Numerical Modeling of Gas Turbine Engines

In contrast to existing methods which do not take into account multiconnectivity in a broad sense of this term, we develop mathematical models and highly effective combination (BIEM and FDM) numerical methods of calculation of stationary and quasi-stationary temperature field of a profile part of a blade with convective cooling (from the point of view of realization on PC). The theoretical substantiation of these methods is proved by appropriate theorems. For it, converging quadrature processes have been developed and the estimations of errors in the terms of A.Ziqmound continuity modules have been received. For visualization of profiles are used: the method of the least squares with automatic conjecture, device spline, smooth replenishment and neural nets. Boundary conditions of heat exchange are determined from the solution of the corresponding integral equations and empirical relationships. The reliability of designed methods is proved by calculation and experimental investigations heat and hydraulic characteristics of the gas turbine first stage nozzle blade.

• A. Pashayev
• D. Askerov
• C. Ardil
• R. Sadiqov

• Multiconnected systems
• method of the boundary integrated equations
• splines
• neural networks.

[1] Pashaev A.M., Sadykhov R.A., Iskenderov M.G., Samedov A.S.,
Sadykhov A.H. The Efficiency of Potential Theory Method for Solving
of the Tasks of Aircraft And Rocket Design. 10th National Mechanic
Conference. Istanbul Technical University, Aeronautics and
astronautics faculty, Istanbul, Turkey, July, 1997, p. 61-62.
[2] R.A. Sadigov, A. S. Samedov, Modelling of temperature fields of gas
turbines elements. Scientists of a slip ðÉzTU, Baku, 1998, Vol.VI, Ôäû
5, p.234-239.
[3] Pashaev A. M., Sadykhov R. A., Samedov A.S. Highly Effective
Methods of Calculation Temperature Fields of Blades of Gas
Turbines. V International Symposium an Aeronautical Sciences "New
Aviation Technologies of the XXI Century", A collection of technical
papers, section N3, Zhukovsky, Russia, August, 1999.
[4] L.N. Zisina-Molojen and etc., Heat Exchange in Turbo Machines. M.,
1974
[5] G. Galicheiskiy, A Thermal Guard of Blades, ð£., ð£ðÉI, 1996.
[6] A.M.Pashaev, R.A.Sadiqov, C.M.Hajiev, The BEM Application in
development of Effective Cooling Schemes of Gas Turbine Blades. 6th
Bienial Conference on Engineering Systems Design and Analysis,
Istanbul, Turkey, July, 8-11, 2002.
[7] Abasov M.T., Sadiqov A.H., Aliyarov R.Y. Fuzzy Neural Networks in
the System of Oil and Gas Geology and Geophysics // Third
International Conference on Application of Fuzzy Systems and Soft
computing/ Wiesbaden, Germany, 1998,- p.108-117.
[8] Yager R.R., Zadeh L.A. (Eds). Fuzzy Sets, Neural Networks and Soft
Computing. VAN Nostrand Reinhold. N.-Y. - Ôäû 4, 1994.
[9] Mohamad H. Hassoun. Fundamentals of Artificial Neutral Networks /
A Bradford Book. The MIT press Cambridge, Massachusetts, London,
England, 1995.
[10] Pashaev A. M., Sadykhov R. A., Samedov A.S., Mamedov R.N. The
Solution of Fluid Dynamics Direct Problem of Turbo Machines
Cascades with Integral Equations Method. Proceed. NAA. Vol. 3,
Baku, 2003.
[11] V.S. Beknev, V.M. Epifanov, A.I. Leontyev, M.I. Osipov and ets.
Fluid Dynamics. A Mechanics of a Fluid and Gas. Moscow, MGTU
nam. N.E. Bauman, 1997, 671 p.
[12] S.Z. Kopelev, A.F. Slitenko Construction and calculation of GTE
cooling systems. Kharkov, "Osnova", 1994, 240 p.
[13] L.V. Arseniev, I. B. Mitryayev, N. P. Sokolov The Flat Channels
Hydraulic Resistances with a System of Jets in a Main Stream.
"Energetika", 1985, Ôäû 5, p.85-89.