Hostname: page-component-8448b6f56d-cfpbc Total loading time: 0 Render date: 2024-04-23T06:21:55.773Z Has data issue: false hasContentIssue false
  • English
  • Français

On solutions of the compressible laminar boundary-layer equations and their behaviour near separation

Published online by Cambridge University Press:  11 April 2006

T. Davies  and
G. Walker
T. Davies
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Liverpool, England
G. Walker
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Liverpool, England
Get access Rights & Permissions [Opens in a new window]

Abstract

A numerical solution of the two-dimensional compressible laminar boundary-layer equations up to the point of separation is presented. For a particular mainstream velocity distribution it is necessary to specify the surface temperature (or the heat flux across the surface), the suction velocity, the free-stream Mach number and the viscosity-temperature relationship for a solution to be generated. The effect upon the position of separation of a hot or cold wall and of varying the free-stream Mach number is given special emphasis. The variations of the skin friction, heat transfer and various boundary-layer thicknesses for compressible flow past a circular cylinder and for flow with a linearly retarded mainstream were found. The behaviour of the solutions close to separation is investigated. Known functions which model the skin friction and heat transfer are introduced and are used to match the numerical solutions with the Buckmaster (1970) expansions.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 80 , Issue 2 , 25 April 1977 , pp. 279 - 292
Copyright
© 1977 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

Brown, S. N. & Stewartson, K. 1969 Ann. Rev. Fluid Mech. 1, 45.
Buckmaster, J. 1970 J. Fluid Mech. 44, 237.
Catherall, D. & Mangler, K. W. 1966 J. Fluid Mech. 26, 163.
Cohen, C. B. & Reshotho, E. 1956 N.A.C.A. Rep. nos. 1293, 1294.
Davies, T. 1975 Ph.D. thesis. University of Liverpool. Goldstein, S. 1930 Proc. Camb. Phil. Soc. 26, 1.
Goldstein, S. 1948 Quart. J. Mech. Appl. Math. 1, 43.
Jones, C. W. 1948 Quart. J. Mech. Appl. Math. 1, 385.
Leigh, D. C. F. 1955 Proc. Camb. Phil. Soc. 51, 320.
Merkin, J. H. 1969 J. Fluid Mech. 35, 439.
Poots, G. 1960 Quart. J. Mech. Appl. Math. 13, 57.
Simasaki, T. 1956 Bull. Univ. Osaka, Pref. A4, 27.
Stewartson, K. 1949 Proc. Roy. Soc. A200, 84.
Stewartson, K. 1958 Quart. J. Mech. Appl. Math. 11, 399.
Stewartson, K. 1962 J. Fluid Mech. 12, 117.
Stewartson, K. 1975 S.I.A.M. J. Appl. Math. 28, 501.
Terrill, R. M. 1960 Phil. Trans. Roy. Soc. A253, 55.
Werle, M. J. & Senechal, G. D. 1973 J. Appl. Mech. 40, 679.
Wilks, G. 1974 J. Fluid Mech. 62, 359.
Supplementary material: PDF

Davies and Walker supplementary material

Tables 1-10

Download Davies and Walker supplementary material(PDF)
PDF 2.4 MB