Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-29T12:56:00.422Z Has data issue: false hasContentIssue false

The effects of a sound wave on the compressible boundary layer on a flat plate

Published online by Cambridge University Press:  28 March 2006

C. R. Illingworth
Affiliation:
Department of Mathematics, University of Manchester

Abstract

The boundary layer on a hot flat plate which is fixed at zero incidence in a slow stream carrying a progressive sound wave is investigated. Formulae are obtained for the skin friction and the heat transfer in the extreme cases when the frequency is very low and very high. In addition, different methods of simplifying the boundary layer equations in unsteady compressible flow are briefly compared.

Type
Research Article
Copyright
© 1958 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

Chapman, D. R. & Rubesin, M. W. 1949 J. Aero. Sci. 16, 547.
Gibellato, S. 1955 Atti Accad. Sci. Torino Cl. Sci. Fio Mat. Nat. 89, 180.
Howarth, L. 1948 Proc. Roy. Soc. A, 194, 16.
Howarth, L. (Ed.) 1953 Modern Developments in Fluid Dynamics. High Speed Flow. Oxford: Clarendon Press.
Kármán, T. von & Tsien, H. S. 1938 J. Aero. Sci. 5, 227.
Lighthill, M. J. 1954 Proc. Roy. Soc. A, 224, 1.
Moore, F. K. 1951 Nat. Adv. Comm. Aero., Wash., Tech. Note no. 2471.
Ostrach, S. 1955 Nat. Adv. Comm. Aero., Wash., Tech. Note no. 3569.
Rayleigh, Lord 1894 The Theory of Sound, 2nd Ed. London: Macmillan.
Schlichting, H. 1955 Boundary Layer Theory. London: Pergamon Press.