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Skin Friction and Heat Transfer at an Infinite Swept Attachment Line

Published online by Cambridge University Press:  07 June 2016

D.I.A. Poll*
Affiliation:
College of Aeronautics, Cranfield Institute of Technology
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Summary

Simple, yet reasonably accurate, expressions have been developed for the prediction of skin friction and heat transfer coefficient at an infinite swept attachment line using the concepts of ‘reference temperature’ and ‘Reynolds analogy’. The formulae have then been used to investigate the effect of varying sweep angle with constant undisturbed free stream conditions in the limits of very low and very high Mach number.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society. 1981

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References

1 Poll, D.I.A. Transition in the infinite swept attachment line boundary layer. The Aeronautical Quarterly, Vol. XXX, pp 607629, November 1979 Google Scholar
2 Reshotko, E. and Beckwith, I.E. Compressible laminar boundary layer over a yawed infinite cylinder with heat transfer and arbitrary Prandtl number. NACA Report 1379, 1958 Google Scholar
3 Beckwith, I.E. Similar solutions for the compressible boundary layer on a yawed cylinder with transpiration cooling. NASA TR R-42, 1959 Google Scholar
4 Cumpsty, N.A. and Head, M.R. The calculation of three dimensional boundary layers. Part II attachment line flow on an infinite swept wing. The Aeronautical Quarterly, Vol. XVIII, pp 150164, May 1967 Google Scholar
5 Beckwith, I.E. and Gallagher, J.J. Local heat transfer and recovery temperatures on a yawed cylinder at a Mach number of 4.15 and high Reynolds numbers. NASA TR R-104, 1961 Google Scholar
6 Hunt, J.L., Bushnell, D.M. and Beckwith, I.E. The compressible turbulent boundary layer on a blunt swept slab with and without leading edge blowing. NASA TN D-6203, March 1971 Google Scholar
7 Bradley, R.G. Approximate solutions for compressible turbulent boundary layers in three-dimensional flow. AIAA Journal, Vol. 6, No. 2, pp 859864, May 1968.Google Scholar
8 Eckert, E.R.G. Engineering relations for friction and heat transfer to surfaces in high velocity flows. Journal of the Aeronautical Sciences, Vol. 22, pp 585587, August 1955 Google Scholar
9 Zoby, E.V. and Graves, R.A. Comparison of turbulent prediction methods with ground and flight test data. AIAA Journal, Vol. 15, No. 7, pp 901902, July 1977.Google Scholar
10 Rosenhead, L. (ed) Laminar Boundary Layers. Oxford University Press, 1963 Google Scholar
11 Cumpsty, N.A. and Head, M.R. The calculation of the three-dimensional turbulent boundary layer. Part III Comparison of attachment line calculations with experiment. The Aeronautical Quarterly, Vol. XX, pp 99113, May 1969 Google Scholar
12 Poll, D.I.A. Some aspects of the flow near a swept attachment line with particular reference to boundary layer transition. College of Aeronautics Report 7805, August 1978 Google Scholar
13 Cumpsty, N.A. Private communication, April 1977 Google Scholar
14 Brun, E.A., Diep, G-B and Le Fur, B. Transport de chaleur et de masse sur des cylindres circulaires en flèche dans un écoulement supersonique. Recent Developments in Boundary Layer Research - Part 2, AGARDograph 97, May 1965 Google Scholar
15 Bushnell, D.M. Interference heating on a swept cylinder in region of intersection with a wedge at Mach number 8. NASA TN D-3094, December 1965 Google Scholar
16 Bushnell, D.M. and Huffman, J.K. Investigation of heat transfer to leading edge of a 76° swept fin with and without slots and correlations of swept-leading-edge transition data for Mach 2 to 8. NASA TM X-1475, December 1967 Google Scholar
17 Beckwith, I.E. Experimental investigation of heat transfer and pressures on a swept cylinder in the vicinity of its intersection with a wedge and flat plate at Mach number 4.15 and high Reynolds number. NASA TN D-2020, July 1964 Google Scholar
18 Jones, R.A. Heat transfer and pressure investigation of a finplate interference model at a Mach number of 6, NASA TN D-2028, July 1964 Google Scholar
19 Keyes, F.G. A summary of viscosity and heat conduction data for He, A, H2, 02, N2, CO, C02, H20 and air. Transactions of the ASME, Vol. 73, pp 589596, July, 1951 Google Scholar
20 Poll, D.I.A. A simple method for the prediction of skin friction and heat transfer rate at an infinite swept attachment line. College of Aeronautics Report 8006, 1981 Google Scholar
21 Goldstein, S. (ed) Modern Developments in Fluid Dynamics - Vol. II First Edition, Dover, 1965 Google Scholar
22 Beckwith, I.E. Comments on Crocco’s solution and the Independence Principle for compressible turbulent boundary layers, AIM Journal, Vol. 12, No. 2, pp 245247, February 1974 Google Scholar
23 Achenbach, E. Total and local heat transfer from a smooth circular cylinder in cross-flow at high Reynolds number. International Journal of Beat and Mass Transfer, Vol. 18, pp 138F1396, 1975 Google Scholar
24 Stollery, J.L. Supersonic turbulent boundary layers: Some comparisons between experiment and a simple theory. The Aeronautical Quarterly, Vol. 27, pp 8798, May 1976 Google Scholar
25 Poll, D.I.A. Approximate solutions of the infinite swept attachment line momentum integral equations. College of Aeronautics Report 8104, 1981 Google Scholar
26 Smith, P.D. A calculation method for the turbulent boundary layer on an infinite yawed wing in compressible, adiabatic flow. A.R.C. Current Paper, No. 1268, September 1972 Google Scholar