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A numerical investigation into the effects of compressibility and total enthalpy difference on the development of a laminar free shear layer

Published online by Cambridge University Press:  29 March 2006

Peter W. Carpenter
Peter W. Carpenter
Affiliation:
Department of the Mechanics of Fluids, University of Manchester
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Abstract

A method is presented for integrating numerically the equations of motion for a compressible free shear layer developing from a boundary-layer profile of arbitrary shape. Sutherland's law is used to determine the coefficient of viscosity and the Prandtl number is taken as 0·72. Calculated results are reported for free-stream Mach numbers ranging from 0 to 10 and for stagnation-enthalpy ratios ranging from 0 to 5·0. The effects of varying the initial boundary-layer profile and of a discontinuity in temperature at the origin are also studied. The results include graphs showing the development of dividing-streamline velocity, of local Nusselt number, and of dividing-streamline location.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 50 , Issue 4 , 29 December 1971 , pp. 785 - 799
Copyright
© 1971 Cambridge University Press

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References

Batchelor, G. K. 1956 J. Fluid Mech. 1, 388.
Brown, W. B. & Donoughe, P. L. 1951 N.A.C.A. Tech. Note, 2479.
Carpenter, P. W. 1970 Ph.D. dissertation, Department of Aero. Eng., University of Cincinnati.
Chapman, D. R. 1949 N.A.C.A. Rep. no. 958.
Chapman, D. R. 1950 N.A.C.A. Rep. no. 1051.
Denison, M. R. & Baum, E. 1963 A.I.A.A. J. 1, 342.
Dorodnitsyn, A. A. 1962 In Advances in Aeronautical Sciences, vol. 3. Pergamon.
Evans, H. L. 1968 Laminar Boundary-Layer Theory. Addison-Wesley.
Falkner, V. M. & Skan, S. 1930 Aero. Res. Counc. R. & M. 1314.
Goldstein, S. 1930 Proc. Camb. Phil. Soc. 26, 1.
Korst, H. H. 1956 J. Appl. Mech. 23, 593.
Lock, R. C. 1951 Quart. J. Mech. Appl. Math. 4, 42.
Ting, L. 1959 J. Math. Phys. 38, 153.