Hostname: page-component-7c8c6479df-fqc5m Total loading time: 0 Render date: 2024-03-28T16:06:25.480Z Has data issue: false hasContentIssue false

Three-dimensional laminar compressible boundary layers with large injection

Published online by Cambridge University Press:  29 March 2006

C. S. Vimala
Affiliation:
Department of Applied Mathematics, Indian Institute of Science, Bangalore 560012 Present address: Aerodynamics Division, National Aeronautical Laboratory, Bangalore.
G. Nath
Affiliation:
Department of Applied Mathematics, Indian Institute of Science, Bangalore 560012

Abstract

The effect of large mass injection on the following three-dimensional laminar compressible boundary-layer flows is investigated by employing the method of matched asymptotic expansions: (i) swirling flow in a laminar compressible boundary layer over an axisymmetric surface with variable cross-section and (ii) laminar compressible boundary-layer flow over a yawed infinite wing in a hypersonic flow. The resulting equations are solved numerically by combining the finite-difference technique with quasi-linearization. An increase in the swirl parameter, the yaw angle or the wall temperature is found to be capable of bringing the viscous layer nearer the surface and reducing the effects of massive blowing.

Type
Research Article
Copyright
© 1975 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

Aroesty, J. & Cole, J. D. 1965 Boundary-layer flows with large injection rates. Rand Corp. Rep. RM 4620.Google Scholar
Back, L. H. 1969 Flow and heat transfer in laminar boundary layers with swirl. A.I.A.A. J. 7, 1781.Google Scholar
Kassoy, D. R. 1971 On laminar boundary-layer blow-off. J. Fluid Mech. 48, 209.Google Scholar
Kubota, T. & Fernandez, F. L. 1968 Boundary layer flows with large injection and heat transfer. A.I.A.A. J. 6, 22.Google Scholar
Liu, T. M. & Nachtsheim, P. R. 1973 Shooting method for solution of boundary layer flows with massive blowing. A.I.A.A. J. 11, 1584.Google Scholar
Nachtsheim, P. R. & Green, M. J. 1971 Numerical solution of boundary-layer flows with massive blowing. A.I.A.A. J. 9, 533.Google Scholar
Pretsch, J. 1944 Analytic solution of the laminar boundary layer with asymptotic suction and injection. Z. angew. Math. Mech. 24, 264.Google Scholar
Reshotko, E. & Beckwith, I. E. 1957 Compressible laminar boundary layer over a yawed infinite cylinder with heat transfer and arbitrary Prandtl number. N.A.C.A. Tech. Note, no. 3986.Google Scholar
Vimala, C. S. 1974 Flow problems in laminar compressible boundary layers. Ph.D. thesis, Indian Institute of Science, Bangalore
Walton, I. C. 1973 Boundary-layer flows at a three-dimensional stagnation point with strong blowing. Quart. J. Mech. Appl. Math. 16, 413.Google Scholar
Watson, E. J. 1966 The equation of similar profiles in boundary-layer theory with strong blowing. Proc. Roy. Soc. A 294, 208.Google Scholar
Whalen, R. J. 1959 Boundary-layer interaction on a yawed infinite wing in hypersonic flow. J. Aerospace Sci. 26, 839.Google Scholar