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Some Correlations for the Turbulent Boundary Layer on a Flat Plate

Published online by Cambridge University Press:  04 July 2016

P. D. Chappell
P. D. Chappell*
Affiliation:
Royal Aeronautical Society, Engineering Sciences Data Unit
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Extract

Spalding and Chi have shown that their method of predicting the skin friction and momentum thickness for the compressible turbulent boundary layer with and without heat transfer gives good agreement with experimental data. For practical purposes a knowledge of the shape parameter, displacement thickness and boundary-layer thickness are also often required. In this note it is shown that the predictions of these additional boundary-layer parameters by extending the work of Spalding and Chi do not compare so favourably with experiment. New correlations have therefore been developed and are reported in this note which provides the basis of Item No. 68020 in the Royal Aeronautical Society Aerodynamics Sub- Series of Data Items.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 74 , Issue 713 , May 1970 , pp. 393 - 396
Copyright
Copyright © Royal Aeronautical Society 1970 

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References

1. Spalding, D. B. and Chi, S. W. The Drag of a Compressible Turbulent Boundary Layer on a Smooth Flat Plate With and Without Heat Transfer. J. Fluid Mech, Vol 18, Part 1, pp 117–143, 1964.Google Scholar
2. Smith, D. W. and Walker, J. H. Skin-friction Measurements in Incompressible Flow. NASA TR R-26. 1959.Google Scholar
3. Schultz-Grunow, F. New Frictional Resistance Law for Smooth Plates. NACA TM 986, 1941.Google Scholar
4. Wieghardt, K. and Tillman, W. On the Turbulent Friction Layer for Rising Pressure. NACA TM 1314, 1951.Google Scholar
5. Nikurasae, J. Turbulente Reibungsschichten an der Platte. Herausgegeben von der Zentrale für wissenschaftliches Berichtswesen der Luftfahrtforschung des Generalluftzugmeistere (ZWB) Berlin-Aldershof. Copyright 1942 by R. Oldenbourg, Munich and Berlin.Google Scholar
6. Winter, K. G., Smith, K. G. and Gaudet, L. Measurements of Turbulent Skin Friction at High Reynolds Numbers at Mach numbers of 0-2 and 2-2. Recent Developments in Boundary-Layer Research, Pt 1, AGARDograph 97, May 1965, pp 97-124.Google Scholar
7. Spalding, D. B., Auslander, D. M., Sundaram, T. R. The Calculation of Heat and Mass Transfer through the Turbulent Boundary Layer on a Flat Plate at High Mach Numbers, With and Without Chemical Reaction. Supersonic Flow, Chemical Processes and Radiative Transfer, Pergamon Press, 1964.Google Scholar
8. Coles, D. Measurements in the Boundary Layer on a Smooth Flat Plate in Supersonic Flow. I. The Problem of the Turbulent Boundary Layer. Rep 20-69, CIT Jet Propulsion Lab, Pasadena, 1953.Google Scholar
9. Monaghan, R. J. On the Behaviour of Boundary Layers at Supersonic Speeds. Paper presented at 5th International Aeronautical Conference, Los Angeles, 1955.Google Scholar
10. Monaghan, R. J. and Cooke, J. R. The Measurement of Heat Transfer and Skin Friction at Supersonic Speeds. Part III Measurements of Overall Heat Transfer and of the Associated Boundary Layers on a Flat Plate at M, = 2.43, ARCCP 139, 1953.Google Scholar
11. Korkegi, R. H. Transition Studies and Skin-friction Measurements on an Insulated Flat Plate at Mach Number of 5.8. J Aero Sci, Vol 23, No 2, pp 97–107, 1956.Google Scholar
12. Monaghan, R. J. and Johnson, J. E. The Measurement of Heat Transfer and Skin Friction at Supersonic Speeds. Part II Boundary Layer Measurements on a Flat Plate at M=2.5 and Zero Heat Transfer. ARC CP 64, 1952.Google Scholar
13. Monaghan, R. J. and Cooke, J. R. The Measurement of Heat Transfer and Skin Friction at Supersonic Speeds. Part IV Tests on a Flat Plate at M=2.82. ARC CP 140, 1953.Google Scholar
14. Wilson, R. E. Turbulent Boundary-Layer Characteristics at Supersonic Speeds—Theory and Experiment. J. Aero Sci, Vol 17, No 9, pp 585–594, 1950.Google Scholar
15. Rubesin, M. W., Maydew, R. C. and Varga, S. A. An Analytical and Experimental Investigation of the Skin Friction of the Turbulent Boundary Layer on a Flat Plate at Supersonic Speeds. NACA TN 2305, 1950.Google Scholar
16. Bartle, E. R. and Leadon, B. M. The Compressible Turbulent Boundary Layer on a Flat Plate With Transpiration Cooling. I. Measurements of Heat Transfer and Boundary Layer Profiles. Convair Scientific Research Laboratory Rep No 11, 1961.Google Scholar
17. Moore, D. R. and Harkness, J. Experimental Investigation of the Compressible Turbulent Boundary Layer at Very High Reynolds Numbers, M=2.8. AIAA Paper 64-592. Presented at AIAA Transport Aircraft Design and Operations Meeting, Seattle, Washington, 10th-12th August 1964.Google Scholar
18. Coles, D. Measurements in the Boundary Layer on a Smooth Flat Plate in Supersonic Flow. III. Measurements in a Flat Plate Boundary Layer at the Jet Propulsion Laboratory. Jet Propulsion Laboratory Rep No. 20-71, 1953.Google Scholar
19. Shutts, W.H. Hartwig, W. H. and Weiler, J. E. Final Report on Turbulent Boundary Layer and Skin Friction Measurements on a Smooth, Thermally Insulated Flat Plate at Supersonic Speeds. DRL-364, CM-823 (Contract Nord—9195), University of Texas, 1955.Google Scholar
20. Stalmach, C. J. Experimental Investigation of the Surface Impact Pressure Probe Method of Measuring Local Skin Friction at Supersonic Speeds. DRL-410, CF-2675, University of Texas, 1958.Google Scholar
21. Pappas, C. C. Measurement of Heat Transfer in the Turbulent Boundary Layer on a Flat Plate in Supersonic Flow and Comparison With Skin Friction Results. NACA TN 3222, 1954.Google Scholar
22. Jeromin, L. O. F. An Experimental Investigation of the Compressible Turbulent Boundary Layer With Air Injection ARC 28, 549, 1966.Google Scholar
23. Winkler, E. M. Investigation of Flat-Plate, Hypersonic Turbulent Boundary Layers With Heat Transfer. Trans ASME(E), p 323, September 1961.Google Scholar
24. Dutton, R. A. The Accuracy of Measurement of Turbulent Skin Friction by Means of Surface Pitot-tubes and and the Distribution of Skin Friction on a Flat Plate. ARC R and M 3058, 1956.Google Scholar
25. Gadd, G. E., Cope, W. F. and Attridge, J. L. Heat Transfer and Skin Friction Measurements at a Mach Number of 2.44 for a Turbulent Boundary Layer on a Flat Surface and in Regions of Separated Flow. ARC 20, 472, 1958.Google Scholar
26. McRee, D. I., Peterson, J. B. and Braslow, A. L. Effect of Air Injection Through a Porous Surface and Through Slots on Turbulent Skin Friction at Mach 3. NASA TN D-2427, 1964.Google Scholar
27. Spalding, D. B. A New Analytical Expression for the Drag of a Flat Plate Valid for Both the Turbulent and Laminar Regimes, lnt J Heat Mass Transfer, Vol 5, pp 1133–1138, 1962.Google Scholar
28. Spalding, D. B. A Single Formula for the “Law of the Wall”. J Appl Mech, pp 455–458, September 1961.Google Scholar