Compressible turbulent channel and pipe flow: Similarities and differences

Journal of Fluid Mechanics

Volumn 648, Issue , 2010, Pages 155-181

  Ghosh, Somnath ^a   Foysi, Holger ^b   Friedrich, Rainer ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

FRICTION; PRANDTL NUMBER; REYNOLDS NUMBER; TURBULENT FLOW;

CHARACTERISTIC DIFFERENCE; FLUCTUATING PRESSURES; ISOTHERMAL WALL; PRESSURE FLUCTUATION; REYNOLDS STRESS EQUATION; SWIRLING PIPE FLOWS; TURBULENCE STATISTICS; TURBULENT CHANNELS;

PIPE FLOW;

COMPRESSIBLE FLOW; GREEN FUNCTION; NUMERICAL MODEL; PIPE FLOW; REYNOLDS NUMBER; TURBULENCE; TURBULENT FLOW;

EID: 77952382030     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009993004     Document Type: Article

References (29)

1. τ = 640. ASME J. Fluids Engng 126, 835-843.
2. Adams, N. A. & Shariff, K. 1996 A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems. J. Comput. Phys. 127, 27-51.
3. Bird, R. B., Stewart, W. E. & Lightfoot, E. N. 1960 Transport Phenomena. J. Wiley and Sons.
4. Bradshaw, P. 1977 Compressible turbulent shear layers. Annu. Rev. Fluid Mech. 9, 33-52.
5. Chassaing, P., Antonia, R. A., Anselmet, F., Joly, F. & Sarkar, S. 2002 Variable Density Fluid Turbulence. Kluwer Academic Press.
6. Coleman, G. N., Kim, J. & Moser, R. D. 1995 A numerical study of turbulent supersonic isothermal-wall channel flow. J. Fluid Mech. 305, 159-183.
7. Fernholz, H. H. & Finley, P. J. 1976 A critical compilation of compressible turbulent boundary layer data. AGARDograph 223.
8. Foysi, H., Sarkar, S. & Friedrich, R. 2004 Compressibility effects and turbulence scalings in supersonic channel flow. J. Fluid Mech. 509, 207-216.
9. Gatski, T. B. & Bonnet, J. P. 2009 Compressibility, Turbulence and High Speed Flow. Elsevier.
10. Ghosh, S., Sesterhenn, J. & Friedrich, R. 2008 Large-eddy simulation of supersonic turbulent flow in axisymmetric nozzles and diffusers. Intl J. Heat Fluid Flow 29, 579-590.
11. Guala, M., Hommema, S. E. & Adrian, R. J. 2006 Large-scale and very-large-scale motions in turbulent pipe flow. J. Fluid Mech. 554, 521-542.
12. Huang, P. G., Coleman, G. N. & Bradshaw, P. 1995 Compressible turbulent channel flows: DNS results and modelling. J. Fluid Mech. 305, 185-218.
13. Hutchins, N. & Marusic, I. 2007 Large-scale influences in near-wall turbulence. Phil. Trans. R. Soc. A 365, 647-664.
14. Kim, J. 1989 On the structure of pressure fluctuations in simulated turbulent channel flow. J. Fluid Mech. 205, 421-451.
15. Kline, S. J., Cantwell, B. J. & Lilley, G. M. 1982 Proceedings of the 1980-81 AFOSR-HTTM-Stanford Conference on Complex Turbulent Flows, vol.1. Department of Mechanical Engineering, Stanford University.
16. Lechner, R., Sesterhenn, J. & Friedrich, R. 2001 Turbulent supersonic channel flow. J. Turbul. 2, 1-25.
17. Lele, S. K. 1992 Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103, 16-42.
18. Lele, S. K. 1994 Compressibiliy effects on turbulence. Annu. Rev. Fluid Mech. 26, 211-254.
19. Mohseni, K. & Colonius, T. 2000 Numerical treatment of polar coordinate singularities. J. Comput. Phys. 157, 787-795.
20. Morrison, J. F., McKeon, B. J., Jiang, W. & Smits, A. J. 2004 Scaling of the streamwise velocity component in turbulent pipe flow. J. Fluid Mech. 508, 99-131.
21. Nickels, T. B. 2004 Inner scaling of wall-bounded flows subject to large pressure gradients. J. Fluid Mech. 521, 217-239.
22. Nieuwstadt, F. T. M. & Bradshaw, P. 1997 Similarities and differences of turbulent boundary layer, pipe and channel flow. In Boundary Layer Separation in Aircraft Aerodynamics (ed. R. A. W. M. Henkes & P. G. Bakker), pp. 15-22. Delft University Press.
23. Schlichting, H. 1968 Boundary-Layer Theory, 6th edn. McGraw-Hill.
24. Sesterhenn, J. 2001 A characteristic-type formulation of the Navier-Stokes equations for high order upwind schemes. Comput. Fluids 30, 37-67.
25. Smits, A. J. & Dussauge, J. P. 2006 Turbulent Shear Layers in Supersonic Flow, 2nd edn. Springer.
26. Stakgold, I. 1979 Green's Functions and Boundary Value Problems. Wiley Interscience.
27. Williamson, J. K. 1980 Low-storage Runge-Kutta schemes. J. Comput. Phys. 35, 48-56.
28. Wosnik, M., Castillo, L. & George, W. K. 2000 A theory for turbulent pipe and channel flows. J. Fluid Mech. 421, 115-145.
29. Wu, X. & Moin, P. 2008 A direct numerical simulation study on the mean velocity characteristics in turbulent pipe flow. J. Fluid Mech. 608, 81-112.