{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T06:27:11Z","timestamp":1762064831635,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2022,9,3]],"date-time":"2022-09-03T00:00:00Z","timestamp":1662163200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, by using three-dimensional numerical simulations, the optimization of the cross-sectional area and angle of the secondary flow inlet is first conducted. Then, to further improve the ejector performance, an auxiliary entrainment is proposed and the optimization of the relative position, cross-sectional area and angle of the auxiliary entrainment inlet is accordingly performed by using three-dimensional methods. The results show that: (1) the performance of the ejector with the secondary flow in a vertical direction to the primary flow is slightly better than that in a parallel direction to the primary flow; (2) the effect of the cross-sectional area of the secondary flow has a relatively evident influence on ER, but its effect becomes ignored when the inlet area increases to a certain value; (3) the relative position and axial width of the auxiliary entrainment inlet are important factors influencing ejector performance, and after the optimization of these two geometries, the ejector ER can be increased by 97.7%; and (4) the optimization of the auxiliary entrainment inlet has a substantial effect on the ejector performance as compared to that of the secondary flow inlet. The novelty of this study is that the effect of an auxiliary entrainment on the ejector\u2019s performance is identified by using a three-dimensional numerical simulation for the first time.<\/jats:p>","DOI":"10.3390\/e24091241","type":"journal-article","created":{"date-parts":[[2022,9,5]],"date-time":"2022-09-05T23:35:57Z","timestamp":1662420957000},"page":"1241","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Optimization on Secondary Flow and Auxiliary Entrainment Inlets of an Ejector by Using Three-Dimensional Numerical Study"],"prefix":"10.3390","volume":"24","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7674-176X","authenticated-orcid":false,"given":"Jia","family":"Yan","sequence":"first","affiliation":[{"name":"School of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang 621010, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jing","family":"Jiang","sequence":"additional","affiliation":[{"name":"School of Artificial Intelligence, Yantai Institute of Technology, Yantai 264003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zheng","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang 621010, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"138","DOI":"10.1016\/j.apenergy.2019.01.185","article-title":"A comprehensive review of ejector design, performance, and applications","volume":"240","author":"Tashtoush","year":"2019","journal-title":"Appl. Energy"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"373","DOI":"10.1016\/j.rser.2015.08.059","article-title":"Ejector refrigeration: A comprehensive review","volume":"53","author":"Besagni","year":"2016","journal-title":"Renew. Sustain. Energy Rev."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/j.energy.2018.03.041","article-title":"Optimization analysis of structure parameters of steam ejector based on CFD and orthogonal test","volume":"151","author":"Wu","year":"2018","journal-title":"Energy"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"3693","DOI":"10.1016\/j.aej.2021.02.042","article-title":"Performance improvement of ejector refrigerator\u2013based water chiller working with different mixing chamber profiles","volume":"60","author":"Sutthivirode","year":"2021","journal-title":"Alex. Eng. J."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ijrefrig.2015.10.031","article-title":"Review of recent developments in advanced ejector technology","volume":"62","author":"Elbel","year":"2016","journal-title":"Int. J. Refrig."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"101558","DOI":"10.1016\/j.csite.2021.101558","article-title":"Solar thermal energy to drive ejector HVAC systems: A numerical study under Blida climatic conditions","volume":"28","author":"Ghodbane","year":"2021","journal-title":"Case Stud. Therm. Eng."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"114421","DOI":"10.1016\/j.enconman.2021.114421","article-title":"Two-phase ejector enhanced carbon dioxide transcritical heat pump for cold climate","volume":"243","author":"Ameur","year":"2021","journal-title":"Energy Convers. Manag."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1925","DOI":"10.1016\/j.ijhydene.2021.10.140","article-title":"Experimental analysis of an ejector for anode recirculation in a 10 kW polymer electrolyte membrane fuel cell system","volume":"47","author":"Wang","year":"2021","journal-title":"Int. J. Hydrogen Energy"},{"key":"ref_9","first-page":"100114","article-title":"Performance degradation of a proton exchange membrane fuel cell with dual ejector-based recirculation","volume":"12","author":"Liu","year":"2021","journal-title":"Energy Convers. Manag. X"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"38841","DOI":"10.1016\/j.ijhydene.2021.09.148","article-title":"Numerical studies on ejector in proton exchange membrane fuel cell system with anodic gas state parameters as design boundary","volume":"46","author":"Ma","year":"2021","journal-title":"Int. J. Hydrogen Energy"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"117379","DOI":"10.1016\/j.applthermaleng.2021.117379","article-title":"Effect of mixing chamber length on ejector performance with fixed\/varied area ratio under three operating conditions in refrigerated trucks","volume":"197","author":"Wen","year":"2021","journal-title":"Appl. Therm. Eng."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"536","DOI":"10.1016\/j.energy.2018.07.110","article-title":"Auto-tuning ejector for refrigeration system","volume":"161","author":"Wang","year":"2018","journal-title":"Energy"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"116612","DOI":"10.1016\/j.applthermaleng.2021.116612","article-title":"Multi-scale evaluation of an R290 variable geometry ejector","volume":"188","author":"Besagni","year":"2021","journal-title":"Appl. Therm. Eng."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"950","DOI":"10.1016\/j.applthermaleng.2018.12.052","article-title":"Numerical assessment of ejector performance enhancement by means of combined adjustable-geometry and bypass methods","volume":"149","author":"Chen","year":"2019","journal-title":"Appl. Therm. Eng."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"115426","DOI":"10.1016\/j.applthermaleng.2020.115426","article-title":"Numerical investigation on optimization of ejector primary nozzle geometries with fixed\/varied nozzle exit position","volume":"175","author":"Yan","year":"2020","journal-title":"Appl. Therm. Eng."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1216","DOI":"10.1016\/j.energy.2018.10.095","article-title":"Numerical investigation of the flow structures inside mixing section of the ejector","volume":"166","author":"Metin","year":"2019","journal-title":"Energy"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/j.ijthermalsci.2017.08.024","article-title":"Three-dimensional numerical investigations on rectangular cross-section ejector","volume":"122","author":"Arun","year":"2017","journal-title":"Int. J. Therm. Sci."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"115204","DOI":"10.1016\/j.applthermaleng.2020.115204","article-title":"Numerical investigation on the influence of mixing chamber length on steam ejector performance","volume":"174","author":"Dong","year":"2020","journal-title":"Appl. Therm. Eng."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1016\/j.ijheatfluidflow.2015.08.003","article-title":"Computational and experimental analysis of supersonic air ejector: Turbulence modeling and assessment of 3D effects","volume":"56","author":"Mazzelli","year":"2015","journal-title":"Int. J. Heat Fluid Flow"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"244","DOI":"10.1016\/j.ijthermalsci.2017.06.009","article-title":"Characteristics of static pre-cyclonic steam ejector","volume":"120","author":"Tao","year":"2017","journal-title":"Int. J. Therm. Sci."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/j.applthermaleng.2018.12.030","article-title":"Application of numerical modelling for design and improvement of performance of gas ejector","volume":"149","author":"Gagan","year":"2019","journal-title":"Appl. Therm. Eng."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"116347","DOI":"10.1016\/j.energy.2019.116347","article-title":"Optimization on crucial ejector geometries in a multi-evaporator refrigeration system for tropical region refrigerated trucks","volume":"189","author":"Li","year":"2019","journal-title":"Energy"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"770","DOI":"10.1016\/j.applthermaleng.2019.01.028","article-title":"Effects of operating conditions and cooling loads on two-stage ejector performances","volume":"150","author":"Wen","year":"2019","journal-title":"Appl. Therm. Eng."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"142","DOI":"10.1016\/j.enconman.2018.08.110","article-title":"Optimization on ejector key geometries of a two-stage ejector-based multi-evaporator refrigeration system","volume":"175","author":"Yan","year":"2018","journal-title":"Energy Convers. Manag."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"116369","DOI":"10.1016\/j.applthermaleng.2020.116369","article-title":"Numerical study on the auxiliary entrainment performance of an ejector with different area ratio","volume":"185","author":"Yan","year":"2021","journal-title":"Appl. Therm. Eng."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"148","DOI":"10.1016\/j.energy.2012.09.007","article-title":"The characteristics of pressure recovery in an adjustable ejector multi-evaporator refrigeration system","volume":"46","author":"Lin","year":"2012","journal-title":"Energy"},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/j.ijrefrig.2021.06.010","article-title":"Performance analysis of a modified dual-ejector and dual-evaporator transcritical CO2 refrigeration cycle for supermarket application","volume":"131","author":"Liu","year":"2021","journal-title":"Int. J. Refrig."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.renene.2012.03.031","article-title":"Geometry parameters effect for air-cooled ejector cooling systems with R134a refrigerant","volume":"46","author":"Yan","year":"2012","journal-title":"Renew. Energy"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Yang, B., Ma, X., Zhang, H., Sun, W., Jia, L., and Xue, H. (2022). Effect of superheat steam on ejector in distilled water preparation system for medical injection. Entropy, 24.","DOI":"10.3390\/e24070960"},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Croquer, S., Poncet, S., and Aidoun, Z. (2017). Thermodynamic modelling of supersonic gas ejector with droplets. 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