Numerical Analysis of Working Processes in the Blade Channels of the Highly-Loaded Turbine of a Marine Gas Turbine Engine, Using a Refined Finite Element Model

Journal Journal of Mechanical Engineering – Problemy Mashynobuduvannia
Publisher A. Podgorny Institute for Mechanical Engineering Problems
National Academy of Science of Ukraine
ISSN 0131-2928 (Print), 2411-0779 (Online)
Issue Vol. 22, no. 3, 2019 (September)
Pages 14-20
Cited by J. of Mech. Eng., 2019, vol. 22, no. 3, pp. 14-20



Serhii O. Morhun, Admiral Makarov National University of Shipbuilding (9, Heroyiv Ukrayiny Ave., Mykolaiv, 54025, Ukraine), e-mail:, ORCID: 0000-0003-2881-7541



Issues of designing a single-stage high-loaded turbine of a marine gas turbine engine are considered. The object of our research is the aerodynamic characteristics of a viscous three-dimensional turbulent gas stream flow in the flow path of the turbine under consideration. At this stage, a numerical analysis of working processes in the blade passages of the turbine stage has been carried out. When designing the turbine, it is necessary to take into account the fact that the possibilities of improving the flow path shape by optimizing the shapes of blade passages in plane sections do not meet the requirements for high-loaded turbines. An alternative to this approach is the use of computational gas-dynamic methods in a three-dimensional formulation. Therefore, this paper outlines a method for constructing a refined finite element model of the working fluid flow in the flow path of the single-stage high-loaded high-pressure turbine of a marine gas turbine engine. To solve this problem, a finite-element hexagonal-type mesh was constructed using the three-dimensional Navier-Stokes equations for the case of viscous working fluid flow. The three-dimensional model of the turbine flow path presented in this paper consists of two stator sections and four rotor sections. Each section includes a blade airfoil with upper and lower contours, which simply model the root and shroud shelves. In the course of calculations, such types of boundary conditions as “entrance”, “exit” and “wall” were used. At the entrance, the total flow pressure and flow temperature were given. Since the turbine is single-stage, then at the entrance to the computational domain, the flow is directed axially. At the exit from the computational domain, the static pressure was given. On the wall, both the non-slip and slip boundary conditions were also used. Using the developed mathematical model, the fields of Mach numbers, flow velocities, and static pressure in the root and peripheral sections of the turbine flow path are determined. The calculation was carried out in a non-stationary setting with a time step of 1.5974×10-6 s, which corresponds to the angle of rotor rotation, relative to the stator, of 0.09 degrees. The total number of time iterations was 200. The results obtained can be applied to further study the strength of the blading of highly-loaded marine gas turbine engines.


Keywords: marine gas turbine engine, three-dimensional finite elements, turbine flow path, root and peripheral sections, fields of Mach numbers, flow velocities and pressure.


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  1. Kholshchevikov, K. V., Yemin, O. N., & Mitrokhin V. T. (1986). Teoriya i raschet aviatsionnykh lopatochnykh mashin [Theory and calculation of aircraft blade machines]. Moscow: Mashinostroyeniye, 432 p. (in Russian).
  2. Rizk N. K. & Mongia, H. C. (1990). Three-dimensional combustor performance validation with high-density fuels. Journal of Propulsion and Power, vol. 6, no. 5, pp. 660−667.
  3. Menter F. R. (1994). Two-equation eddy-viscosity turbulence models for engineering applications. AIAA Journal, vol. 32, no. 8, pp. 1598−1605.
  4. Takemilsu, N. (1990). An analytical study of the standard k-e model. Journal of Fluid Engineering, vol. 112, iss. 2, pp. 192–198.
  5. Ivanov, M. Ya. & Krupa, V. G. (1993). Computation of 3D viscous cascade flow. Fluid Dynamics, vol. 28, iss. 4, pp. 476–484.
  6. Shang, T. & Epstein, A. H. (1997). Analysis of hot streak effects on turbine rotor heat load. ASME Journal of Turbomachinery, vol. 119, iss. 3, pp. 544−553.
  7. Samarskiy, A. A. & Vabitsiyevich, P. N. (2009). Vychislitelnaya teploperedacha [Computational heat transfer]. Moscow: Editorial, 784 p. (in Russian).
  8. Sosunov, V. A. & Chepkin, V. M. (2003). Teoriya, raschet i proyektirovaniye aviatsionnykh dvigateley i energeticheskikh ustanovok [Theory, calculation and design of aircraft engines and power plants]. Moscow: Moscow Power Engineering University Publ., 677 p. (in Russian).
  9. Lecheler, S. (2014). Numerische stromungsberechnung [Numerical current calculations]. Munich: Springer Fachmedien Wiesbaden, 199 p. (in German).
  10. Launder, B .E. & Spalding, D. B. (1994). The numerical computation of turbulent flows. Computational Methods of Applied Mechanics Engineering, vol. 3, iss. 2, pp. 269−289.


Received: 06 May 2019

Published 30 September 2019