A thermodynamic description of the Ranque effect is given. Inclusion of expansion and compression into the energy exchange process provides a rational explanation to the effect observed. These works are performed by small portions of the gas in polytropic processes. Rotational motion of the gas and the presence of irreversibility in the expansion and compression processes are responsible for energy separation. The mathematical model is constructed with the use of conservation laws and polytropic expansion. Optimization calculations are performed for various values of the efficiency and Mach number of the exhausting hot gas. A method of working process optimization hat can be used in practice is proposed. The efficiency of the expansion work is also determined in the course of optimization.

中文翻译：

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热力学描述和兰克效应优化的经验

给出了兰克效应的热力学描述。将膨胀和压缩包括在能量交换过程中，为观察到的效果提供了合理的解释。这些工作是通过多方过程中的一小部分气体完成的。气体的旋转运动以及膨胀和压缩过程中不可逆的存在是能量分离的原因。该数学模型是利用守恒定律和多向性展开来构造的。针对排出的热气的效率和马赫数的各种值执行优化计算。提出了一种可以在实践中使用的工作流程优化方法。扩展工作的效率也在优化过程中确定。