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Similarity laws for turbulent boundary layers with suction or injection

Published online by Cambridge University Press:  28 March 2006

H. Tennekes
H. Tennekes*
Affiliation:
Aeronautical Engineering Department, Technological University, Delft, The Netherlands
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Extract

The concept of a law of the wall and a velocity defect law which are related to each other through a common velocity scale and a semilogarithmic velocity profile in the region where they overlap, can be applied successfully to turbulent boundary layers with suction or injection. For turbulent boundary layers at moderate suction rates the velocity scale is proportional to $u_{r}^{2}/{{\nu }_{0}}$. For layers at arbitrary suction or blowing rates the velocity scale, which has been determined empirically, is proportional to (ur + 9v0).

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 21 , Issue 4 , April 1965 , pp. 689 - 703
Copyright
Copyright © Cambridge University Press 1965

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References

Black, T. J. & Sarnecki, A. J. 1958 The turbulent boundary layer with suction or injection. Aero. Res. Counc., Lond., Rep. no. 20, 501.Google Scholar
Clarke, J. H., Menkes, H. R. & Libby, P. A. 1955 A provisional analysis of turbulent boundary layers with injection. J. Aero. Sci. 22, 255.Google Scholar
Clauser, F. H. 1954 Turbulent boundary layers in adverse pressure gradients. J. Aero. Sci. 21, 91.Google Scholar
Clauser, F. H. 1956 The turbulent boundary layer. Adv. Appl. Mech. 4, 1.CrossRefGoogle Scholar
Coles, D. 1956 The law of the wake in the turbulent boundary layer. J. Fluid Mech. 1, 191.Google Scholar
Cornish, J. J. 1960 A universal description of turbulent boundary layer flow with or without transpiration. Aeroph. Dep., Miss. State Univ., Res. Rep. 29.Google Scholar
Dorrance, W. H. & Dore, F. J. 1954 The effect of mass transfer on the compressible turbulent boundary layer skin friction and heat transfer. J. Aero. Sci. 21, 404.Google Scholar
Dutton, R. A. 1958 The effects of distributed suction on the development of turbulent boundary layers. Aero. Res. Counc., Lond., Rep. no. 20, 036.Google Scholar
Favre, A., Dumas, R. & Verollet, E. 1961 Couche limite sur paroi plane poreuse avec aspiration. Publ. Sci. Tech. Min. de l'Air, Rep. no. 377.Google Scholar
Griffith, A. A. & Meredith, F. W. 1936 Possible improvement in aircraft performance due to use of boundary layer suction. Aero. Res. Counc., Lond., Rep. no. 2315.Google Scholar
Kay, J. M. 1948 Boundary layer flow with uniform suction. Aero. Res. Counc., Lond., R & M no. 2628.Google Scholar
Mickley, H. S. & Davies, R. S. 1957 Momentum transfer over a flat plate with blowing. Nat. Adv. Comm. Aero., Wash., Tech. Note no. 4017.Google Scholar
Mickley, H. S. & Smith, K. A. 1963 Velocity defect law for a transpired turbulent boundary layer. AIAA J. 1, 1685.Google Scholar
Millikan, C. B. 1938 A critical discussion of turbulent flows in channels and circular tubes. Proc. Vth Int. Congr. Appl. Mech., p. 386. Cambridge, Mass.Google Scholar
Prandtl, L. 1935 The mechanics of viscous fluids. Sect. G in: Durand, W. F., Aerodynamic Theory, vol. III. Berlin: Springer.CrossRefGoogle Scholar
Rotta, J. C. 1962 Turbulent boundary layers in incompressible flow. Progr. Aero. Sci. 2, 1.CrossRefGoogle Scholar
Rubesin, M. W. 1954 An analytical estimation of the effect of transpiration cooling on the heat-transfer and skin-friction characteristics of a compressible turbulent boundary layer. Nat. Adv. Comm. Aero., Wash., Tech. Note no. 3341.Google Scholar
Sarnecki, A. J. 1959 The turbulent boundary layer on a permeable surface. Ph.D. Thesis, University of Cambridge.Google Scholar
Stevenson, T. N. 1963a A law of the wall for turbulent boundary layers with suction or injection. Coll. Aero. Cranfield, Rep. Aero no. 166.Google Scholar
Stevenson, T. N. 1963b A modified velocity defect law for turbulent boundary layers with injection. Coll. Aero. Cranfield, Rep. Aero no. 170.Google Scholar
Tennekes, H. 1964a Comment on: velocity defect law for a transpired turbulent boundary layer. AIAA J. 2, 414.CrossRefGoogle Scholar
Tennekes, H. 1964b Similarity laws for turbulent boundary layers with suction or injection. Dissertation, Technological University of Delft.Google Scholar
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.Google Scholar
Townsend, A. A. 1961 Equilibrium layers and wall turbulence. J. Fluid Mech. 11, 97.Google Scholar