1, Devin W Laurence2, Ankush Aggarwal3

  • 1Biomechanics & Biomaterials Design Laboratory, School of Aerospace and Mechanical Engineering, University of Oklahoma, Norman, OK, USA.

Annals of biomedical engineering
|November 22, 2023
PubMed
概括

贝叶斯优化改进了心脏膜的逆有限元分析,使得可以准确地预测体内机械反应. 这种方法提高了对心脏门功能的理解,即使是复杂的先天性缺陷.

关键词:
构成模型参数的基本参数心脏膜生物力学心脏膜生物力学在模拟模型.基于统计数据的建模.

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科学领域:

  • 生物医学工程 生物医学工程
  • 计算力学 计算力学 计算力学
  • 心血管研究研究心血管研究

背景情况:

  • 反向有限元分析 (iFEA) 提供了对体内心脏门功能的洞察力,但在预测患者特定的传单机制方面存在局限性.
  • 由于这些挑战,目前的IFEA方法并没有被广泛采用到临床应用中.

研究的目的:

  • 探索贝叶斯优化 (BO) 在体内心脏膜 (AHV) 功能性行为分析中的应用.
  • 评估BO在AHV模型的材料系数估计中的有效性.
  • 开发和应用一个BO集成的IFEA框架,用于患者特定的AHV传单属性预测.

主要方法:

  • 利用贝叶斯优化 (BO) 在基准问题 (通货膨胀测试,小册子接触,理想化的AHV模型) 中估计同位素Lee-Sacks物质系数.
  • 开发了一个BO-iFEA框架,并将其应用于患有先天性心脏缺陷的患者特定的三管.
  • 评估了一种in-silico建模方法,用移位边界条件替换chordea,以改善iFEA收.

主要成果:

  • 博精确地构建了目标函数表面,超过了传统的网格搜索分析.
  • 在BO-iFEA框架下,材料参数预测的平均元素误差低于0.02mm/mm.
  • 鉴定了由于客观函数谷的非唯一的解决方案,表明功能等效的结果.

结论:

  • 证明了贝叶斯优化首次用于心脏门心脏门逆有限元分析.
  • 拟议的BO-iFEA框架显示了准确的in-vivoAHV机械响应预测的前景.
  • 用边界条件取代chordea提高了iFEA收率和客观表面光滑度.