优化绝缘材料的热损失和通过热板的空气流的边界层厚度,使用非线性最小平方误差和线性编程算法
1Department of Mechanical Engineering, College of Engineering, King Saud University, 13415 Riyadh, Saudi Arabia.
ACS omega
|November 29, 2023
概括
在工程中最大限度地减少热损失需要选择正确的优化技术. 这项研究比较了非线性最小平方误差,内部点线性编程和热传递问题的遗传算法.
科学领域:
- 热传递工程 热传递工程
- 应用数学 应用数学 应用数学
- 计算科学 计算科学
背景情况:
- 热损失是各种传热应用中的一个关键挑战.
- 现有的研究往往侧重于单一的优化技术,缺乏针对特定问题的比较分析.
- 需要在定义的约束下对不同优化方法进行全面的比较.
研究的目的:
- 审查基本的传热问题,并确定最大限度地减少热损失的最佳技术.
- 为了比较非线性最小平方误差 (LSE),内部点线性编程 (IPLP) 和遗传算法 (GA) 的有效性.
- 为特定的传热场景推最合适的优化技术.
主要方法:
- 该研究评估了三个优化技术:非线性最小平方误差 (LSE),内部点线性编程 (IPLP) 和遗传算法 (GA).
- 分析了两个不同的传热情况:来自圆柱形绝缘表面的热损失和在加热板上的层状空气流.
- 在定义的边界条件和约束条件下,评估和比较每个技术的性能.
主要成果:
- 非线性最小平方误差 (LSE) 证明了优化圆柱形绝缘表面的热损失的卓越性能.
- 内部点线性编程 (IPLP) 和遗传算法 (GA) 被确定为在加热板上的层状空气流问题上的有效方法.
- 平均导热率为0.081 W/mK,平均绝缘厚度为213.25 mm.
结论:
- 选择合适的优化技术对于有效减少工程问题中的热损失至关重要.
- 建议使用LSE来优化圆柱体绝缘,而IPLP和GA则适用于层流传热.
- 这种比较分析为未来的研究提供了基础,为各种传热挑战选择和实施先进的优化技术.
相关概念视频
Conduction, Convection and Radiation: Problem Solving
1.2K
There are three methods by which heat transfer can take place: conduction, convection, and radiation. Each method has unique and interesting characteristics, but all three have two things in common: they transfer heat solely because of a temperature difference; and the greater the temperature difference, the faster the heat transfer.
In order to solve a problem related to heat transfer, first of all, the situation needs to be examined to determine the type of heat transfer involved. This could...
In order to solve a problem related to heat transfer, first of all, the situation needs to be examined to determine the type of heat transfer involved. This could...
1.2K
Steady, Laminar Flow Between Parallel Plates
200
Understanding steady, laminar flow between parallel plates is essential for analyzing and designing flow in narrow rectangular channels, commonly found in various water conveyance and drainage systems. The Navier-Stokes equations govern fluid motion and are generally challenging to solve due to their nonlinearity. However, simplifications are possible in certain cases, like the steady laminar flow between parallel plates. For this scenario, we assume steady, incompressible, laminar flow.
200
Thermal expansion and Thermal stress: Problem Solving
1.2K
San Francisco's Golden Gate Bridge is exposed to temperatures ranging from -15 °C to 40 °C. At its coldest, the main span of the bridge is 1275 m long. Assuming that the bridge is made entirely of steel, what is the change in its length between these temperatures?
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in...
To solve the problem, first, identify the known and unknown quantities. The initial length (L) of the bridge is 1275 m, the coefficient of linear expansion (α) for steel is 12 x 10-6/°C, and the change in...
1.2K
Calorimetry
3.0K
When objects at different temperatures are placed in contact with each other but isolated from everything else, they attain thermal equilibrium. A container that prevents heat transfer in or out is called a calorimeter, and the use of a calorimeter to make measurements is called calorimetry. Generally, these measurements involve heat or specific heat capacity. The term "calorimetry problem" is used for any problem where the specified objects are thermally isolated from their...
3.0K
Mechanisms of Heat Transfer I
4.3K
Just as interesting as the effects of heat transfer on a system are the methods by which the heat transfer occur. Whenever there is a temperature difference, heat transfer occurs. It may occur rapidly, such as through a cooking pan, or slowly, such as through the walls of a picnic ice box. So many processes involve heat transfer that it is hard to imagine a situation where no heat transfer occurs. Yet, every heat transfer takes place by only three methods: conduction, convection, and radiation.
4.3K
Minor Losses in Pipes
1.1K
In pipe systems, minor losses refer to energy losses arising from components such as valves, bends, fittings, expansions, and other features that disrupt the steady flow of fluid. These disturbances cause energy dissipation through turbulence and resistance, which engineers quantify to manage system efficiency effectively.
Valves play a significant role in generating minor losses by obstructing or redirecting the fluid flow. When a valve is closed or partially closed, it restricts the flow...
Valves play a significant role in generating minor losses by obstructing or redirecting the fluid flow. When a valve is closed or partially closed, it restricts the flow...
1.1K


