Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-05T01:39:17.075Z Has data issue: false hasContentIssue false
  • English
  • Français

Numerical Studies of the Passage Flowfield in a 3-D Transonic Turbine Blade Cascade

Published online by Cambridge University Press:  05 May 2011

Chang-Hsien Tai ,
Ding-San Wang ,
Ping-Hei Chen ,
Uzu-Kuei Hsu  and
Jr-Ming Miao
Chang-Hsien Tai*
Affiliation:
Vehicles Engineering Department, National Pingtung University of Science and Technology, Neipu Shiang 912, Pingtung, Taiwan, R.O.C.
Ding-San Wang*
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
Ping-Hei Chen*
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
Uzu-Kuei Hsu*
Affiliation:
Department of Aircraft and Turbine, Air Force Aeronautical and Technical School, Gangshan, Kaohsiung, Taiwan 820, R.O.C.
Jr-Ming Miao*
Affiliation:
Numerical Simulation Lab., Chung Cheng Institute of Technology, National Defense University, Dashi Jen, Taoyuan, Taiwan 335, R.O.C.
*
*Professor
***Candidate Ph.D.
*Professor
****Drillmaster
**Associate Professor
Get access

Abstract

A three-dimensional Navior-Stokes analyzer based on control volume method is developed to simulate the complex flow field within a turbomachinery. With VKI-CT2 turbine blade as the test model, numerical results are compared with experimented data and shows the existence of separation-transition bubble and the interaction of shock with turbulent boundary layer flow. The governing Navier-Stokes equations are solved by an improved numerical method that uses an upwind flux-difference split scheme for spatial descretization and an explicit optimally smoothing multi-stage scheme for time integration. Turbulent stresses are approximated by modifying Baldwin-Lomax algebraic, k-ε, R-k-ε and RNG k-ε turbulence models. According to the results of this research, this analyzer can indeed effectively modulate and simulate the aerodynamic characteristic of the transonic turbine rotor near the endwall.

Keywords

Transonic rotorsSeparation bubbleVortexEndwallCFD
Type
Articles
Information
Journal of Mechanics , Volume 17 , Issue 4 , December 2001 , pp. 221 - 231
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Simoneau, R. J. and Simon, F. F., “Progress Towards Understanding and Predicting Heat Transfer in the Turbine Gas Path,” Int. J. Heat and Fluid Flow, 14(2), pp. 106–128 (1993).Google Scholar
2Boyle, R. J. and Simon, F. F., “Mach Number Effects on Turbine Blade Transition Length Prediction,” ASME Paper, 98-GT-367 (1998).CrossRefGoogle Scholar
3Mayle, R. E, “The Role of Laminar-Turbulent Transition in Gas Turbine Engines,” J. of Turbomachinery, 113, pp. 509–537 (1991).Google Scholar
4Lakshminarayana, B., “Turbulence Modeling for Complex Shear Flow,” AIAA J., 24(12), pp. 1900–1917 (1986).Google Scholar
5Leschziner, M. A., “Computation of Aerodynamic Flows Turbulence-Transport Models Based on 2-Moment Closure,” Computers Fluids, 24(4), pp. 377–392 (1995).CrossRefGoogle Scholar
6Larsson, J., “Turbine Blade Heat Transfer Calculations Using Two-Equation Turbulence Models,” Proc. Instn. Engrs., 211(A), pp. 253–262, A01897 (1997).Google Scholar
7Degani, D. and Schiff, L. B., “Computation of Supersonic Viscous Flows Around Pointed Bodies at Large incidence,” AIAA Paper 83-0034 (1983).Google Scholar
8Launder, B. E. and Sharma, B. I., “Application of the Energy Dissipation Model of Turbulence to the Calculation of Flow Near a Spinning Disc,” Letter in Heat and Mass Transfer, 1(2), pp. 131–138 (1974).Google Scholar
9Yakhot, V., Orszag, S. A., Thangam, S., Gatski, T. B. and Speziale, C. G., “Development of Turbulence Models for Shear Flow by a Double Expansion Technique,” Phys. Fluids A, 4(7), pp. 1510–1520 (1992).CrossRefGoogle Scholar
10Goldberg, U. C., “Exploring a Three-Equation R-к-ε Turbulence Model,” J. of Fluids Engineering, 118, pp. 795–799 (1996).Google Scholar
11Tannehill, J. C., Anderson, D. A. and Pletcher, R. H., “Computational Fluid Mechanics and Heat Transfer,” Taylor & Francis Group, Chap. 5 (1997).Google Scholar
12Wilcox, D. C., “Comparison of Two-Equation Turbulence Models for Boundary Layers with Pressure Gradient,” J of AIAA, 31(8), pp. 1414–1421 (1993).Google Scholar
13Roe, P. L., “Approximate Riemann Solvers, Parameter Vector, and Difference Schemes,” Journal of Computational Physics, 43, pp. 357–372 (1981).Google Scholar
14Tai, C. H., Sheu, J. H. and van Leer, B., “Optimally Multi-Stage Schemes for the Euler Equations with Residual Smoothing,” Journal of AIAA, 33(6), pp. 1008–1016 (1995).Google Scholar
15van Leer, B., Thomas, J. L., Roe, P. L. and Newsome, R. W., “A Comparison of Numerical Flux Formulas for the Euler and Navier-Stokes Equations,” AIAA Paper 87-1104-cp, pp. 36–39 (1987).Google Scholar
16Hirsch, C., Numerical Computation of Internal and External Flow, A Wiley-Interscience Publication, 2, pp. 460–469 (1989).Google Scholar
17van Leer, B., “Upwind-Difference Methods for Aerodynamic Problems Governed by the Euler Equations, in Large-Scale Computations in Fluid Mechanics,” Lectures in Applied Mathematics, 22, pp. 327–336 (1985).Google Scholar
18van Leer, B., “Upwind-Difference Methods for Aerodynamic Problems Governed by the Euler Equations,” Proceedings of Large-Scale Computations in Fluid Mechanics, Lectures in Applied Mathematics, 22, pp. 327–336 (1985).Google Scholar
19Mulder, W. and van Leer, B., “Experiments with Implicit Upwind Methods for the Euler Equations,” Journal of Computational Physics, 59, pp. 232–246 (1985).Google Scholar
20van Albada, G. D., van Leer, B. and Roberts, J. W. W., “A Comparative Study of Computational Methods in Cosmic Gas Dynamic,” Astronomy and Astrophysics, 108, pp. 76–85 (1982).Google Scholar
21Fromm, E., “A Method for Reducing Dispersion in Convective Difference Scheme,” Journal of Computational Physics, 3, pp. 413–437 (1968).Google Scholar
22Hirsch, C., “Numerical Computation of Internal and External Flow,” John Wiley & Sons Ltd., 2, Chap. 21 (1990).Google Scholar
23Goldberg, U. C., “Toward a Pointwise Turbulence Model for Wall-Bounded and Free Shear Flow,” J. of Fluids Engineering, 116(1), pp. 72–76 (1994)CrossRefGoogle Scholar
24Emmons, H. W., “The Laminar-Turbulent Transition in a Boundary Layer — Part I,” J. of Aerospace Sciences, 18(7), pp. 490–498 (1951).Google Scholar
25Clark, J. P., Jones, T. V. and LaGraff, J. E., “On the Propagation of Naturally Occurring Turbulent Spots,” J. of Engineering Mathematics, 28, pp. 1–19 (1994).Google Scholar
26Simon, F. F., “The Use of Transition Region Characteristics to Improve the Numerical Simulation of Heat Transfer in Bypass Transitional Flow,” Int. J. of Rotating Machinery, 2(2), pp. 93–102 (1995).Google Scholar
27Solomon, W. J., Walker, G. J. and Gostelow, J. P., “Transition Length Prediction for Flow with Rapidly Changing Pressure Gradients,” ASME Paper 95-GT-241 (1995).Google Scholar
28Wang, J., Keller, F. J. and Zhou, D., “Flow and Thermal Structures in a Transitional Boundary Layer,” Experiment Thermal and Fluid Science, 12, pp. 352–363 (1996).Google Scholar