{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,23]],"date-time":"2025-10-23T11:12:03Z","timestamp":1761217923398,"version":"build-2065373602"},"reference-count":40,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2017,1,14]],"date-time":"2017-01-14T00:00:00Z","timestamp":1484352000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["No. 51636005"],"award-info":[{"award-number":["No. 51636005"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Organic Rankine Cycles using radial turbines as expanders are considered as one of the most efficient technologies to convert heavy-duty diesel engine waste heat into useful work. Turbine similarity design based on the existing air turbine profiles is time saving. Due to totally different thermodynamic properties between organic fluids and air, its influence on turbine performance and loss mechanisms need to be analyzed. This paper numerically simulated a radial turbine under similar conditions between R245fa and air, and compared the differences of the turbine performance and loss mechanisms. Larger specific heat ratio of air leads to air turbine operating at higher pressure ratios. As R245fa gas constant is only about one-fifth of air gas constant, reduced rotating speeds of R245fa turbine are only 0.4-fold of those of air turbine, and reduced mass flow rates are about twice of those of air turbine. When using R245fa as working fluid, the nozzle shock wave losses decrease but rotor suction surface separation vortex losses increase, and eventually leads that isentropic efficiencies of R245fa turbine in the commonly used velocity ratio range from 0.5 to 0.9 are 3%\u20134% lower than those of air turbine.<\/jats:p>","DOI":"10.3390\/e19010025","type":"journal-article","created":{"date-parts":[[2017,1,16]],"date-time":"2017-01-16T09:44:02Z","timestamp":1484559842000},"page":"25","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Similarity Theory Based Radial Turbine Performance and Loss Mechanism Comparison between R245fa and Air for Heavy-Duty Diesel Engine Organic Rankine Cycles"],"prefix":"10.3390","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8508-9750","authenticated-orcid":false,"given":"Lei","family":"Zhang","sequence":"first","affiliation":[{"name":"State Key Laboratory of Automotive Safety and Energy, Tsinghua University, Beijing 100084, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weilin","family":"Zhuge","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Automotive Safety and Energy, Tsinghua University, Beijing 100084, China"},{"name":"Collaborative Innovation Center of Electric Vehicles in Beijing, Beijing 100081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yangjun","family":"Zhang","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Automotive Safety and Energy, Tsinghua University, Beijing 100084, China"},{"name":"Collaborative Innovation Center of Electric Vehicles in Beijing, Beijing 100081, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tao","family":"Chen","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Automotive Safety and Energy, Tsinghua University, Beijing 100084, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,1,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"022203","DOI":"10.1115\/1.4005699","article-title":"Energy recovery in passenger cars","volume":"134","author":"Boretti","year":"2012","journal-title":"J. Energy Resour. Technol."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1757","DOI":"10.4271\/2013-24-0094","article-title":"Diesel engine technologies enabling powertrain optimization to meet U.S. greenhouse gas emissions","volume":"6","author":"Stanton","year":"2013","journal-title":"SAE Int. J. Engines"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"5649","DOI":"10.1016\/j.rser.2012.05.018","article-title":"Technologies to recover exhaust heat from internal combustion engines","volume":"16","author":"Saidur","year":"2012","journal-title":"Renew. Sustain. Energy Rev."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1016\/j.energy.2016.09.029","article-title":"Parametric study of a turbocompound diesel engine based on an analytical model","volume":"115","author":"Zhao","year":"2016","journal-title":"Energy"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"014001","DOI":"10.1115\/1.4024882","article-title":"Review of waste heat recovery mechanisms for internal combustion engines","volume":"6","author":"Armstead","year":"2014","journal-title":"J. Therm. Sci. Eng. Appl."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"67","DOI":"10.4271\/2009-01-0174","article-title":"Rankine cycle for waste heat recovery of IC engines","volume":"2","author":"Ringler","year":"2009","journal-title":"SAE Int. J. Engines"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"711","DOI":"10.1016\/j.applthermaleng.2012.10.017","article-title":"Review of organic Rankine cycles for internal combustion engine exhaust waste heat recovery","volume":"51","author":"Sprouse","year":"2013","journal-title":"Appl. Therm. Eng."},{"unstructured":"Gaia, M. (2011, January 22\u201323). 30 Years of ORC Development. Proceedings of the 1st International Seminar on ORC Power Systems (ORC2011), Delft, The Netherlands.","key":"ref_8"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"100801","DOI":"10.1115\/1.4029884","article-title":"Organic Rankine cycle power systems: From the concept to current technology, applications, and an outlook to the future","volume":"137","author":"Colonna","year":"2015","journal-title":"J. Eng. Gas Turbines Power"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1016\/j.rser.2013.03.040","article-title":"A review of working fluid and expander selections for organic Rankine cycle","volume":"24","author":"Bao","year":"2013","journal-title":"Renew. Sustain. Energy Rev."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"168","DOI":"10.1016\/j.rser.2013.01.028","article-title":"Techno-economic survey of Organic Rankine Cycle (ORC) systems","volume":"22","author":"Quoilin","year":"2013","journal-title":"Renew. Sustain. Energy Rev."},{"doi-asserted-by":"crossref","unstructured":"Kang, S.H., and Chung, D.H. (2011, January 6\u201310). Design and Experimental Study of Organic Rankine Cycle (ORC) and Radial Turbine. Proceedings of the ASME 2011 Turbo Expo: Turbine Technical Conference and Exposition, Vancouver, BC, Canada.","key":"ref_12","DOI":"10.1115\/GT2011-46152"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1016\/j.applthermaleng.2012.02.020","article-title":"Model of the expansion process for R245fa in an Organic Rankine Cycle (ORC)","volume":"40","author":"Serrano","year":"2012","journal-title":"Appl. Therm. Eng."},{"doi-asserted-by":"crossref","unstructured":"Wheeler, A.P.S., and Ong, J. (2014, January 16\u201320). A Study of the Three-dimensional Unsteady Real-gas Flows within a Transonic ORC Turbine. Proceedings of the ASME Turbo Expo 2014: Turbine Technical Conference and Exposition, D\u00fcsseldorf, Germany.","key":"ref_14","DOI":"10.1115\/GT2014-25475"},{"doi-asserted-by":"crossref","unstructured":"Dur\u2019a Galiana, F.J., Wheeler, A.P.S., and Ong, J. (2015, January 15\u201319). A Study of Trailing-edge Losses in Organic Rankine Cycle Turbines. Proceedings of the ASME Turbo Expo 2015: Turbine Technical Conference and Exposition, Montr\u00e9al, QC, Canada.","key":"ref_15","DOI":"10.1115\/GT2015-42920"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"282","DOI":"10.2514\/1.29718","article-title":"Real-gas effects in organic Rankine cycle turbine nozzles","volume":"24","author":"Colonna","year":"2008","journal-title":"J. Propuls. Power"},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"054501","DOI":"10.1115\/1.3204505","article-title":"Computational study of a high-expansion ratio radial organic Rankine cycle turbine stator","volume":"132","author":"Harinck","year":"2010","journal-title":"J. Eng. Gas Turbines Power"},{"doi-asserted-by":"crossref","unstructured":"Turunen-Saaresti, T., Tang, J., Buijtenen, J.V., and Larjola, J. (2006, January 8\u201311). Experimental and Numerical Study of Real-Gas Flow in a Supersonic ORC Turbine Nozzle. Proceedings of the ASME Turbo Expo 2006: Power for Land, Sea, and Air, Barcelona, Spain.","key":"ref_18","DOI":"10.1115\/GT2006-91118"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1016\/j.apenergy.2012.02.033","article-title":"Thermo-fluid dynamics preliminary design of turbo-expanders for ORC cycles","volume":"97","author":"Fiaschi","year":"2012","journal-title":"Appl. Energy"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"517","DOI":"10.1016\/j.apenergy.2014.10.052","article-title":"Design and performance prediction of radial ORC turboexpanders","volume":"138","author":"Fiaschi","year":"2015","journal-title":"Appl. Energy"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"729","DOI":"10.1016\/j.apenergy.2015.02.072","article-title":"Design methodology for radial turbo expanders in mobile organic Rankine cycle applications","volume":"157","author":"Costall","year":"2015","journal-title":"Appl. Energy"},{"unstructured":"Japikse, D., and Baines, N.C. (1995). Introduction to Turbomachinery, Concepts NREC.","key":"ref_22"},{"doi-asserted-by":"crossref","unstructured":"Zhang, L., Zhuge, W.L., Zheng, X.Q., and Zhang, Y.J. (2013, January 7\u201311). The Influence of Working Fluid Characteristic Parameters on Turbine Performance for the Small Scale ORC system. Proceedings of the ASME 2013 Fluids Engineering Division Summer Meeting, Incline Village, NE, USA.","key":"ref_23","DOI":"10.1115\/FEDSM2013-16348"},{"doi-asserted-by":"crossref","unstructured":"Chen, T., Zhuge, W.L., Zhang, L., and Zhang, Y.J. (2015, January 26\u201331). Similarity based performance prediction of organic rankine cycle turbine using air condition data. Proceedings of the ASME-JSME-KSME 2015 Joint Fluids Engineering Conference, Seoul, Korea.","key":"ref_24","DOI":"10.1115\/AJKFluids2015-09097"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"122606","DOI":"10.1115\/1.4030836","article-title":"The application of similitude theory for the performance prediction of radial turbines within small-scale low-temperature organic Rankine cycles","volume":"137","author":"White","year":"2015","journal-title":"J. Eng. Gas Turbines Power"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"061701","DOI":"10.1115\/1.4031641","article-title":"Scaling of gas turbine from air to refrigerants for organic rankine cycle using similarity concept","volume":"138","author":"Wong","year":"2015","journal-title":"J. Eng. Gas Turbines Power"},{"unstructured":"Calm, J.M., and Hourahan, G.C. (2011, January 21\u201326). Physical, Safety, and Environmental Data for Current and Alternative Refrigerants. Proceedings of the 23rd International Congress of Refrigeration, Prague, Czech Republic.","key":"ref_27"},{"doi-asserted-by":"crossref","unstructured":"Teng, H., Regner, G., and Cowland, C. (2007). Waste Heat Recovery of Heavy-Duty Diesel Engines by Organic Rankine Cycle Part II: Working Fluids for WHR-ORC, SAE World Congress & Exhibition. SAE Technical Paper 2007-01-0543.","key":"ref_28","DOI":"10.4271\/2007-01-0543"},{"unstructured":"Mousapha, H., Zelesky, M.F., Banies, N.C., and Japikse, D. (2003). Axial and Radial Turbines, Concepts NREC.","key":"ref_29"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"718","DOI":"10.1115\/1.3230794","article-title":"Efficiency prediction for axial-flow turbines operating with nonconventional fluids","volume":"103","author":"Macchi","year":"1981","journal-title":"J. Eng. Power"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"785","DOI":"10.1021\/je050186n","article-title":"Short fundamental equations of state for 20 industrial fluids","volume":"51","author":"Lemmon","year":"2006","journal-title":"J. Chem. Eng. Data"},{"doi-asserted-by":"crossref","unstructured":"Denton, J.D. (2010, January 14\u201318). Some limitations of turbomachinery CFD. Proceedings of the ASME Turbo Expo 2010: Power for Land, Sea, and Air, Glasgow, UK.","key":"ref_32","DOI":"10.1115\/GT2010-22540"},{"doi-asserted-by":"crossref","unstructured":"Harrison, K.L., and Bogard, D.G. (2008, January 9\u201313). Use of the adiabatic wall temperature in film cooling to predict wall heat flux and temperature. Proceedings of the ASME Turbo Expo 2008: Power for Land, Sea, and Air, Berlin, Germany.","key":"ref_33","DOI":"10.1115\/GT2008-51424"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"514","DOI":"10.1016\/j.energy.2012.02.035","article-title":"Design and experimental study of ORC (organic Rankine cycle) and radial turbine using R245fa working fluid","volume":"41","author":"Kang","year":"2012","journal-title":"Energy"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"621","DOI":"10.1115\/1.2929299","article-title":"Loss mechanisms in turbomachines","volume":"115","author":"Denton","year":"1993","journal-title":"J. Turbomach."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"492","DOI":"10.1115\/1.2182000","article-title":"Improving the Performance of a Turbine with Low Aspect Ratio Stators by Aft-Loading","volume":"128","author":"Pullan","year":"2006","journal-title":"J. Turbomach."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.ijheatfluidflow.2011.10.001","article-title":"An audit of aerodynamic loss in a double entry turbine under full and partial admission","volume":"33","author":"Newton","year":"2012","journal-title":"Int. J. Heat Fluid Flow"},{"doi-asserted-by":"crossref","unstructured":"Greitzer, E.M., Tan, C.S., and Graf, M.B. (2004). Internal Flow: Concepts and Applications, Cambridge University Press.","key":"ref_38","DOI":"10.1017\/CBO9780511616709"},{"doi-asserted-by":"crossref","unstructured":"Moore, J., and Moore, J.G. (1983, January 27\u201331). Entropy production rates from viscous flow calculations Part I\u2014A turbulent boundary layer flow. Proceedings of the ASME 1983 International Gas Turbine Conference and Exhibit, Phoenix, AZ, USA.","key":"ref_39","DOI":"10.1115\/83-GT-70"},{"doi-asserted-by":"crossref","unstructured":"Moore, J., and Moore, J.G. (1983, January 27\u201331). Entropy production rates from viscous flow calculations Part II\u2014Flow in a rectangular elbow. Proceedings of the ASME 1983 International Gas Turbine Conference and Exhibit, Phoenix, AZ, USA.","key":"ref_40","DOI":"10.1115\/83-GT-71"}],"container-title":["Entropy"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1099-4300\/19\/1\/25\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:26:13Z","timestamp":1760207173000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1099-4300\/19\/1\/25"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1,14]]},"references-count":40,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2017,1]]}},"alternative-id":["e19010025"],"URL":"https:\/\/doi.org\/10.3390\/e19010025","relation":{},"ISSN":["1099-4300"],"issn-type":[{"type":"electronic","value":"1099-4300"}],"subject":[],"published":{"date-parts":[[2017,1,14]]}}}