# mathematical modeling equations of gas turbine engines

Posted in BooksMathematical Model of the Gas Turbine Engine Disk for Controlling …

To construct a mathematical model of the disk of the gas turbine engine, we first approximate its differential heat-conduction equation by the system of … http://www.springerlink.com/index/052253M24G1J8546.pdf

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Investigation of nonlinear numerical mathematical model of a …

Key Words:Nonlinear, Numerical Mathematical Modeling, Gas Turbine, Performance, …. The finite difference analog of this equation in an …… 50kW Turbogenerator Gas Turbine Engine,”. 98-GT-209, ASME TurboExpo 1998. … http://www.springerlink.com/index/D5L5007611T661M4.pdf

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Mathematical Modeling of Gas Turbine Blade Cooling

KeywordsÃƒÂ¢Ã¢â€šÂ¬Ã¢â‚¬ÂMathematical Modeling, Gas Turbine Blade. Cooling, Neural Networks, BIEM and FDM. NOMENCLATURE … The development of aviation gas turbine engines (AGTE) at …… If the equation of the cooled gas-turbine blades profile is … http://www.waset.org/journals/ijamcs/v4/v4-4-37.pdf

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Identification of Aircraft Gas Turbine Engine’s Temperature Condition

mathematical models described by the regression equations … 1 Flow chart of aircraft gas turbine engine fuzzy-parametric diagnostic algorithm. World Academy of Science, ….. mathematical model and the priory information concerning … http://www.waset.org/journals/waset/v36/v36-3.pdf

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Stationary Gas Turbines ÃƒÂ¢Ã¢â€šÂ¬Ã¢â‚¬Å“ A Real Time Dynamic Model with …

differential and algebraic equations, and availability of system parameters. ….. cycle turbine engine, a generator with accessories, and …. A dynamic mathematical model representing a. Mercury 50 gas turbine has been developed and … http://ieeexplore.ieee.org/iel5/11005/34689/01656487.pdf

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Dynamic simulation of gas-turbine generating unit – Generation …

The basic linearised gas-turbine model equations rela- ting to the gas-turbine variables derived in Reference 1 …. their mathematical derivations are given in Reference 1 …. the load rejection, the gas-turbine engine was operating … http://ieeexplore.ieee.org/iel1/2205/2594/00079354.pdf?arnumber=79354

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Modelling and Nonlinear Control of a Low-power Gas Turbine (Theses)

by K Hangos – Related articles http://daedalus.scl.sztaki.hu/pdf/thesis/AP_thesis.pdf

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Engineering an afterburner for a miniature gas turbine engine

afterburner thrust augmentation system for a model aircraft gas turbine engine. …. All mathematical modelling and design of the afterburner unit …. a derivation of the Bernoulli equation specifically for … http://www.emeraldinsight.com/Insight/html/Output/Published/EmeraldFullTextArticle/Pdf/1270770201.pdf

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Articles Optimal design and control of gas-turbine engine …

controllable gas turbine engines for a fixed set x d of design parameters provides a number of …. how adequate the mathematical model of the system is. … http://www.emeraldinsight.com/Insight/html/Output/Published/EmeraldFullTextArticle/Pdf/1270690602.pdf

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Mathematical modelling of turbulent combustion for gas turbines

Keywords: mathematical modelling, turbulent combustion, gas turbines. 1 INTRODUCTION …. internal combustion engines. Nevertheless, the method ….. equations for the probability density function of turbulent scalar fields. … http://pep.metapress.com/index/FJ6252534211QQGN.pdf

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Dynamic modelling of recuperative gas turbines

Abstract: This paper describes the mathematical model and the computational procedure adopted for ….. equation (11) is applied considering, instead of the gas ….. 16 McLaughlin, P. Gas turbine engine transient behaviourÃƒÂ¢Ã¢â€šÂ¬Ã¢â‚¬Â … http://pep.metapress.com/index/7V1583J23T66P150.pdf

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Performance and optimization of gas turbines with real gas effects

Keywords: gas turbine, internal combustion engine, aero engine, shaft power, optimization, optimum …. actual mathematical operation has not been carried out previously. …. of the perfect gas model, equation (2), and numerical … http://journals.pepublishing.com/index/PH7044176745M722.pdf

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Analysis of the dynamic behaviour of regenerative gas turbines

The mathematical model of each component consisted of unsteady one-dimensional governing equations and steady state ….. turbine module (the above-discussed physical equation ….. turbine engines. Trans. ASME, J. Engng Gas Turbines … http://journals.pepublishing.com/index/F071T71U3000332T.pdf

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Gas Turbine Engine Performance Model Applications Using an Object …

by A Alexiou – Cited by 6 http://www.vivaceproject.com/content/engine/sp2_asme_turbo_2006_alexiou.pdf

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DEVELOPMENT OF A TURBOFAN PERFORMANCE MODEL USING A GENERIC …

by A Alexiou – Cited by 1 http://www.vivaceproject.com/content/engine/ntua-ecp.pdf

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OPTIMIZATION OF THE GAS TURBINE ENGINE PARTS USING METHODS OF …

optimal point using the mathematical model of the system under consideration. Algorithms of IOSO NM have good … modern gas-turbine engine performance. … http://www.iosotech.com/files/application/mutistage-compressor-optimization.pdf

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Automated Health Management for Gas Turbine Engine Accessory …

Equation (7) above provides a basis for applying model- based PHM on the gear pump system. Page 5. 5. This mathematical model uses the control command signal ….. extended to a variety of gas turbine engine fluid systems, … http://www.impact-tek.com/Resources/TechnicalPublicationPDFs/Aerospace/Impact_AAC_AutomatedGasTurbineEngineAccessorySystem.pdf

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Mathematical Model of Turbojet Engine Combustion Chamber Primary Zone

by N DavidoviÃƒâ€žÃ¢â‚¬Â¡ – 2007 – Related articles http://www.mas.bg.ac.rs/istrazivanje/biblioteka/publikacije/Transactions_FME/Volume35/1/5. Nikola Davidovic 29-34.pdf

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Optimal multi-variable control of gas turbine engines

This paper focuses on the practical problems of gas turbine engine local-optimal multi- …. in the form of a system of differential matrix equations. …. mathematical model of the plant. Their values reflect … http://www.informaworld.com/index/713766501.pdf

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Modeling and Experimental Study of Operation Process in a Gas …

A wide range of operation loads characterizes modern gas turbine engines. …. Making up the mathematical model of gas turbine combustor with a … model solves equations for the conservation of radiation intensity in each … http://www.informaworld.com/index/776723648.pdf

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Contextual Normalization Applied to Aircraft Gas Turbine Engine …

by P Turney – 1993 – Cited by 19 http://cogprints.org/1864/0/Turbine.pdf

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References

by CG Rodriguez – 1997 – Cited by 3 http://scholar.lib.vt.edu/theses/public/etd-7197-151428/materials/refs.PDF

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An Integrated PHM Approach for Gas Turbine Engines

by AR Patnaik – Cited by 2 http://www.tecsis.ca/services/4.PHM.pdf

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Development of Gas Turbine Performance Models Using a Generic …

by A Alexiou – Cited by 5 http://www.ltt.ntua.gr/paperfull/GT2005-68678.pdf

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GAS TURBINE COMBUSTION MODELING FOR A PARAMETRIC EMISSIONS …

variety of gas turbine engines is desired. In order to build up such a PEMS …… that the four equations are limited to the gas turbine model, …… mathematical model, able to predict the emissions within 2 ÃƒÂ¢Ã¢â€šÂ¬Ã¢â‚¬Å“ 3 ppm at full load. … http://krex.k-state.edu/dspace/bitstream/2097/371/1/UeliHonegger2007.pdf

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Literature Review:

by KS Chapman – Cited by 7 http://www.netl.doe.gov/technologies/oil-gas/publications/Status_Assessments/kent state tech assess aug2002.pdf

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A NEW APPROACH TO GPA-SYSTEM FOR GAS TURBINE ENGINES

solution of the systems of linear algebraic equations, representing the engine mathematical model, but on the probability analysis of these systems. This approach to the engine … Although gas turbine engines are tough and reliable … http://pdf.aiaa.org/preview/CDReadyMJPC2003_775/PV2003_4986.pdf

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TURBINE BLADE COOLING SIMULATION IN THE GAS TURBINE ENGINE …

equations. The model permits the use of turbine … injected into the main turbine flow. Mathematical modeling of the heat transfer in … development program of the transient gas turbine engine simulation code GETRAN [1,2]. Previous … http://pdf.aiaa.org/preview/CDReadyMASM03_582/PV2003_1214.pdf

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Mathematical modelling and design of an advanced once-through heat …

by MN Dumont – 2004 – Cited by 12 http://www.lassc.ulg.ac.be/bibli/dumont-2004-1.pdf

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Phd project description: Computational modeling of non …

by B Lilleberg – Related articles http://www.ivt.ntnu.no/docs/phd/PhD_projectdescr.pdf

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NONLINEAR MODEL-BUILDING OF A LOW-POWER GAS TURBINE

by P AILER – Cited by 18 http://www.pp.bme.hu/tr/2001_1/pdf/tr2001_1_10.pdf

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DEVELOPMENT OF MATHEMATICAL

The mathematical model of the engine represents equations of values of a ….. [1] Cherkez A. (1975) The engineering computing of gas turbine using the … http://www.tsi.lv/RSR/vol03/RSR1999v03-24.pdf

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Prognosis of Faults in Gas Turbine Engines

by T Brotherton – Cited by 34 http://web.iac-online.com/images/Publications/38.pdf

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Advanced Capabilities for Gas Turbine Engine Performance Simulations

by NL Ruimtevaartlaboratorium – Related articles http://www.nlr.nl/id~8486/l~en.pdf

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Ten Years of Experience With a Small Jet Engine as a Support for …

by O LÃƒÆ’Ã‚Â©onard – 2009 – Related articles http://www.turbinetechnologies.com/minilab/Technical Papers/UniversityLiege.pdf

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Targeted Collaboration on Gas Turbine Combustion: Turbulent Lean …

Mathematical Modelling. Computational Framework … G-Equation SFS Model. Concluding Remarks. Groth and GÃƒÆ’Ã‚Â¼lder. Gas Turbine Combustion: Turbulent Lean … http://ieacombustion.com/Documents/Area 4- Canada- Groth.pdf

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Detection and Prediction of the Performance Deterioration of a …

by L MARINAI – Cited by 1 http://nippon.zaidan.info/seikabutsu/2003/00916/pdf/igtc2003tokyo_ts005.pdf

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Power Plant Controls for Aero Gas Turbine Engines

state and transient performance of aero gas turbine engines in a general ….. in his paper an approach for developing a mathematical model for the per- … http://ftp.rta.nato.int/public//PubFullText/AGARD/AR/AGARD-AR-80///AGARD-AR-80.pdf

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Energy and Exergy Analysis of Brayton-Diesel Cycle

Mathematical modeling of Brayton-diesel cycle has been done at component level. …. where ‘cooled’ and ‘uncooled’ in the equation represent rows of …. engine has the exergy of about 52.4% while gas turbine … http://www.iaeng.org/publication/WCE2009/WCE2009_pp1580-1585.pdf

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Modeling and Simulating of Container Ship’s Main Diesel Engine

manifold, exhaust gas turbine, fuel injection and electronic governor etc. The approach adopted here is to … gas temperature, by the corresponding mathematical equations. … regression), whole engine system modeling and simulating, … http://www.iaeng.org/publication/IMECS2008/IMECS2008_pp1980-1983.pdf

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Computational study of a micro-turbine engine combustor using …

– All 2 versions http://www.jmprecision.co.uk/media/338-1751-2-PB.pdf

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Small Turbojet Engine MPM 20 ÃƒÂ¢Ã¢â€šÂ¬Ã¢â‚¬Å“ Simulations and Modeling

by R Andoga – Related articles http://bmf.hu/conferences/cinti2008/24_cinti2008_submission.pdf

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Vestnik USATU Vol 10, No 1 (26)

mation of running aircraft gas turbine engine, which is based on transitional and semi-permanent process // Vest … In work the mathematical model of separation of gas in …. and conical shells equations on the base of asymptotic syn- … http://www.ugatu.ac.ru/publish/vu/stat/UGATU-2008-1(26)/33.pdf

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Computational modular model library of gas turbine

During the simulation, the engine’s mathematical model ….. [1] Xie Z, Su M, Weng S. Extensible object model for gas turbine engine simulation [J]. … http://220.231.93.23:8000/collect/EN-advances/index/assoc/HASH01b6/632b2afa.dir/doc.pdf

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Gas Turbine Design and Off-Design Simulation

by A LAZZARETTO – 2001 – Cited by 6 http://www.icatweb.org/vol4/4.4/6-lazzaret020201.pdf

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Mathematical Modeling of Gas-solid Flow in Turbine Reactor

by Y Sun – 2007 – Related articles http://dspace.library.cornell.edu:8080/bitstream/1813/10643/1/FP 06 006 Lin final 14Feb2007.pdf

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Development and Validation of a Civil Aircraft Engine Simulation …

by S Martin – Cited by 1 http://www.le.ac.uk/eg/dgb3/ASME.pdf

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Experimental and Theoretical Study of Microturbine-Based BCHP System*

by PD Fairchild – 2001 – Cited by 11 http://www.ornl.gov/~webworks/cppr/y2001/pres/111290.pdf

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THEORETICAL ANALYSIS OF AIR CONDITIONING BY EVAPORATIVE COOLING …

compressor and the turbine, and (ii) application of a mathematical model, …. rate in the water vapor state, can be expressed by an equation analogous to ….. Najjar, Y.S.H., ÃƒÂ¢Ã¢â€šÂ¬Ã…â€œEnhancement of Performance of Gas Turbine Engines by Inlet … http://www.laar.unb.br/Publicacoes_LaAR_arquivos/COBEM2005-1539.pdf

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Infrared thermography as applied to film cooling of gas turbine …

ducting components of gas turbine engines based on a very detailed analysis of according surface temperatures. …. The system of three non-linear equations for R, B and F …. mathematical model describing the cooling contributions is … http://www.iop.org/EJ/article/0957-0233/11/7/311/e00711.pdf