{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:30:32Z","timestamp":1760243432364,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2013,3,28]],"date-time":"2013-03-28T00:00:00Z","timestamp":1364428800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The performance and design criteria of air powered multistage turbines are studied thermodynamically in this paper. In-house code is developed in the C++ environment and the characteristics of four-stage turbines with inter-heating are analyzed in terms of maximum thermal efficiency, maximum exergy efficiency and maximum work output over the inlet temperature range of 293 K\u2013793 K with inlet pressure of 70 bar. It is found that the maximum thermal efficiency, maximum exergy efficiency and maximum work output are 62.6%, 91.9%, 763.2 kJ\/s, respectively. However, the thermal efficiency, exergy efficiency and work output are not equivalent for the four-stage radial turbine. It is suggested that at low working temperatures both maximum exergy efficiency and maximum work output can be used as the design objective, however, only maximum work output can be used as the design objective for the four-stage radial turbine over the working temperature range in this work.<\/jats:p>","DOI":"10.3390\/e15041186","type":"journal-article","created":{"date-parts":[[2013,3,28]],"date-time":"2013-03-28T13:35:44Z","timestamp":1364477744000},"page":"1186-1201","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Analysis of an Air Powered Engine System Using a Multi-Stage Radial Turbine"],"prefix":"10.3390","volume":"15","author":[{"given":"Xuehui","family":"Zhang","sequence":"first","affiliation":[{"name":"Institute of Engineering Thermophysics, Chinese Academy of Sciences, 11 Beisihuanxi Road, Beijing 100190, China"},{"name":"University of Chinese Academy of Sciences, 19A Yuquan Road, Beijing 100049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Haisheng","family":"Chen","sequence":"additional","affiliation":[{"name":"Institute of Engineering Thermophysics, Chinese Academy of Sciences, 11 Beisihuanxi Road, Beijing 100190, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaohui","family":"Yan","sequence":"additional","affiliation":[{"name":"Institute of Engineering Thermophysics, Chinese Academy of Sciences, 11 Beisihuanxi Road, Beijing 100190, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinjing","family":"Zhang","sequence":"additional","affiliation":[{"name":"Institute of Engineering Thermophysics, Chinese Academy of Sciences, 11 Beisihuanxi Road, Beijing 100190, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Chunqing","family":"Tan","sequence":"additional","affiliation":[{"name":"Institute of Engineering Thermophysics, Chinese Academy of Sciences, 11 Beisihuanxi Road, Beijing 100190, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2013,3,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Rodgers, C. 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