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OHRID.SEPTEMBER. 25.2A,2002 MATHEMATICAL MODEL F'OR PREDICTION OF SINGLE-SPOOLTURBOJET ENGINE OFF-DESIGN PERFORMANCE Anita Domitrovidr, Ernest Bazijanacr, Vjekoslav StojkoviizSummaryThis paper analyses off-design performance of a turbojet engine. A mathematical modelfor calculation of single-spool turbojet engine off-design performance was developed.The model is based on the known on-design characteristic of the engine which is designfor UAV (Unmanned Aerial Vehicle). Calculation results for a range of flight parametersand various throttle settings are presented for the known turbojet engine. The obtainedoff-design characteristics can be used for the prediction of engine performance in itsfuture operation and for modeling the engine controls.Keywords: off-design performance, single spool turbojet enginel. IntroductionDesign of turbojet engine components is based on parametric cycle analysis (also calleddesign-point or on-design). According to that, engine thrust, mass flow of air, specificfuel consumption, compressor pressure ratio etc. are called design parameters. During itsservice a turbojet engine is expected to work at various flight conditions and throttlesettings. To ascertain critical operation regimes of an engine, optimize its design andplan prototype tests, it is important to predict its off-design performance.In today's turbojet engine industry off-design performance analysis is an industrial stan-dard. Mathematical model for calculation of single-spool turbojet engine off-design per-formance presented in this paper is based on results of design-point study of a knownturbojet engine, as well as on certain assumptions. r Faculty of Transport and l'raffic Engineering, Vukeliieva 4, 10000 Zagreb, Croatia2 Institute for Defence Studies, Research and Development, Bijenidka 46, 10000 Zagreb, Croatia 511 endstream endobj 7 0 obj 2198 endobj 8 0 obj << /Length 27 >> stream % CANON_PFINF_TYPE0_TEXTON endstream endobj 9 0 obj << /Length 44 >> stream q 612.48 0 0 841.92 0.00 0.00 cm /Obj2 Do Q endstream endobj 10 0 obj << /Type /Page /MediaBox [ 0 0 612.48 841.92 ] /Parent 11 0 R /Resources << /Font << /F3 5 0 R >> /XObject << /Obj2 2 0 R >> /Subtype 6 0 R /ProcSet [ /PDF /Text /ImageB /ImageC /ImageI ] >> /Contents [ 8 0 R 9 0 R 3 0 R ] >> endobj 13 0 obj << /Type /XObject /Subtype /Image /Width 2552 /Height 3508 /BitsPerComponent 1 /ColorSpace /DeviceGray /Filter /CCITTFaxDecode /DecodeParms << /K -1 /Columns 2552 >> /Length 46530 >> stream <,þ쏕XX.wh%[2#@„`0!"B 9MjȮdI"[޾ ;h''ZMmv֓G[uK^}GDZ]}z-N2A3" 9Fq8R:9?3#3dldB ! 0=Cn! =OZAt]kNA]Ѳ}"մމƵ﫤 m_t6 zNwMW?O[z zG1!wzTnwuⷷ7 Kүa[ᮠh c z[b o_t^?_УUiJϣ? 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1 121.44 119.76 Tm <353132> Tj ET endstream endobj 15 0 obj 15178 endobj 16 0 obj << /Length 17 0 R >> stream 2. Basis of a Design-Point StudyOn-design analysis of a turbojet engine usually includes certain criteria, e.g. high spe-cific thrust, low engine weight, certain flight speed, low specific fuel consumption, lim-ited turbine inlet temperature etc. Those criteria are mostly based on the aircraft mission,i.e. flight profile in its future operation.This paper analyses off-design performance of a known single-spool turbojet enginewhich could, considering its small dimensions and low thrust, be used as a power plantfor unmanned aerial vehicles. Thermodynamical cycle calculation of the engine wasused as the input for its off-design performance prediction.Notation and station numbering applied in this paper are in accordance with ARP(Aerospace Recommended Practice) [] and are related to single-spool turbojet enginewithout afterburning (Fig. l). 43jr**ltt _\ **-*-t* Figure I. Notation and station numberingfor a single-spool turbojet engine.Starting point for the engine development was a request to achieve static thrust ofFr- 1400 N with maximum turbine inlet temperature of Tt4: 1300 K. Centrifugal com-pressor with compressor pressure ratio of n = 4 is selected. Predicted aircraft speed isvo=220 m./s, but design-point study was performed for static conditions, i.e. vo =9.During off-design performance analysis aircraft speed was taken into account.It is customary - although not a rule - to use ISA/SL (International Standard Atmos-phere at sea level) [2] as input values, and perform on-design calculations at static condi-tions. Such a definition of design point is called static sea level and was applied in ourcalculations: p6: 1,0 13x105 Pa To:288 KMo- 0 It is also necessary to define certain constants and parameters that are estimated or calcu-lated, and are characteristic to engine components and fuel. These are: isenhopic effi-ciencies of compressor, turbine, inlet and nozzlq. burner efficiency; bumer pressure loss;mechanical efficiency; specific heat of air and exhaust gas; gas constants of air and ex-haust gas; specific heat ratios ofboth air and exhaust gas. 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