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相关概念视频

Control Volume and System Representations01:16

Control Volume and System Representations

1.2K
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...
1.2K
Hess's Law03:40

Hess's Law

44.9K
There are two ways to determine the amount of heat involved in a chemical change: measure it experimentally, or calculate it from other experimentally determined enthalpy changes. Some reactions are difficult, if not impossible, to investigate and make accurate measurements for experimentally. And even when a reaction is not hard to perform or measure, it is convenient to be able to determine the heat involved in a reaction without having to perform an experiment.
44.9K
Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

446
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
446
Conservation of Energy in Control Volume01:14

Conservation of Energy in Control Volume

827
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:
827
Enthalpy of Solution02:39

Enthalpy of Solution

24.7K
There are two criteria that favor, but do not guarantee, the spontaneous formation of a solution:
24.7K
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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相关实验视频

Updated: Jun 17, 2025

Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment
04:35

Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment

Published on: July 5, 2024

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固体边界输出反控制的斯蒂芬问题:度方法方法.

Bryan Petrus1, Zhelin Chen2, Hamza El-Kebir2

  • 1University of Illinois Urbana-Champaign, Champaign, IL 61801 USA. He is now with Nucor Steel Decatur, Decatur, AL 35673 USA.

IEEE transactions on automatic control
|August 7, 2024
PubMed
概括

这项研究为斯蒂芬问题开发了输出反边界控制定律,使得使用基于度的系统状态能够精确跟踪温度和相变界面. 这些方法可确保稳定的控制和精确的轨迹跟踪扩散系统.

关键词:
控制 控制 控制 控制 控制斯蒂芬问题问题 斯蒂芬问题恩塔尔皮 (Enthalpy) 是一种对生物体的治疗方法.非线性部分微分方程的非线性部分微分方程.固化的固化过程

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Temperature-Controlled Assembly and Characterization of a Droplet Interface Bilayer
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Temperature-Controlled Assembly and Characterization of a Droplet Interface Bilayer

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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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相关实验视频

Last Updated: Jun 17, 2025

Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment
04:35

Author Spotlight: Simulation and Analysis of the Temperature Rise of Ring Main Unit Equipment

Published on: July 5, 2024

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Temperature-Controlled Assembly and Characterization of a Droplet Interface Bilayer
10:11

Temperature-Controlled Assembly and Characterization of a Droplet Interface Bilayer

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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:

  • 热力学和热转移热力学
  • 控制系统工程 控制系统工程
  • 数学建模的数学建模

背景情况:

  • 斯蒂芬问题,一个移动边界的相变问题,由于其非线性动态,在控制方面提出了重大挑战.
  • 准确控制温度配置和接口位置对于许多涉及相位转换的工业过程至关重要.

研究的目的:

  • 为一个非线性,一维的部分微分方程 (PDE) 过程模型开发输出反边界控制规律,代表斯蒂芬问题.
  • 为了实现空间时间温度和时间接口位置的轨迹跟踪.

主要方法:

  • 度被用作系统状态,通过温度配置和接口位置来表达.
  • 一个全状态反控制器是为单面边界控制而设计的.
  • 一个稳定的观察者是为完全状态的重建而开发的.
  • 输出反控制规律是通过将控制器和观察器结合起来来得出的.

主要成果:

  • 开发的控制规律确保温度和接口错误在单面和双面的Stefan问题上实现闭环趋同.
  • 模拟显示了指数式轨迹的趋同.
  • 实现了可实现的光滑边界控制信号.

结论:

  • 拟议的输出反边界控制策略有效地解决了斯蒂芬问题的复杂性.
  • 可以实现温度和相变接口的稳定和准确的轨迹跟踪.
  • 该方法为控制具有移动边界的扩散型系统提供了强大的框架.