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相关概念视频

Energy Conservation and Bernoulli's Equation01:16

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Applying the conservation of energy principle or the work-energy theorem to an incompressible, inviscid fluid in laminar, steady, irrotational flow leads to Bernoulli's equation. It states that the sum of the fluid pressure, potential, and kinetic energy per unit volume is constant along a streamline.
All the terms in the equation have the dimension of energy per unit volume. The kinetic energy per unit volume is called the kinetic energy density, and the potential energy per unit volume is...
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Path Between Thermodynamics States01:21

Path Between Thermodynamics States

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Consider the two thermodynamic processes involving an ideal gas that are represented by paths AC and ABC in Figure 1:
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Conservation of Energy in Control Volume01:14

Conservation of Energy in Control Volume

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Consider a turbine operating under steady-flow conditions. The control volume is drawn around the turbine, with fluid entering at one point and exiting at another. The turbine extracts energy from the fluid, which performs mechanical work (shaft work).
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
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Thin-Walled Hollow Shafts01:15

Thin-Walled Hollow Shafts

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In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution...
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Control Volume and System Representations01:16

Control Volume and System Representations

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Two key frameworks are employed to analyze mass, energy, and momentum transfer: the control volume approach and the system approach. These frameworks offer different perspectives, depending on whether the focus is on a specific region in space (control volume approach) or a defined mass of fluid (system approach).
The control volume approach considers a stationary region in space through which fluid flows. This region is bounded by a control surface.  For instance, in the case of water...
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Efficiency of The Carnot Cycle01:16

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The hypothetical Carnot cycle consists of an ideal gas subjected to two isothermal and two adiabatic processes. Since the internal energy of an ideal gas depends only on its temperature, which is the same before and after the completion of the Carnot cycle, there is no change in its internal energy. Hence, using the first law of thermodynamics, the total heat exchanged by the ideal gas equals the total work done. Thus, we can quantify the efficiency of the Carnot cycle via the heat exchanged...
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相关实验视频

Updated: Jun 20, 2025

A Rapid Method for Modeling a Variable Cycle Engine
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用可变体积分数进行双胞胎结合的一种能源最小化方法.

Sergio Conti1, Robert V Kohn2, Oleksandr Misiats3

  • 1Institut für Angewandte Mathematik, Universität Bonn, 53115 Bonn, Germany.

Journal Of Elasticity
|July 22, 2024
PubMed
概括
此摘要是机器生成的。

这项研究模拟了在曲下的马氏体材料中"具有可变体积分数的结合"的模型. 能量最小化模型预测了微结构与表面能量密度的扩展方式,通过上下界限验证.

关键词:
曲 曲 曲 是一个固体-固体相变的过程双胞胎生长是一个双胞胎生长.

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A Modeling and Simulation Method for Preliminary Design of an Electro-Variable Displacement Pump
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相关实验视频

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科学领域:

  • 材料科学 材料科学 材料科学
  • 固体力学 固体力学是什么
  • 晶体学 晶体学是指结晶学.

背景情况:

  • 经过马氏体相变的材料的宏观负荷会诱导弹性域的重新排列.
  • 称为"具有可变体积分数的结合"的特定微观结构在曲下出现的单晶板块中,具有两个马石变体.
  • 乔普拉等人以前的实验工作. (1996) 详细介绍了这种现象在- (InTl) 合金中.

研究的目的:

  • 开发一种基于能源最小化的模型,用于"与可变体积分数结合并"的微观结构.
  • 分析最小能量与表面能量密度相对应的缩放行为.
  • 提供理论界限来解释观察到的微观结构的最佳性.

主要方法:

  • 利用几何线性弹性与相位边界的尖接口.
  • 根据迪里克莱特或诺曼的边界条件制定了非线性,非凸变量问题,以模拟曲.
  • 建立了理论上下界限来确定能量缩放.

主要成果:

  • 该模型成功地预测了最小能量与表面能量密度的缩放.
  • 基于Ansatz的上限为近乎最佳的微观结构提供了详细的见解.
  • 无替代品的下界证实了这些微观结构的效率,表明没有更好的安排存在.

结论:

  • 开发的能量最小化模型准确地捕捉了曲下"与可变体积分数结合并"的行为.
  • 由此得出的缩放定律对于理解马氏体相变换中的微结构演变至关重要.
  • 理论边界证实了模拟的微观结构的能量优势.