通过任意形状的三角管道进行流体流动和热对流的一般分析解决方案:变量分析
Amirhossein Hajiaghaei Tabalvandani1, Mahmood Norouzi1, Mohammad Hassan Kayhani1
1Faculty of Mechanical Engineering, Shahrood University of Technology, Shahrood, Iran.
Heliyon
|February 21, 2024
概括
这项研究为任何三角管道中的流体流动和热传递提供了第一个分析解决方案,这对工业应用至关重要. 它揭示了管道形状和布林克曼数如何影响传热和流量特征.
科学领域:
- * 流体动力学 流体动力学
- * 热传递 热传递 热传递
- * 应用数学 * 应用数学
背景情况:
- * 管道中的流体流动和热传递现有的分析解决方案仅限于特定的几何形状,比如等腰三角形.
- * 非圆形管道,特别是三角管道,在各种工业应用中很普遍,需要一个通用的解决方案.
- * 缺乏分析方法来解决任意形状的三角管道中的热传递,考虑到粘性消散.
研究的目的:
- * 开发第一个流体流动和热传输在任意形状的三角管道内的分析解决方案.
- * 调查管道几何和布林克曼数对流量和热行为的影响.
- * 分析关键布林克曼数在区分冷却和加热模式中的作用.
主要方法:
- * 流量和热传递方程的函数的导数.
- * 应用Ritz方法来解决得到的欧勒-拉格朗日方程.
- *详细分析速度概况,摩擦系数,温度分布和努塞尔特数.
主要成果:
- * 介绍了一种分析解决方案,用于任意三角管道中的热传输,其中墙壁热量流和粘性散热是恒定的.
- * 临界布林克曼数被确定为纽塞尔特数接近无限的点,区分冷却和加热.
- * 在冷却和加热两种模式下,随着布林克曼数的增加,努塞尔特数下降;等边三角形显示最小的摩擦和最大的波西尤尔数.
结论:
- *开发的分析方法为所有三角管道的热传递分析提供了通用方法.
- *几何参数和粘度消散显著影响流体流动和传热特性.
- *这些发现为优化使用三角通道的系统的热管理提供了宝贵的见解.
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