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Turbulent flow with heat transfer in plane and curved wall jets

Published online by Cambridge University Press:  20 April 2006

T. Dakos ,
C. A. Verriopoulos  and
M. M. Gibson
T. Dakos
Affiliation:
Fluids Section, Mechanical Engineering Department, Imperial College of Science and Technology, Exhibition Road, London SW7 2BX
C. A. Verriopoulos
Affiliation:
Fluids Section, Mechanical Engineering Department, Imperial College of Science and Technology, Exhibition Road, London SW7 2BX
M. M. Gibson
Affiliation:
Fluids Section, Mechanical Engineering Department, Imperial College of Science and Technology, Exhibition Road, London SW7 2BX
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Abstract

Extensive single-point turbulence measurements made in a heated wall jet on a convex wall, and in an equivalent plane flow, show that the turbulence structure and the transfer of heat and momentum are affected by wall curvature. In the curved wall jet the points of zero shear stress and zero streamwise heat flux are displaced further from the point of maximum velocity, the Stanton number for heat transfer from the surface is reduced more than the skin-friction coefficient, and temperature profiles in the inner layer depart from the flat-flow wall law. The shear stress, turbulent intensities and turbulent heat fluxes are reduced by stabilizing curvature in the inner layer and increased by destabilizing curvature in the outer flow. The largest changes occur in the triple products, which are nearly doubled by destabilizing curvature.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 145 , August 1984 , pp. 339 - 360
Copyright
© 1984 Cambridge University Press

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References

Alcakaz, E. 1977 Contribution à 1’étude d'un jet plan turbulent évoluant le long d'une paroi convexe a faible courburé. Thesis, Université de Lyon.
Bradshaw, P. 1966 The effect of initial conditions on the development of a free shear layer. J. Fluid Mech. 26, 225.Google Scholar
Badshaw, P. 1969 The analogy between streamline curvature and buoyancy in turbulent shear flow. J. Fluid Mech. 36, 177.Google Scholar
Bradshaw, P. 1973 Effects of streamwise curvature on turbulent flow. AGARDograph 169.Google Scholar
Coles, D. C. & Hirst, E. A. 1968 Computation of turbulent boundary layers. In Proc. AFOSR—IFP—Stanford Conf, vol. 2, p. 47.
East, L. F. 1981 A representation of second-order boundary layer effects in the momentum integral equation and in viscous—inviscid interactions. RAE TR 81002.Google Scholar
Gibson, M. M. 1978 An algebraic stress and heat flux model for turbulent shear flow with streamline curvature. Intl J. Heat Mass Transfer 21, 1609.Google Scholar
Gibson, M. M., Verriopoulos, C. A. & Nagano, Y. 1982 Measurements in the heated turbulent boundary layer on a mildly curved convex surface. In Turbulent Shear Flows 3 (ed. L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), p. 80. Springer.
Gibson, M. M. & Verriopoulos, C. A. 1984 Turbulent boundary layer on a mildly curved convex surface: II, Temperature field measurements. Expts Fluids 2, 73.Google Scholar
Gibson, M. M., Verrioupoulos, C. A. & Vlachos, N. S. 1984 Turbulent boundary layer on a mildly curved convex surface: I, Mean flow and turbulence measurements. Expts Fluids 2, 17.Google Scholar
Gibson, M. M. & Younis, B. A. 1982 Modelling the curved turbulent wall jet. AIAA J. 20, 1707.Google Scholar
Gibson, M. M. & Younis, B. A. 1983 Turbulence measurements in a developing mixing layer with mild destabilizing curvature. Expts Fluids 1, 23.Google Scholar
Guitton, D. E. & Newman, B. G. 1977 Self-preserving turbulent wall jets over convex surfaces. J. Fluid Mech. 81, 155.Google Scholar
Hammond, G. P. 1982 Complete velocity profile and optimum skin friction formulae for the plane wall jet. Trans. ASME I: J. Fluids Engng 104, 59.Google Scholar
Irwin, H. P. A. H. 1973 Measurements in a self-preserving plane wall jet in a positive pressure gradient. J. Fluid Mech. 61, 33.Google Scholar
Kacker, S. C. and Whitelaw, J. H. 1971 The turbulence characteristics of two-dimensional wall-jet and wall-wake flows. Trans. ASME E: J. Appl. Mech. 38, 7.Google Scholar
Kader, B. A. & Yaglom, A. M. 1972 Heat and mass transfer laws for fully turbulent wall flows. Intl J. Heat Mass Transfer 15, 2329.Google Scholar
Kreith, F. 1955 The influence of curvature on heat transfer to incompressible fluids. Mech. Engng 77, 265.Google Scholar
Kruka, V. & Eskinazi, S. 1964 The wall jet in a moving stream. J. Fluid Mech. 20, 555.Google Scholar
Launder, B. E. & Rodi, W. 1981 The turbulent wall jet. Prog. Aerospace Sci. 19, 81.Google Scholar
Mayle, R. E., Blair, M. F. & Kopper, F. C. 1979 Turbulent boundary layer heat transfer on curved surfaces. Trans. ASME C: J. Heat Transfer 101, 521.Google Scholar
Nizou, P. Y. 1981 Heat and momentum transfer in a plane turbulent wall jet. Trans. ASME C: J. Heat Transfer 103, 138.Google Scholar
Saripalli, K. R. & Simpson, R. L. 1980 Investigation of blown boundary layers with an improved wall jet system. NASA CR 3340.Google Scholar
Simon, T. W. & Moffat, R. J. 1979 Heat transfer through turbulent boundary layers—the effects of introduction of and recovery from convex curvature. ASME Paper 79–WA/GT–10.Google Scholar
Simon, T. W., Moffat, R. J., Johnston, J. P. & Kays, W. M. 1980 Turbulent boundary layer heat transfer experiments: convex curvature effects including introduction and recovery. Stanford Mech. Engng Rep. HMT-32.Google Scholar
Tailland, A. 1970 Contribution a l'étude d'un jet plan dirigé tangentiellement à une paroi plane. Thesis, Université de Lyon.
Thomann, H. 1968 Effect of streamwise wall curvature on heat transfer in a turbulent boundary layer. J. Fluid Mech. 33, 283.Google Scholar
Verriopoulos, C. A. 1983 Effects of convex surface curvature on heat transfer in turbulent flow. Ph.D. thesis, Imperial College.