Direct experimental assessment of the nonlinear constitutive equation for a complex flow

39th Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 2001, Pages

  Schmitt, François ^a   Hirsch, Charles ^a  

^a VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

AEROSPACE ENGINEERING; CONSTITUTIVE EQUATIONS;

BEST APPROXIMATIONS; COMPLEX TURBULENT FLOWS; EVOLUTION EQUATIONS; EXPERIMENTAL ASSESSMENT; LINEAR EDDY VISCOSITY MODELS; NONLINEAR CONSTITUTIVE EQUATIONS; PRINCIPAL DIRECTIONS; STRESS AND STRAIN;

NONLINEAR EQUATIONS;

EID: 85085403439     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2001-881     Document Type: Conference Paper

References (22)

1. Launder, B. and R. Spalding: The numerical computation of turbulent flows. Comput. Methods Appl. Mech. Eng., 3 (1974), 269-289.
2. Pope, S. B.: A more general effective-viscosity hypothesis, J. Fluid Mech., 72 (1975), 331-340.
3. Taulbee, D. B., An improved algebraic Reynolds stress model and corresponding nonlinear stress model. Phys. Fluids A, 4 (1992), 2555-2561.
4. Gatski, T. B. and C. Speziale: On explicit algebraic stress models for complex. J. Fluid Mech., 254(1993), 59-78.
5. Shih, T.-H. and J. Lumley: Remarks on turbulent constitutive relations. Math. Comput. Modelling, 18(1993), 9-16.
6. Jongen, T. and T. B. Gatski: General explicit algebraic stress relations and best approximation for three-dimensional flows. Int. J. Eng. Sci., 36 (1998), 739-763.
7. Zhu, J. and T.-H. Shih: A numerical study of confined turbulent jets. Trans. ASME, 116 (1994), 702-706.
8. Mompean, G., Gavrilakis, S., Machiels, L. and M. O. Deville: On predicting the turbulence-induced secondary flows using nonlinear k-_ models. Phys. Fluids, 8 (1996), 1856-1868
9. Wall, K. M. and D. B. Taulbee: Application of a nonlinear stress-strain model to axisymmetric turbulent swirling flows. Int. J. Heat Fluid Flow, 17(1996), 116-123
10. Apsley, D. D. et al.: Non-linear eddy-viscosity modelling of separated flows. J. Hydraul. Res., 35 (1997), 723-748
11. Apsley, D. D. and M. A. Leschziner: A new low- Reynolds-number nonlinear two-equation turbulence model for complex flows. Int. J. Heat Fluid Flow, 19 (1998), 209-222
12. Boussinesq, M. J.: Essai sur la theorie des eaux courantes. In Memoires presentes par divers savants a l'Academie des Sciences, tome XXIII, pages 43-47. Imprimerie Nationale, Paris, 1877.
13. Spencer, A. J.: Theory of invariants. In Eringen, A. C, editor: Continuum Physics, volume-1, pages 239-353. Academic Press, New-York, 1971.
14. Schmitt, F. and Ch. Hirsch: Experimental study of the constitutive equation for an axisymmetric complex turbulent flow, Z. angew. Math. Mech., 80(2000), 815-825.
15. Moore, J. G., S. A. Schorn and J. Moore: Methods of Classical Mechanics Applied to Turbulence Stresses in a Tip Leakage Vortex, Trans. ASME J. Turbomachinery, 118 (1996), 622-629.
16. Tao B., J. Katz and C. Meneveau, Geometry and scale relationships in high Reynolds number turbulence determined from three-dimensional holographic velocimetry, Phys. Fluids, 12 (2000), 941-944.
17. Kim, J., P. Moin and R. Moser, Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech., 177 (1987), 133-166.
18. Antonia, R. A., M. Teitel, J. Kim and L. Browne, Low-Reynolds-number effects in a fully developed turbulent channel flow. J. Fluid Mech., 236 (1992), 579-605.
19. Balint, J.-L., J. M. Wallace and P. Vukoslavcevic, The velocity and vorticity vector fields of a turbulent boundary layer. Part 2, statistical properties. J. Fluid Mech., 228 (1991), 53-86.
20. Durst, F., J. Jovanovic, and J. Sender, LDA measurements in the near-wall region of a turbulent pipe flow. J. Fluid Mech., 295 (1995), 305-335.
21. Schmitt, F., Hirsch, Ch., Hazarika, B. K.: Experimental study of the flow field in the nozzle region of a double annular burner. J. Fluid Eng., (2000), submitted.
22. Schmitt, F., Ch. Hirsch and B. K. Hazarika: LDA measurements in the nozzle region of a confined double annular burner: statistical analysis and model evaluation, Proceedings of the 10th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon, Portugal, July 2000.