Turbulence length scale calculation methods were critically reviewed for their usefulness in boundary layer heat transfer correlations. Using the variance of the streamwise velocity and the dissipation spectrum, a rigorous method for calculating an energy-based integral scale was introduced. A principal advantage of the new method is the capability to calculate length scales in a low-Reynolds-number turbulent boundary layer. The method was validated with data from grid-generated, free-shear-layer, and wall-bounded turbulence. Length scales were calculated in turbulent boundary layers with momentum thickness Reynolds numbers from 400 to 2100 and in flows with turbulent Reynolds numbers as low as 90.
Issue Section:
Forced Convection
1.
Tennekes, H., and Lumley, J. L., 1972, A First Course in Turbulence, MIT Press, Cambridge, MA.
2.
Hinze, J. O., 1975, Turbulence, McGraw-Hill, New York.
3.
Young
, C. D.
, Han
, J. C.
, Huang
, Y.
, and Rivir
, R. B.
, 1992
, “Influence of Jet-grid Turbulence on Flat Plate Turbulent Boundary Layer Flow and Heat Transfer
,” ASME J. Heat Transfer
, 114
, pp. 65
–72
.4.
Van Fossen
, G. J.
, Simoneau
, R. J.
, and Ching
, C. Y.
, 1995
, “Influence of Turbulence Parameters, Reynolds Number, and Body Shape on Stagnation-region Heat Transfer
,” ASME J. Heat Transfer
, 117
, pp. 597
–603
.5.
Camp
, T. R.
, and Shin
, H.-W.
, 1995
, “Turbulence Intensity and Length Scale Measurements in Multistage Compressors
,” ASME J. Turbomach.
, 117
, pp. 38
–46
.6.
Moss
, R. W.
, and Oldfield
, M. L. G.
, 1996
, “Effect of Free-Stream Turbulence on Flat-plate Heat Flux Signals: Spectra and Eddy Transport Velocities
,” ASME J. Turbomach.
, 118
, pp. 461
–467
.7.
Hollingsworth
, D. K.
, and Bourgogne
, H.-A.
, 1995
, “The Development of a Turbulent Boundary Layer in High Free-stream Turbulence Produced by a Two-stream Mixing Layer
,” Exp. Therm. Fluid Sci.
, 11
, pp. 210
–222
.8.
Maniam, B. M., and Hollingsworth, D. K., 1998, “Experimental Investigation of Heat Transfer in a Three-Dimensional Boundary Layer Beneath a Mixing Layer,” Proceedings, 7th AIAA/ASME Joint Thermophysics and Heat Transfer Conference, Paper 12-HT-3.1, Albuquerque, NM, June 15–18.
9.
Thole
, K. A.
, Bogard
, D. G.
, and Whan-Tong
, J. L.
, 1994
, “Generating High Freestream Turbulence Levels
,” Experiments in Fluids
, 17
, pp. 375
–380
.10.
Johnson, P. L., and Johnston, J. P., 1989, “The Effects of Grid-Generated Turbulence on Flat and Concave Turbulent Boundary Layers,” Report No. MD-53, Department of Mechanical Engineering, Stanford University, Stanford, CA.
11.
Simonich
, J. C.
, and Bradshaw
, P.
, 1978
, “Effect of Free-Stream Turbulence on Heat Transfer through a Turbulent Boundary Layer
,” ASME J. Heat Transfer
, 100
, pp. 671
–677
.12.
Ames, F. E., and Moffat, R. J., 1990, “Heat Transfer with High Intensity, Large Scale Turbulence: The Flat Plate Turbulent Boundary Layer and the Cylindrical Stagnation Point,” Report No. HMT-44, Department of Mechanical Engineering, Stanford University, Stanford, CA.
13.
Lumley
, J. L.
, 1965
, “Interpretation of Time Spectra Measured in High-intensity Shear Flows
,” Phys. Fluids
, 8
, pp. 1056
–1062
.14.
Spalart
, P. R.
, 1988
, “Direct Simulation of a Turbulent Boundary Layer up to Rθ=1410,
” J. Fluid Mech.
, 187
, pp. 61
–98
.15.
Barrett, M. J., and Hollingsworth, D. K., 1999, “On the Correlation of Heat Transfer in Turbulent Boundary Layers Subjected to Free-stream Turbulence,” Proceedings of the 33rd National Heat Transfer Conference, ASME Paper HTD99-76; Albuquerque, NM, August 15–17.
16.
Blair
, M. F.
, 1983
, “Influence of Free-stream Turbulence on Turbulent Boundary Layer Heat Transfer and Mean Profile Development: Part II—Analysis of Results
,” ASME J. Heat Transfer
, 105
, pp. 41
–47
.17.
Hancock
, P. E.
, and Bradshaw
, P.
, 1989
, “Turbulence Structure of a Boundary Layer Beneath a Turbulent Free Stream
,” J. Fluid Mech.
, 205
, pp. 45
–76
.18.
Castro
, I. P.
, 1984
, “Effect of Free Stream Turbulence on Low Reynolds Number Boundary Layers
,” ASME J. Fluids Eng.
, 106
, pp. 298
–306
.19.
Hancock
, P. E.
, and Bradshaw
, P.
, 1983
, “The Effect of Free-stream Turbulence on Turbulent Boundary Layers
,” ASME J. Fluids Eng.
, 105
, pp. 284
–289
.20.
Sahm, M. K., and Moffat, R. J., 1992, “Turbulent Boundary Layers with High Turbulence: Experimental Heat Transfer and Structure on Flat and Convex Walls,” Report No. HMT-45, Department of Mechanical Engineering, Stanford University, Stanford, CA.
21.
Ames, F. E., and Plesniak, M. W., 1995, “The Influence of Large Scale, High Intensity Turbulence on Vane Aerodynamic Losses, Wake Growth, and the Exit Turbulence Parameters,” Proceedings, International Gas Turbine and Aeroengine Congress and Exposition, ASME Paper 95-GT-290, Houston, TX, June 5–8.
22.
Thole
, K. A.
, and Bogard
, D. G.
, 1995
, “Enhanced Heat Transfer and Shear Stress Due to High Free-Stream Turbulence
,” ASME J. Turbomach.
, 117
, pp. 418
–424
.23.
Thole
, K. A.
, and Bogard
, D. G.
, 1996
, “High Freestream Turbulence Effects on Turbulent Boundary Layers
,” ASME J. Fluids Eng.
, 118
, pp. 276
–284
.24.
Ames
, F. E.
, 1997
, “The Influence of Large-Scale High-Intensity Turbulence on Vane Heat Transfer
,” ASME J. Turbomach.
, 119
, pp. 23
–30
.25.
Bott, D. M., and Bradshaw, P., 1998, “Effect of High Free-Stream Turbulence on Boundary Layer Skin Friction and Heat Transfer,” Proceedings, 36th Aerospace Sciences Meeting & Exhibit, Reno, NV, AIAA Paper 98-0531, January 12–15.
Copyright © 2001
by ASME
You do not currently have access to this content.
