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Graphical Analysis and 3D Thermodynamic Cycle Construction for Variable-Composition Ejector Refrigeration Cycle

Anxiang Shen1, Xinxin Ren2, Tao Wang1, Jianqiu Zhou1,2,*
1 School of Mechanical and Power Engineering, Nanjing Tech University, No. 30 Puzhu Road(S), Nanjing, China
2 School of Energy Science and Engineering, Nanjing Tech University, No. 30 Puzhu Road(S), Nanjing, China
* Corresponding Author: Jianqiu Zhou. Email: email
(This article belongs to the Special Issue: High Efficiency Cooling Technology in New and Renewable Energy System)

Frontiers in Heat and Mass Transfer https://doi.org/10.32604/fhmt.2026.082573

Received 19 March 2026; Accepted 19 May 2026; Published online 03 July 2026

Abstract

To address the growing number of variable-composition ejector refrigeration cycles, this study proposes analyzing the matching performance between working fluids and cycles through 3D (Temperature-Entropy-Mass fraction) Thermodynamic Diagrams. The ejector refrigeration cycle is decoupled into a driving module and a refrigeration module, and a theoretical upper-bound model (COPlimiting) that depends only on working-fluid properties is derived from the T-s diagram. Graph-theoretic analysis yields an explicit relation between COPlimiting and fluid-specific parameters such as Δsb-bsa-b and Δse-e/Δsd-e. Definition of k1T47se-e) and k2T34sb-b) reveals that wet fluids favour the refrigeration module, whereas dry fluids favour the driving module. The influence of different mixtures has been also analyzed. The mixture of R227ea/R152a, R245fa/R134a, and Isobutane/pentane achieved their maximum COPlimiting values at x = 0.5, 0.4, and 0.2, respectively. These optimal compositions all falling within the high-slope region of k2. Additional parameters (x, tg, tc) are evaluated: At MFt = 0.5, increasing x from 0.1 to 0.2 raises the limiting cycle COP from 0.08 to 0.18 and elevates te from −79.24°C to −35.15°C. Raising tg from 85°C to 95°C lowers the limiting cycle COP from 0.1269 to 0.1235 while lifting te from −56.00°C to −49.18°C. Increasing tc from 30°C to 40°C boosts the limiting cycle COP from 0.1216 to 0.1285 and raises te from −60.84°C to −44.26°C.

Keywords

Ejector refrigeration cycle; limiting cycle; zeotropic mixture; graph theory
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