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High-speed laminar flow past a fin–body junction

Published online by Cambridge University Press:  15 November 2013

O. R. Tutty ,
G. T. Roberts  and
P. H. Schuricht
O. R. Tutty*
Affiliation:
Engineering and the Environment, University of Southampton, Highfield, Southampton SO17 1BJ, UK
G. T. Roberts
Affiliation:
Engineering and the Environment, University of Southampton, Highfield, Southampton SO17 1BJ, UK
P. H. Schuricht
Affiliation:
Engineering and the Environment, University of Southampton, Highfield, Southampton SO17 1BJ, UK
*
†Email address for correspondence: o.r.tutty@soton.ac.uk
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Abstract

Interference heating effects generated by a blunt fin-type protuberance on a flat plate exposed to a hypersonic flow have been investigated experimentally and numerically. Experiments and simulations were carried out at a free-stream Mach number of 6.7 under laminar flow conditions. The surface heating on the plate was measured experimentally using liquid-crystal thermography, which provided quantitative data with high spatial resolution. Complementary surface oil flow and schlieren experiments were also carried out to gain a better understanding of the interference flow field. The effects of fin leading-edge diameter on the heating distribution on the flat plate surface were explored. The results of the experiments and simulations agree well and reveal a highly complex interaction region which extends over seven diameters upstream of the fin. Within the interaction region surrounding the fin, heating enhancements up to ten times the undisturbed flat plate value were estimated from the experimental data. However, the liquid crystals have a limited range, and the numerical simulations indicated localized peak heating many times this value both on the plate and the fin itself.

JFM classification

Aerodynamics: High-speed flow Compressible Flows: Shock waves
Type
Papers
Information
Journal of Fluid Mechanics , Volume 737 , 25 December 2013 , pp. 19 - 55
Copyright
©2013 Cambridge University Press 

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References

Amaratunga, S., Tutty, O. R. & Roberts, G. T. 2000 High-speed flow with discontinuous surface catalysis. J. Fluid Mech. 420, 325–359.Google Scholar
Amick, J. L. 1961 Pressure measurements on sharp and blunt ${5}^{\circ } $ and $1{5}^{\circ } $ half cone at Mach number 3.86 and angles of attack to $10{0}^{\circ } $ . NASA TN D-173.Google Scholar
Anderson, J. D. 1989 Hypersonic and High Temperature Gas Dynamics. McGraw-Hill.Google Scholar
Anderson, J. D. 1990 Modern Compressible Flow. McGraw-Hill.Google Scholar
Babinsky, H. & Harvey, J. K. (Eds) 2011 Shock Wave–Boundary-Layer Interactions. Cambridge University Press.Google Scholar
Burcham, F. W. & Nugent, J. 1970 Local flow field around a pylon-mounted dummy ramjet engine on the x-15-2 for Mach numbers 2.0 to 6.7. NASA TN-D 5638.Google Scholar
Chapman, D. R., Kuehn, D. M. & Larson, H. K. 1957 Investigation of separated flows in supersonic and subsonic streams with emphasis on the effects of transition. NACA-TR-1356.Google Scholar
Delery, J. & Marvin, J. G. 1986 Shockwave boundary layer interactions. AGARD-AG-280.Google Scholar
Dolling, D. S. & Bogdanoff, S. M. 1981 Scaling of interactions of cylinders with supersonic turbulent boundary layers. AIAA J. 19, 655–657.Google Scholar
Dolling, D. S. & Bogdanoff, S. M. 1982 Blunt fin-induced shock wave/turbulent boundary layer interaction. AIAA J. 20, 1674.Google Scholar
Dolling, D. S. & Bogdanoff, S. M. 2001 Fifty years of shock-wave/boundary layer research? What next? AIAA J. 39, 1517.Google Scholar
Eckert, E. R. G. 1955 Engineering relations for skin friction and heat transfer to surfaces in high velocity flows. J. Aerosp. Sci. 22, 585–587.Google Scholar
Edney, B. E. 1968 Anomolous heat transfer and pressure distributions on blunt bodies at hypersonic speeds in the presence of an impinging shock. Tech. Rep. 115. FFA (Aeronautical Research Council of Sweden).CrossRefGoogle Scholar
Fay, J. A. & Riddell, F. R. 1958 Theory of stagnation point heat transfer in dissociated air. J. Aeronaut. Sci. 25, 73–85.Google Scholar
Haq, Z. U. 1993 Hypersonic vehicle interference heating. PhD thesis, Univ. of Southampton, Dept. of Aeronautics and Astronautics, Southampton, England.Google Scholar
Haq, Z., Roberts, G. T. & East, R. A. 1991 Interference heating near fin/body junctions on hypersonic vehicles. In Proceedings of the First European Symposium on Aerothermodynamics for Space Vehicles, pp. 171–176. European Space Agency SP-318.Google Scholar
Hayes, W. D. & Probstein, R. F. 1959 Hypersonic Flow Theory. Academic.Google Scholar
Hiers, R. S. & Loubsky, W. L. 1967 Effects of shockwave impingement on the heat transfer on a cylindrical leading edge. NASA TN-D 3859.Google Scholar
Holden, M. S. 1986 A review of aerothermal problems associated with hypersonic flight. AIAA Paper 86-0267.Google Scholar
Houwing, A. F. P., Smith, D. R., Fox, J. S & Mudford, N. R. 2001 Laminar boundary layer separation at a fin-body junction in a hypersonic flow. Shock Waves 11, 31.Google Scholar
Hung, C. M. & Buning, P. G. 1985 Simulation of blunt-fin-induced shock-wave and turbulent boundary-layer interaction. J. Fluid Mech. 154, 163.Google Scholar
Hung, F. T. & Clauss, J. M. 1981 Three-dimensional protuberance interference heating in high speed flow. Prog. Aeronaut. Astronaut. 77, 109–136.Google Scholar
Lakshmanan, B. & Tiwari, S. N. 1994 Investigation of three-dimensional separation at wing/body junctions in supersonic flows. AIAA J. Aircraft 31, 64.CrossRefGoogle Scholar
van Leer, B. 1979 Towards the ultimate conservative scheme v. A second-order sequel to Godunov. J. Comput. Phys. 32, 101–136.Google Scholar
Navarro-Martinez, S. 2002 Numerical simulation of laminar flow over hypersonic compression ramps. PhD thesis, University of Southampton.Google Scholar
Navarro-Martinez, S. & Tutty, O. R. 2005 Numerical simulation of Görtler vortices in hypersonic compression ramps. Comput. Fluids 34, 225–247.CrossRefGoogle Scholar
Özcan, O. & Holt, M. 1984 Supersonic separated flow past a cylindrical obstacle on a flat plate. AIAA J. 22, 611–617.CrossRefGoogle Scholar
Qaswari, A. M. S. 1977 Measurement of hypersonic dynmic stability of pitching blunt-nosed bodies in a short duration facility. PhD thesis, Univ. of Southampton, Dept. of Aeronautics and Astronautics, Southampton, England.Google Scholar
Quirk, J. J. 1994 A contribution to the great Riemann solver debate. Intl J. Numer. Meth. Fluids 18, 555–574.Google Scholar
Roberts, G. T. & East, R. A. 1996 Liquid crystal thermography for heat transfer measurement in hypersonic flows: a review. J. Spacecr. Rockets 33, 761–768.CrossRefGoogle Scholar
Roberts, G. T., Schuricht, P. H. & Mudford, N. R. 1998 Heating enhancement caused by a transverse control jet in hypersonic flow. Shock Waves 8, 105–112.Google Scholar
Rusanov, V. V. 1961 Calculation of interaction of non-steady shock waves with obstacles. J. Comput. Math. Phys. USSR 1, 267–279.Google Scholar
Schultz, D. L. & Jones, T. V. 1973 Heat transfer measurements in short-duration hypersonic facilities. AGARD-AG-165.Google Scholar
Schuricht, P. H. & Roberts, G. T. 1998 Hypersonic interference heating induced by a blunt fin. AIAA Paper 98-1579.Google Scholar
Shankar, P. N. & Deshpande, M. D. 2000 Fluid mechanics in the driven cavity. Annu. Rev. Fluid Mech. 32, 93–136.Google Scholar
Stollery, J. L. 1989 Glancing shock-boundary layer interactions. AGARD-R-764.Google Scholar
Toro, E. F., Spruce, M. & Speares, W. 1994 Restoration of the contact surface on the hll-Riemann solver. Shock Waves 4, 25–34.Google Scholar
Tutty, O. R., Roberts, G. T., East, R. A. & Huntington-Thresher, W. 1994 Numerical study of fin-body interference effects at hypersonic speeds. In Proceedings of 2nd European Symposium on Aerothermodynamics for Space Vehicles, vol. ESA SP-367, p. 51.Google Scholar
Yao, Y., Sandham, N. D. & Roberts, G. T. 2007 The effect of Mach number on unstable disturbances in shock/boundary-layer interactions. Phys. Fluids 19, 054104.Google Scholar