一个不可逆转的热发动机的基本限制
1Center for Advanced Control and Smart Operations, Nanjing University, Suzhou 215163, China.
Entropy (Basel, Switzerland)
|January 8, 2025
概括
我们使用随机热力学探索了不可逆转的斯特林式热发动机的最大功率输出. 发现了能量消耗与瓦瑟斯坦距离之间的新联系,使最佳控制策略能够提高性能.
科学领域:
- 热力学是一种热力学.
- 统计力学 统计力学
- 非平衡系统 非平衡系统
背景情况:
- 随机热力学为理解远离平衡运行的小系统提供了一个框架.
- 热发动机对于能量转换至关重要,但它们的性能受到不可逆性和散热的限制.
- 了解最佳性能需要分析能量消耗和控制策略.
研究的目的:
- 为了研究不可逆转的斯特林式热发动机的最佳性能.
- 为了推导出超和低模型的最大输出功率的上限.
- 开发一个最佳的控制策略,以实现最大功率和确定效率.
主要方法:
- 使用了随机热力学框架.
- 建立了能量消散和瓦瑟斯坦距离之间的联系.
- 通过分析得出最大功率和最佳控制策略的上限.
主要成果:
- 获得了不可逆转的斯特林式热发动机最大功率的上限.
- 在能量消耗和瓦斯斯坦距离之间建立了直接联系.
- 开发了一个分析最佳控制策略,以实现最大功率.
- 确定过度减压模型在最大功率时的效率.
结论:
- 该研究为优化不可逆热发动机性能提供了一个理论框架.
- 这些发现提供了对小型热力学系统功率输出和效率的基本限制的见解.
- 开发的最佳控制策略可以指导设计更高效的能量转换设备.
相关概念视频
The Carnot Cycle
2.8K
Converting work to heat is an irreversible process, and the purpose of a heat engine is to reverse the effect partially. Heat engines aim to increase the efficiency of the reversal, that is, maximize the work retrieved from heat. If the efficiency of a heat engine were 100%, it would imply reversing the process completely without introducing any other effect. Thus, it would violate the second law of thermodynamics.
What could be the theoretical limit to the efficiency of a heat engine? The...
What could be the theoretical limit to the efficiency of a heat engine? The...
2.8K
The Carnot Cycle and the Second Law of Thermodynamics
2.5K
The Carnot engine works between two heat reservoirs of fixed temperatures. The Carnot cycle begs the following question: Is it possible to devise a heat engine that is more efficient than a Carnot engine between two fixed temperatures? The answer lies in designing a Carnot refrigerator.
Since the individual steps in a Carnot cycle can be reversed, the entire cycle is, thus, reversible. If a Carnot cycle is reversed, it becomes a Carnot refrigerator. It extracts heat Qc from a cold reservoir at...
Since the individual steps in a Carnot cycle can be reversed, the entire cycle is, thus, reversible. If a Carnot cycle is reversed, it becomes a Carnot refrigerator. It extracts heat Qc from a cold reservoir at...
2.5K
Reversible and Irreversible Processes
4.1K
The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
4.1K
Statements of the Second Law of Thermodynamics
2.6K
The second law of thermodynamics can be stated in several different ways, and all of them can be shown to imply the others. The Clausius’ statement of the second law of thermodynamics is based on the irreversibility of spontaneous heat flow. It states that heat will not flow from the colder body to the hotter body unless some other process is involved. Additionally, as per the Kelvin’s statement, it is impossible to convert the heat from a single source into work without any other...
2.6K
Entropy Change in Reversible Processes
2.5K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.5K
Heat Engines
2.7K
A heat engine is a device used to extract heat from a source and then convert it into mechanical work used for various applications. For example, a steam engine on an old-style train can produce the work needed for driving the train.
Whenever we consider heat engines (and associated devices such as refrigerators and heat pumps), we do not use the standard sign convention for heat and work. For convenience, we assume that the symbols Qh, Qc, and W represent only the amounts of heat transferred...
Whenever we consider heat engines (and associated devices such as refrigerators and heat pumps), we do not use the standard sign convention for heat and work. For convenience, we assume that the symbols Qh, Qc, and W represent only the amounts of heat transferred...
2.7K


