Hostname: page-component-cd9895bd7-gxg78 Total loading time: 0 Render date: 2024-12-29T14:16:29.548Z Has data issue: false hasContentIssue false
  • English
  • Français

A numerical study of turbulent supersonic isothermal-wall channel flow

Published online by Cambridge University Press:  26 April 2006

G. N. Coleman ,
J. Kim  and
R. D. Moser
G. N. Coleman
Affiliation:
Mechanical, Aerospace, and Nuclear Engineering Department, UCLA, 48-121 Engr. IV, Box 951597, Los Angeles, CA 90095-1597, USA
J. Kim
Affiliation:
Mechanical, Aerospace, and Nuclear Engineering Department, UCLA, 48-121 Engr. IV, Box 951597, Los Angeles, CA 90095-1597, USA
R. D. Moser
Affiliation:
NASA Ames Research Center, Moffett Field, CA 94035-1000, USA Present address:Department of Theoretical and Applied Mechanics, University of Illinois, Urbana, IL 61801 USA.
Get access Rights & Permissions [Opens in a new window]

Abstract

A study of compressible supersonic turbulent flow in a plane channel with isothermal walls has been performed using direct numerical simulation. Mach numbers, based on the bulk velocity and sound speed at the walls, of 1.5 and 3 are considered; Reynolds numbers, defined in terms of the centreline velocity and channel half-width, are of the order of 3000. Because of the relatively low Reynolds number, all of the relevant scales of motion can be captured, and no subgrid-scale or turbulence model is needed. The isothermal boundary conditions give rise to a flow that is strongly influenced by wall-normal gradients of mean density and temperature. These gradients are found to cause an enhanced streamwise coherence of the near-wall streaks, but not to seriously invalidate Morkovin's hypothesis : the magnitude of fluctuations of total temperature and especially pressure are much less than their mean values, and consequently the dominant compressibility effect is that due to mean property variations. The Van Driest transformation is found to be very successful at both Mach numbers, and when properly scaled, statistics are found to agree well with data from incompressible channel flow results.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 305 , 25 December 1995 , pp. 159 - 183
Copyright
© 1995 Cambridge University Press

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

Antonia, R. A. & Kim, J. 1994 Low-Reynolds number effects on near-wall turbulence. J. Fluid Mech. 276, 61–80.Google Scholar
Blaisdell, G. A., Mansour, N. N. & Reynolds, W. C. 1993 Compressibility effects on the growth and structure of homogcneous turbulent shear flow. J. Fluid Mech. 256, 443–485.Google Scholar
Bradshaw, P. 1977 Compressible turbulent shear layers. Ann. Rev. Fluid Mech. 9, 33–54.Google Scholar
Bradshaw, P. & Ferriss, D. H. 1971 Calculation of boundary layer development using the energy equation: compressible flow on adiabatic walls. J. Fluid Mech. 46, 83–110.Google Scholar
Brown, G. L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775–816.Google Scholar
Buell, J. C. 1991 Direct simulations of compressible wall-bounded turbulence. CTR Annual Research Briefs - 1990, Stanford University/NASA Ames.
Childs, R. E. & Reisenthel, P. H. 1995 Simulation study of compressible turbulent boundary layers. AIAA Paper 95–0582.Google Scholar
Coleman, G. N. 1993 Direct simulation of isothermal-wall supersonic channel flow. CTR Annual Research Briefs - 1993, Stanford University/NASA Ames.
Coleman, G. N., Buell, J. C., Kim, J. & Moser, R. D. 1993 Direct simulation of compressible wall-bounded turbulence. Ninth Symp. on Turbulent Shear Flows, Kyoto, Japan, August 16–18, 1993.
Ducros, F., Compte, P. & Lesieur, M. 1993 Ropes and lambda vortices in direct and large-eddy simulations of a high-Mach number boundary layer over a flat plate. Turbulent Shear Flows 9 (ed. F. Durst et al.). Springer.
Fernholz, H. H. & Finley, P. J. 1977 A critical compilation of compressible turbulent boundary layer data. AGARD-AG-223.
Fernholz, H. H. & Finley, P. J. 1980 A critical commentary on mean flow data for two-dimensional compressible turbulent boundary layers. AGARD-AG-253.
Fernholz, H. H., Smits, A. J., Dussauge, J.-P. & Finley, P. J. 1989 A survey of measurements and measuring techniques in rapidly distorted compressible turbulent boundary layers. AGARD-AG-315.
Fletcher, C. A. J. 1994 Computational Galerkin Methods. Springer.
Guo, Y. & Adams, N. A. 1994 Proc. 5th Summer Prog., NASA/Stanford Center for Turbulence Research.
Guo, Y., Kleiser, L. & Adams, N. A. 1994 A comparison study of an improved temporal DNS and spatial DNS of compressible boundary layer transition. AIAA Paper 94–2171.Google Scholar
Hatay, F. F. & Biringen, S. 1995 Direct numerical simulation of low-Reynolds number supersonic turbulent boundary layers. AIIA Paper 95-2581.
Huang, P. G., Bradshaw, P. & Coakley, T. J. 1993 A skin friction and velocity profile family for compressible turbulent boundary layers. AIAA J. 31, 1600–1604.Google Scholar
Huang, P. G. & Coleman, G. N. 1994 On the Van Driest transformation and compressible wall-bounded flows. AIAA J. 32, 2110–2113.Google Scholar
Huang, P. G., Coleman, G. N. & Bradshaw, P. 1995 Compressible turbulent channel flows: DNS results and modelling. J. Fluid Mech. 305, 185–218.Google Scholar
Kim, J., Moin, P. & Moser, R. 1987 Turbulence statistics in fully developed channel flow at low Reynolds number. J. Fluid Mech. 305, 185–218.Google Scholar
KovÁZNAY, L. S. G. 1953 Turbulence in supersonic flow. J. Aeronaut. Sci. 20, 657–682.Google Scholar
Lee, M. J., Kim, J. & Moin, P. 1990 Structure of turbulence at high shear rate. J. Fluid Mech. 216, 561–583.Google Scholar
Lele, S. K. 1989 Direct numerical simulation of compressible free shear flows. AIAA Paper 89–0374.Google Scholar
Lele, S. K. 1994 Compressibility effects on turbulence. Ann. Rev. Fluid Mech. 26, 211–254.Google Scholar
Morkovin, M. V. 1964 Effects of compressibility on turbulent flows. In Mechanique de la Turbulence (ed. A. Favre), pp. 367–380. Gordon & Breach.
Papamoschou, D. & Roshko, A. 1986 Observations of supersonic free shear layers. AIAA Paper 86–0162.Google Scholar
Papamoschou, D. & Roshko, A. 1988 The compressible turbulent shear layer: an experimental study. J. Fluid Mech. 197, 453–477.
Rai, M. M., Gatski, T. B. & Erlebachek, G. 1995 Direct simulation of spatially evolving compressible turbulent boundary layers. AIAA Paper 95–0583.Google Scholar
Robinson, S. K. 1991 Coherent motions in the turbulent boundary layer. Ann. Rev. Fluid Mech. 23, 601–639.Google Scholar
Sandham, N. D. & Reynolds, W. C. 1991 Three dimensional simulations of large eddies in the compressible mixing layer. J. Fluid Mech. 224, 133–158.Google Scholar
Seitles, G. S. & Dodson, L. J. 1991 Hypersonic shock/boundary layer interaction database. NASA Contractor Rep. 177577.Google Scholar
Spalart, P. R. 1988 Direct simulation of a turbulent boundary layer up to Re0 = 1410. J. Fluid Mech. 187, 61–98.Google Scholar
Speziale, C. G. & Sarkar, S. 1991 Second-order closure models for supersonic turbulent flows. AIAA Paper 91–0212.Google Scholar
Spina, E. F., Smits, A. J. & Robinson, S. K. 1994 The physics of supersonic turbulent boundary layers Ann. Rev. Fluid Mech. 26, 287–319.
Temperton, C. 1985 Implementation of a self-sorting in-place prime factor FFT algorithm. J. Comput. Phys. 58, 283–299.Google Scholar
Zeman, O. 1990 Dilatation dissipation: The concept and application in modeling compressible mixing layers. Phys. Fluids A 2, 178–188.Google Scholar