线性唯象传热定律下广义不可逆卡诺热机的频率特性

以广义不可逆卡诺热机模型为研究对象,考虑工质与热源间传热服从线性唯象定律,研究热机性能与循环频率的关系.得到了不同于内可逆情况下的输出功率、效率以及可利用温差与循环频率和吸、放热时间比的关系式,通过数值计算,分析了热漏、内不可逆性的影响特点.结果表明,在任一循环吸、放热时间比下,存在一个最佳循环频率,使循环输出功率达到最大;存在热漏时,任一循环吸、放热时间比下,存在一个最佳循环频率,使循环效率达到最大.

Frequency Characteristics of a Generalized Irreversible Carnot Heat Engine Under a Linear Phenomenological Heat Transfer Law

With a generalized irreversible Carnot heat engine serving as an object of study and the heat transfer between the working medium and the heat source being considered as observing the linear phenomenological heat transfer law,studied was the relationship of the heat engine performance and its cycle frequency.Obtained was the relationship among the output ower,efficiency,available temperature difference as well as the ratio of heat absorption and release time under the condition different from an internally reversible Carnot heat engine.Through a numerical calculation,an analysis was conducted of the characteristics influencing the heat leakage and internally irreversible properties.It has been found that at any ratio of the cyclic heat absorption and release time,there exists an optimum cyclic frequency for the engine that can maximize its output power.When there is a heat leakage,at any ratio of the cyclic heat bsorption and release time,there exists an optimum cyclic frequency,resulting in a maximal cyclic efficiency.