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Temperature fluctuations and heat flux in grid-generated isotropic turbulence with streamwise and transverse mean-temperature gradients

Published online by Cambridge University Press:  20 April 2006

R. Budwig ,
S. Tavoularis  and
S. Corrsin
R. Budwig
Affiliation:
Department of Chemical Engineering, The Johns Hopkins University, Baltimore, Maryland 21218 Present address: Department of Mechanical Engineering, University of Idaho, Moscow, Idaho, 83843 U.S.A.
S. Tavoularis
Affiliation:
Department of Mechanical Engineering, University of Ottawa, Ottawa, Ontario K1N 6N5
S. Corrsin
Affiliation:
Department of Chemical Engineering, The Johns Hopkins University, Baltimore, Maryland 21218
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Abstract

A screen of closely spaced, parallel, thin wires was placed downstream of a grid generating nearly isotropic turbulence. The screen was normal to the flow and was heated in one of two modes: (1) periodically in time, to generate a train of transversely uniform streamwise thermal ramps, each with a uniform streamwise gradient, and (2) steadily, with transverse non-uniformity, to generate a uniform transverse thermal ramp. The simple temperature and temperature-gradient fluctuation statistical properties in both cases were found to be comparable to those encountered in earlier works with a steadily heated grid producing a uniform transverse thermal ramp. In both modes of heating the temperature fluctuations decreased initially behind the screen and then increased monotonically. The turbulent-heat-transfer correlation coefficient attained an asymptotic magnitude between 0.7 and 0.8 for both modes of heating. The skewness of the temperature-fluctuation derivative in the direction of the mean gradient was founded to be non-zero despite the absence of mean shear.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 153 , April 1985 , pp. 441 - 460
Copyright
© 1985 Cambridge University Press

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References

Alexopoulos, C. G. & Keffer, J. F. 1971 Turbulent wake in a passively stratified field. Phys. Fluids 14, 216.Google Scholar
Antonia, R. A., Chambers, A. J., Van Atta, C. W., Friehe, C. A. & Helland, K. N. 1978 Skewness of temperature derivative in a heated grid flow. Phys. Fluids 21, 509.Google Scholar
Champagne, F. H. 1978 The fine-scale structure of the turbulent velocity field. J. Fluid Mech. 86, 67.Google Scholar
Corrsin, S. 1951 The decay of isotropic temperature fluctuations in an isotropic turbulence. J. Aero. Sci. 18, 417.Google Scholar
Corrsin, S. 1952 Heat transfer in isotropic turbulence. J. Appl. Phys. 23, 113.Google Scholar
Freymuth, P. & Uberoi, M. S. 1971 Structure of temperature fluctuations in the turbulent wake behind a heated cylinder. Phys. Fluids 14, 2574.Google Scholar
Gibson, C. H., Friehe, C. A. & McConnell, O. 1977 Structure of sheared turbulent fields. Phys. Fluids Suppl. 20, S156.Google Scholar
Gibson, C. H., Stegen, G. R. & Williams, R. B. 1970 Statistics of the fine structure of turbulent velocity and temperature fields measured at high Reynolds number. J. Fluid Mech. 41, 153.Google Scholar
Hinze, J. O. 1975 Turbulence, 2nd edn. McGraw-Hill.
Højstrup, J., Rasmussen, K. & Larson, S. E. 1976 Dynamic calibration of temperature wires in still air. DISA Info. 20, 22.Google Scholar
Kellogg, R. M. & Corrsin, S. 1979 Evolution of a spectrally local disturbance in grid-generated, nearly isotropic turbulence. J. Fluid Mech. 96, 641.Google Scholar
Kolmogorov, A. N. 1941 The local structure of turbulence in incompressible viscous fluid for very large Reynolds number. C.R. Acad. Sci. URSS 30, 301.Google Scholar
Larcheveque, M., Chollet, J. P., Herring, J. R., Lesieur, M., Newman, G. R. & Schertzer, D. 1980 Two-point closure applied to a passive scalar in decaying isotropic turbulence. In Turbulent Shear Flows 2 (ed. L. J. S. Bradbury, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw). Springer.
La Rue, J. C., Deaton, T. & Gibson, C. H. 1975 Measurement of high frequency turbulent temperature. Rev. Sci. Instrum. 46, 757.Google Scholar
Mestayer, R. 1982 Local isotropy and anisotropy in a high-Reynolds-number turbulent boundary layer. J. Fluid Mech. 125, 475.Google Scholar
Oboukhov, A. M. 1949 Structures of the temperature field in turbulent flow. Izv. Akad. Nauk S.S.S.R., Ser. Geogr. i Geofiz. 13, 58.Google Scholar
O'Brien, E. E.1962 Turbulent transport of a passive scalar with a variable mean gradient. Phys. Fluids 5, 656.Google Scholar
Rose, W. G. 1966 Results of an attempt to generate a homogeneous turbulent shear flow. J. Fluid Mech. 25, 97.Google Scholar
Shirani, E., Ferziger, J. H. & Reynolds, W. C. 1981 Mixing of a passive scalar in isotropic and sheared homogeneous turbulence. Stanford Thermosci. Div. Tech. Rep. TF-15.Google Scholar
Sirivat, A. & Warhaft, Z. 1982 The mixing of passive helium and temperature fluctuations in grid turbulence. J. Fluid Mech. 120, 475.Google Scholar
Sirivat, A. & Warhaft, Z. 1983 The effect of a passive cross-stream temperature gradient on the evolution of temperature variance and heat flux in grid turbulence. J. Fluid Mech. 128, 323.Google Scholar
Sreenivasan, K. R., Antonia, R. A. & Britz, D. 1979 Local isotropy and large structures in a heated turbulent jet. J. Fluid Mech. 94, 745.Google Scholar
Sreenivasan, K. R., Antonia, R. A. & Danh, H. Q. 1977 Temperature dissipation fluctuations in a turbulent boundary layer. Phys. Fluids 20, 1238.Google Scholar
Sreenivasan, K. R. & Tavoularis, S. 1980 On the skewness of the temperature derivative in turbulent flows. J. Fluid Mech. 101, 783.Google Scholar
Sreenivasan, K. R., Tavoularis, S., Henry, R. & Corrsin, S. 1980 Temperature fluctuations and scales in grid-generated turbulence. J. Fluid Mech. 100, 597.Google Scholar
Tavoularis, S. 1978a Experiments in turbulent transport and mixing. Ph.D. thesis, Johns Hopkins University.
Tavoularis, S. 1978b A circuit for the measurement of instantaneous temperature in heated turbulent flows. J. Sci. Instrum. 11, 21.Google Scholar
Tavoularis, S. & Corrsin, S. 1981 Experiments in nearly homogeneous turbulent shear flow with a uniform mean temperature gradient. Part 2. The fine structure. J. Fluid Mech. 104, 349.Google Scholar
Venkataramani, K. S. & Chevray, R. 1978 Statistical features of heat transport in grid-generated turbulence: constant-gradient case. J. Fluid Mech. 86, 513.Google Scholar
Warhaft, Z. & Lumley, J. L. 1978 An experimental study of the decay of temperature fluctuations in grid-generated turbulence. J. Fluid Mech. 88, 659.Google Scholar
Wiskind, H. K. 1962 A uniform gradient turbulent transport experiment. J. Geophys. Res. 67, 3033.Google Scholar