BEM/FVM conjugate heat transfer analysis of a three-dimensional film cooled turbine blade

International Journal of Numerical Methods for Heat and Fluid Flow

Volumn 13, Issue 5-6, 2003, Pages 581-610

  Kassab, A ^a   Divo, E ^a   Heidmann, J ^b   Steinthorsson, E ^c   Rodriguez, F ^a  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

^b NASA GLENN RESEARCH CENTER   (United States)

^c A and E Consulting   (United States)

Author keywords

Boundary elements; Coupled phenomena; Finite volume; Heat transfer

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; BOUNDARY ELEMENT METHOD; COMPUTER SIMULATION; FINITE VOLUME METHOD; HEAT CONDUCTION; ITERATIVE METHODS; NAVIER STOKES EQUATIONS; THREE DIMENSIONAL; TURBOMACHINE BLADES;

COARSE GRID SOLUTION; COMPLEX MECHANICAL DEVICES;

HEAT TRANSFER;

ALGORITHM; BOUNDARY ELEMENT METHOD; HEAT TRANSFER; TURBINE;

EID: 0141989558     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615530310482463     Document Type: Article

References (54)

1. Ameri, A.A., Steinthorsson, E. and Rigby, D.L. (1997), "Effect of squealer tip on rotor heat transfer and efficiency", ASME Paper 97-GT-128.
2. Azevedo, J.P.S. and Wrobel, L.C. (1988), "Non-linear heat conduction in composite bodies: a boundary element formulation", International Journal for Numerical Methods in Engineering, Vol. 26, pp. 19-38.
3. Banerjee, P.K. (1994) Boundary Element Method, McGraw-Hill, NY, USA.
4. Bialecki, R. and Nhalik, R. (1989), "Solving nonlinear steady state potential problems in inhomogeneous bodies using the boundary element method", Numerical Heat Transfer, Part B, Vol. 15, pp. 79-96.
5. Bialecki, R.A., Merkel, M., Mews, H. and Kuhn, G. (1996), "In-and out-of-core BEM equation solver with parallel and nonlinear options", International Journal for numerical Methods in Engineering, Vol. 39, pp. 4215-42.
6. Bialecki, R., Ostrowski, Z., Kassab, A., Qi, Y. and Sciubba, E. (2001) "Coupling finite element and boundary element solutions", Proc. of the 2001 European Conference on Computational Mechanics, 26-29 June, 2001, Cracow, Poland.
7. Bohn, D.E., Becker, V.J. and Rungen, A.U. (1997) "Experimental and numerical conjugate flow and heat transfer investigation of a shower-head cooled turbine guide vane", ASME Paper 97-GT-15.
8. Bohn, D., Becker, V., Kusterer, K., Otsuki, Y., Sugimoto, T. and Tanaka, R. (1999), "3-D internal conjugate calculations of a convectively cooled turbine blade with serpentine-shaped ribbed channels", IGTI Paper 99-GT-220.
9. Brebbia, C.A. and Dominguez, J. (1989) Boundary Elements: An Introductory Course, Computational Mechanics Pub, Southampton and McGraw-Hill, NY, USA.
10. Brebbia, C.A., Telles, J.C.F. and Wrobel, L.C. (1984), Boundary Element Techniques, Springer-Verlag, Berlin.
11. Brown, S.A. (1997) "Displacement extrapolations for CFD+CSM aeroelastic analysis", AIAA Paper 97-1090
12. Bucher, H. and Wrobel, L.C. (2000) "A novel approach to applying wavelet transforms in boundary element method", in Denda, M., Aliabadi, M.H. and Charafi, A. (Eds), Advances in Boundary Element Techniques, II, Hogaar press, Switzerland, pp. 3-11.
13. China, R.V. (1996) "A k-ω turbulence model for quasi-dimensional turbomachinery flows", NASA TM-107051.
14. Comini, G., Saro, O. and Manzan, M. (1993), "A physical approach to finite element modeling of coupled conduction and convection", Numerical Heat Transfer, Part B, Vol. 24, pp. 243-61.
15. Divo, E.A., Kassab, A.J. and Rodriguez, F. (2003) "Domain decomposition for 3D boundary elements in non-linear heat conduction", ASME Paper HT2003-40553.
16. Dowell, E. and Hall, K.C. (2001) "Modeling of fluid structure interaction", Annual Review of Fluid Mechanics, Vol. 33, pp. 445-90.
17. Greengard, L. and Strain, J. (1990), "A fast algorithm for the evaluation of heat potentials", Communications in Pure and Applied Mathematics, Vol. 43, pp. 949-963.
18. Hackbush, W. and Nowak, Z.P. (1989) "On the fast multiplication in the boundary element method by panel clustering", Numerische Mathematik, Vol. 54, pp. 463-491.
19. Hahn, Z., Dennis, B. and Dulikravich, G. (2000), "Simultaneous prediction of external flow-field and temperature in internally cooled 3-D turbine blode material", IGTI Paper 2000-GT-253.
20. Hassan, B., Kuntz, D. and Potter, D.L. (1998), "Coupled fluid/thermal prediction of ablating hypersonic vehicles", AIAA Paper 98-0168.
21. He, M., Bishop, P., Kassab, A.J. and Minardi, A. (1995a), "A coupled FDM/BEM solution for the conjugate heat transfer problem", Numerical Heat Transfer, Part B: Fundamentals, Vol. 28 No. 2, pp. 139-54.
22. He, M., Kassab, A.J., Bishop, P.J. and Minardi, A. (1995) "A coupled FDM/BEM iterative solution for the conjugate heat transfer problem in thick-walled channels: constant temperature imposed at the outer channel wall", Engineering Analysis, Vol. 15 No. 1, pp. 43-50.
23. Heidmann, J., Rigby, D. and Ameri, A. (2000), "A three-dimensional coupled external/internal simulation of a film-cooled turbine vane", ASME Journal of Turbomachinery, Vol. 122, pp. 348-59.
24. Heidmann, J.D., Kassab, A.J., Divo, E.A., Rodriguez, F. and Steinthorsson, E. (2003), "Conjugate heat transfer effects on a realistic film-cooled turbine vane", ASME Paper GT2003-G38553.
25. Jameson, A., Schmidt, W. and Turkel, E. (1981), "Numerical simulation of the Euler equations by the finite volume methods using Runge-Kutta time stepping schemes", AIAA Paper 81-1259.
26. Kane, J. (1994), Boundary Element Analysis in Engineering and Continuum Mechanics, Prentice-Hall, Englewood Cliffs, New Jersey.
27. Kane, J.H., Kashava-Kumar, B.L. and Saigal, S. (1990), "An arbitrary condensing, noncondensing strategy for large scale, multi-zone boundary element analysis", Computer Methods in Applied Mechanics and Engineering, Vol. 79, pp. 219-44.
28. Kao, K.H. and Liou, M.S. (1997), "Application of chimera/unstructured hybrid grids for conjugate heat transfer", AIAA Journal, Vol. 35 No. 9, pp. 1472-8.
29. Kassab, A.J. and Aliabadi, M.H. (Eds) (2001), Advances in Boundary Elements: Coupled Field Problems, Computational Mechanics, Boston.
30. Kassab, A.J. and Nordlund, R.S. (1994), "Addressing the corner problem in the BEM solution of heat conduction problems", Communications in Numerical Methods in Engineering, Vol. 10, pp. 385-92.
31. Kassab, A.J. and Wrobel, L.C. (2000), "Boundary element methods in heat conduction", in Mincowycz, W.J. and Sparrow, E.M. (Eds), Recent Advances in Numerical Heat Transfer, Chapter 5, Taylor and Francis, New York, Vol. 2, pp. 143-88.
32. Kellogg, O.D. (1953), Foundations of Potential Theory, Dover, New York.
33. Kontinos, D. (1997), "Coupled thermal analysis method with application to metallic thermal protection panels", AIAA Journal of Thermophysics and Heat Transfer, Vol. 11 No. 2, pp. 173-81.
34. Li, H. and Kassab, A.J. (1994a), "Numerical prediction of fluid flow and heat transfer in turbine blades with internal cooling", AIAA/ASME Paper 94-2933.
35. Li, H. and Kassab, A.J. (1994b), "A coupled FVM/BEM solution to conjugate heat transfer in turbine blades", AIAA Paper 94-1981.
36. Liggett, J.A. and Liu, P.L.-F. (1983), The Boundary Integral Equation Method for Porous Media Flow, Allen and Unwin, Boston.
37. Menter, F.R. (1993), "Zonal two-equation k-ω turbulence models for aerodynamic flows", AIAA Paper 93-2906.
38. Morse, P.M. and Feshbach, H. (1953), Methods of Theoretical Physics, McGraw-Hill, NY, USA.
39. Partridge, P.W., Brebbia, C.A. and Wrobel, L.C. (1992), The Dual Reciprocity Boundary Element Method, Computational Mechanics Publications, Southampton.
40. Patankar, S.V. (1978), "A numerical method for conduction in composite materials, flow in irregular geometries and conjugate heat transfer", Proc. 6th Int. Heat Transfer Conf., NRC Canada, and Hemisphere Pub. Co., New York, Vol. 3, pp. 297-302
41. Program Development Corporation (1997), GridPro™/az3000-User's guide and reference manual, White Plains, New York.
42. Rahaim, C., Cavalleri, R.J. and Kassab, A.J. (1997), "Computational code for conjugate heat transfer problems an experimental validation effort", AIAA Paper 97-2487.
43. Rahaim, C.P., Kassab, A.J. and Cavalleri, R. (2000), "A coupled dual reciprocity boundary element/finite volume method for transient conjugate heat transfer", AIAA Journal of Thermophysics and Heat Transfer, Vol. 14 No.1, pp. 27-38.
44. Rigby, D.L., Ameri, A.A. and Steinthorsson, E. (1997), "Numerical prediction of heat transfer in a channel with ribs and bleed", ASME Paper 97-GT-431.
45. Schlichting, H. (1979), Boundary Layer Theory, 7th edition, McGraw-HIll, NY, USA, pp. 312-13.
46. Shyy, W. and Burke, J. (1994), "Study of iterative characteristics of convective diffusive and conjugate heat transfer problems", Numerical Heat Transfer, Part B, Vol. 26, pp. 21-37.
47. Steinthorsson, E., Ameri, A. and Rigby, D. (n.d.), LeRC-HT-The NASA Lewis Research Center General Multi-Block Navier-Stokes Convective Heat Transfer Code, (unpublished).
48. Steinthorsson, E., Liou, M.-S. and Povinelli L.A. (1993), "Development of an explicit multi-block/multigrid flow solver for viscous flows in complex geometries", AIAA Paper 93-2380.
49. Tayala, S.S., Rajadas, J.N. and Chattopadyay, A. (2000), "Multidisciplinary optimization for gas turbine airfoil design", Inverse Problems in Engineering, Vol. 8 No. 3, pp. 283-307.
50. Turkel, E. (1987), "Preconditioned methods for solving the incompressible and low-speed compressible equations", Journal of Computational Physics, Vol. 72 No. 2, pp. 277-98.
51. Turkel, E. (1993), "Review of preconditioning methods for fluid dynamics", Applied Numerical Mathematics, Vol. 12, pp. 257-84.
52. Wilcox, D.C. (1993), Turbulence Modeling for CFD, DCW Industries, La Canada, California.
53. Wilcox, D.C. (1994), "Simulation of transition with a two-equation turbulence model", AIAA Journal, Vol. 32 No. 2, pp. 247-55.
54. Ye, R., Kassab, A.J. and Li, H.J. (1998), "FVM/BEM approach for the solution of nonlinear conjugate heat transfer problems", in Kassab, A.J., Brebbia, C.A. and Chopra, M.B. (Eds) Proc. BEM 20, 19-21 August, Orlando, Florida, pp. 679-89.