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Some dynamical effects of heat on a turbulent boundary layer

Published online by Cambridge University Press:  29 March 2006

C. I. H. Nicholl
C. I. H. Nicholl
Affiliation:
Cavendish Laboratory, University of Cambridge Present address: Department of Mechanical Engineering, Laval University, Quebec.
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Abstract

The dynamical effects of a sudden increase of as much as 100°C in boundary temperature upon fully turbulent boundary layers at low Reynolds numbers in air have been investigated in a wind tunnel. A section of the floor or the roof of the tunnel could be heated, so that the rate of working of gravitational forces on the turbulence could be made to represent either a gain or a loss of turbulent mechanical energy. Techniques of hot-wire anemometry were employed which enabled the instantaneous temperature and the instantaneous velocity to be measured simultaneously at a point in the non-homogeneous turbulent flow field.

In the case of a strong discontinuity in the floor temperature, a fine-scale convective structure developed from the highly unstable interface between the heated air just above the surface and the turbulent boundary layer; and the motion in this region was sufficiently vigorous that the mean pressure in the vicinity of the floor was reduced and a local wall jet was generated. The deduced pressure distribution is regarded as evidence of coupling between the free and forced convection modes which may lead to a series of local wall jets downstream of the discontinuity.

In the case of a strong discontinuity in the roof temperature, the interface between the heated air and the turbulent boundary layer was stable; and the boundary-layer turbulence, acting to spread this stable gradient over the vertical extent of the boundary layer, was required to do work against the gravitational field. A rate of working against gravity which was an order of magnitude less than the rate of supply of turbulent energy from the mean shear proved sufficient to suppress the turbulence in a very short time.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 40 , Issue 2 , 3 February 1970 , pp. 361 - 384
Copyright
© 1970 Cambridge University Press

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References

Batchelor, G. K. 1953 Quart. J. Roy. Met. Soc. 79, 223.
Clauser, F. H. 1954 J. Aero. Sci. 21, 91.
Ellison, T. H. 1957 J. Fluid Mech. 2, 456.
Johnson, D. S. 1957 J. Appl. Mech. 24, 2.
Klebanoff, P. S. 1954 N.A.C.A. Tech. Note 3178.
Priestley, C. H. B. 1954 Australian J. Phys. 7, 176.
Rankine, A. O. 1950 Proc. Phys. Soc. Lond. B 63, 225.
Richardson, L. F. 1920 Proc. Roy. Soc. Lond. A 97, 354.
Stewart, R. W. 1951 Proc. Camb. Phil. Soc. 47, 146.
Thomas, D. & Townsend, A. A. 1957 J. Fluid Mech. 2, 473.
Townsend, A. A. 1947 Proc. Camb. Phil. Soc. 43, 560.
Townsend, A. A. 1951 Proc. Roy. Soc. Lond. A 209, 418.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.
Townsend, A. A. 1957 J. Fluid Mech. 3, 361.
Zeytounian, R. K. 1968 La Recherche Aérospatiale, 127, 4.