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Some mass transfer effects on the wall jet

Published online by Cambridge University Press:  28 March 2006

Herbert Fox  and
Martin H. Steiger
Herbert Fox
Affiliation:
Polytechnic Institute of Brooklyn
Martin H. Steiger
Affiliation:
Polytechnic Institute of Brooklyn
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Abstract

The wall jet with suction or injection is investigated; an analysis under conditions corresponding to similar flows is shown to reduce to an eigenvalue problem. Asymptotic solutions valid far from the surface are used to initiate the integration and circumvent the usual iteration associated with the two-point boundary-value problem. Typical solutions for various rates of suction and injection are obtained. It is found that the skin friction decreases with increasing rate of suction. Representative thermal solutions are obtained for Prandtl and Lewis numbers equal to one, under the special condition that the surface temperature is equal to the ambient temperature or that the enthalpy varies monotonically from the surface value to the ambient value.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 15 , Issue 4 , April 1963 , pp. 597 - 609
Copyright
© 1963 Cambridge University Press

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References

Bakke, P. 1957 An experimental investigation of a wall jet. J. Fluid Mech. 2, 467.Google Scholar
Bloom, M. H. & Steiger, M. H. 1958 Some compressibility and heat transfer characteristics of the wall jet. Proc. Third U.S. Nat. Congr. Appl. Mech. p, 717. Brown University.
Bloom, M. H. & Steiger, M. H. 1961 Perturbed boundary-layer solutions applied to the wall jet and Blasius profile. Dev. in Mech. 1, 588. Plenum Press: New York.Google Scholar
Crocco, L. 1946 The laminar boundary layer in gases. Monografie Scientifiche di Aeronautica, no. 3, Ministero della Defesa-Aeronautica, Rome; also Rep. CF-1038, Aerophysics Laboratory, North American Aviation, Inc. 1948.
Fox, H. & Libby, P. A. 1962 Helium injection into the boundary layer at an axisymmetric stagnation point. J. Aero. Sci. 29, 921.Google Scholar
George, A. 1959 An investigation of a wall jet in a free stream. Princeton University Rep. no. 479.Google Scholar
Gill, S. 1951 A process for the step-by-step integration of differential equations in an automatic digital computing machine. Proc. Camb. Phil. Soc. 47, 96.Google Scholar
Glauert, M. B. 1956 The wall jet. J. Fluid Mech. 1, 625.Google Scholar
Glauert, M. B. 1957 On laminar wall jets. Boundary Layer Research Symp. Freiburg/Br
Less, L. 1956 Laminar heat transfer over blunt-nosed bodies at hypersonic flight speeds. Jet Prop., 26, 259–69.Google Scholar
Libby, P. A. 1962 The homogeneous boundary layer at an axisymmetric stagnation point with large rates of injection. J. Aero. Sci. 29, 48.Google Scholar
Riley, N. 1958 Effects of compressibility on a laminar wall jet. J. Fluid Mech. 4, 615.Google Scholar
Schwarz, W. H. & Cosart, W. P. 1961 The two-dimensional turbulent wall jet. J. Fluid Mech. 10, 481.Google Scholar