相关实验视频
Updated: Jul 7, 2025

07:28
Evolution of Staircase Structures in Diffusive Convection
Published on: September 5, 2018
6.5K
卡塔内奥-克里斯托夫热流模型在经过里加板的混合冲动停滞点:莱文伯格-马奎特反向传播方法
Saddiqa Hussain1, Saeed Islam1, Kottakkaran Sooppy Nisar2,3
1Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Khyber Pakhtunkhwa, Pakistan.
Heliyon
|December 25, 2023
概括
这项研究引入了一个神经网络 (NN-BLMM),使用莱文伯格-马奎特反向传播来分析经过里加板的热流. 人工智能模型准确地模拟了复杂的流体动力学,验证了它在先进的传热研究中的有效性.
科学领域:
- 计算流体动力学的流体动力学.
- 热传递是一种热传递.
- 工程领域的人工智能
背景情况:
- 人工智能 (AI) 和软计算为科学研究中的建模和分析提供了强大的工具.
- 研究热流动力学对于理解和优化各种工程应用至关重要.
- 与经典模型相比,卡塔内奥-克里斯托夫热流模型 (CCHFM) 提供了更准确的热传递现象描述.
研究的目的:
- 设计和实施一个智能计算方法,使用一个神经网络与莱文伯格-马奎特方法 (NN-BLMM) 进行反向传播.
- 在经过里加板的混合冲动停滞点 (CCHFM-MISP) 上研究卡塔内奥-克里斯托夫热流模型.
- 分析各种参数对流体系统的物理影响,并验证拟议的AI模型.
主要方法:
- 使用相似性变量,CCHFM-MISP的非线性部分微分方程 (PDEs) 被转换为普通微分方程 (ODEs).
- 通过系统地改变关键参数 (哈特曼数,速度比等) 使用Lobatto IIIA数值解析器生成了一个数据集. ) 的情况.
- 经过NN-BLMM的培训,测试和验证 (80%,10%,10%分) 来接近解决方案并与参考数据进行比较.
主要成果:
- 对于训练,测试和验证数据集来说,NN-BLMM表现出高准确度,平均平方误差约为10^-10.
- 由NN-BLMM生成的解决方案与确定性Lobatto IIIA解决器 (精度高达10^-6) 的解决方案非常相匹配.
- 分析显示,像热放松变量这样的特定参数会影响流体速度,磁性和速度比参数会增加它,而另一个参数会减少它.
结论:
- 该NN-BLMM是一个高度有效和验证的解决方案,用于分析复杂的传热问题,如CCHFM-MISP通过里加板.
- 这项研究证实了人工智能驱动的软计算方法在流体动力学中进行准确的建模,模拟和分析的能力.
- 这些发现为研究系统中各种物理参数的影响下流体流动的行为提供了宝贵的见解.
相关概念视频
Bernoulli's Equation for Flow Along a Streamline
980
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:
980
Turbulent Flow: Problem Solving
132
Carbonation is a process used to dissolve carbon dioxide gas in a liquid, commonly used in the production of carbonated beverages. Achieving efficient carbonation requires careful control of temperature, pressure, and flow conditions. By adjusting these parameters, carbonation efficiency can be maximized, producing a higher concentration of CO2 in the liquid.
Temperature is a key factor in CO2 solubility. In this case, the CO2 gas and the liquid are cooled to 20°C. Lower temperatures...
Temperature is a key factor in CO2 solubility. In this case, the CO2 gas and the liquid are cooled to 20°C. Lower temperatures...
132
Bernoulli's Equation: Problem Solving
1.3K
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...
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...
1.3K
Bernoulli's Equation for Flow Normal to a Streamline
866
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.
The pressure difference depends on the fluid's velocity and radius of curvature. The pressure variation is minimal in flows with nearly straight streamlines.
866
Mechanisms of Heat Transfer II
3.3K
In convection, thermal energy is carried by the large-scale flow of matter. Ocean currents and large-scale atmospheric circulation, which result from the buoyancy of warm air and water, transfer hot air from the tropics toward the poles and cold air from the poles toward the tropics. The Earth’s rotation interacts with those flows, causing the observed eastward flow of air in the temperate zones. Convection dominates heat transfer by air, and the amount of available space for the airflow...
3.3K
Uniform Depth Channel Flow: Problem Solving
66
To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
66

