Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-18T22:03:24.706Z Has data issue: false hasContentIssue false
  • English
  • Français

Response of a turbulent boundary layer to a step change in surface heat flux

Published online by Cambridge University Press:  11 April 2006

R. A. Antonia ,
H. Q. Danh  and
A. Prabhu
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Newcastle, New South Wales 2308, Australia
H. Q. Danh
Affiliation:
Department of Mechanical Engineering, University of Sydney, New South Wales 2006, Australia
A. Prabhu
Affiliation:
Department of Aeronautics, Indian Institute of Science, Bangalore 560012
Get access Rights & Permissions [Opens in a new window]

Abstract

Measurements of both the velocity and the temperature field have been made in the thermal layer that grows inside a turbulent boundary layer which is subjected to a small step change in surface heat flux. Upstream of the step, the wall heat flux is zero and the velocity boundary layer is nearly self-preserving. The thermal-layer measurements are discussed in the context of a self-preserving analysis for the temperature disturbance which grows underneath a thick external turbulent boundary layer. A logarithmic mean temperature profile is established downstream of the step but the budget for the mean-square temperature fluctuations shows that, in the inner region of the thermal layer, the production and dissipation of temperature fluctuations are not quite equal at the furthest downstream measurement station. The measurements for both the mean and the fluctuating temperature field indicate that the relaxation distance for the thermal layer is quite large, of the order of 1000θ0, where θ0 is the momentum thickness of the boundary layer at the step. Statistics of the thermal-layer interface and conditionally sampled measurements with respect to this interface are presented. Measurements of the temperature intermittency factor indicate that the interface is normally distributed with respect to its mean position. Near the step, the passive heat contaminant acts as an effective marker of the organized turbulence structure that has been observed in the wall region of a boundary layer. Accordingly, conditional averages of Reynolds stresses and heat fluxes measured in the heated part of the flow are considerably larger than the conventional averages when the temperature intermittency factor is small.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 80 , Issue 1 , 4 April 1977 , pp. 153 - 177
Copyright
© 1977 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Ali, S. F. & Kovasznay, L. S. G. 1974 Approach to self-preservation in a heated wake behind a flat plate. A.S.M.E. Paper, 74–WA/HT-35.
Antonia, R. A. 1972 Conditionally sampled measurements near the outer edge of a turbulent boundary layer. J. Fluid Mech. 56, 1.Google Scholar
Antonia, R. A. & Atkinson, J. D. 1974 Use of a pseudo-turbulent signal to calibrate an intermittency measuring circuit. J. Fluid Mech. 64, 679.Google Scholar
Antonia, R. A. & Luxton, R. E. 1971 The response of a turbulent boundary layer to a step change in surface roughness. Part 1. Smooth to rough. J. Fluid Mech. 48, 721.Google Scholar
Antonia, R. A., Prabhu, A. & Stephenson, S. E. 1975 Conditionally sampled measurements in a heated turbulent jet. J. Fluid Mech. 72, 455.Google Scholar
Blom, J. 1970 Experimental determination of the turbulent Prandtl number in a developing temperature boundary layer. 4th Int. Heat Transfer Conf., Paris — Versailles, vol. II, paper FC2.2.
Bradshaw, P. & Ferriss, D. H. 1968 Calculation of boundary layer development using the turbulent energy equation. IV. Heat transfer with small temperature differences. Nat. Phys. Lab. Rep. no. 1271.Google Scholar
Bradshaw, P., Ferriss, D. H. & Atwell, N. P. 1967 Calculation of boundary-layer development using the turbulent energy equation. J. Fluid Mech. 28, 593.Google Scholar
Charnay, G. 1974 Caractéristique d'une couche limite turbulente évoluant en présence d'un écoulement extérieur turbulent. Thèse Docteur ès Sciences, Université Claude Bernard, Lyon.
Corrsin, S. 1953 Remarks on turbulent heat transfer. Proc. 1st Iowa Symp. Thermodyn., State University of Iowa.
Dumas, R., Fulachier, L. & Arzoumanian, E. 1972 Facteurs d'intermittence et de dissymétrie des fluctuations de température et de vitesse dans une couche limite turbulente. C. R. Acad. Sci. Paris, A 274, 267.
Fulachier, L. 1972 Contribution à l’étude des analogies des champs dynamique et thermique dans une couche limite turbulente. Effet de l'aspiration. Thèse Docteur ès Sciences, Université de Provence.
Hedley, T. B. & Keffer, J. F. 1974 Some turbulent/non-turbulent properties of the outer intermittent region of a boundary layer. J. Fluid Mech. 64, 645.Google Scholar
Johnson, D. S. 1957 Velocity, temperature and heat transfer measurements in a turbulent boundary layer downstream of a stepwise discontinuity in wall temperature. J. Appl. Mech., Trans. A.S.M.E. 24, 2.Google Scholar
Johnson, D. S. 1959 Velocity and temperature fluctuation measurements in a turbulent boundary layer downstream of a stepwise discontinuity in wall temperature. J. Appl. Mech., Trans. A.S.M.E. 26, 325.Google Scholar
Kays, W. M. 1966 Convective Heat and Mass Transfer. McGraw-Hill.
Klebanoff, P. S. 1955 Characteristics of turbulence in a boundary layer with zero pressure gradient. N.A.C.A. Rep. no. 1247.Google Scholar
Kline, S. J., Reynolds, W. C., Schraub, F. A. & Runstadler, P. W. 1967 The structure of turbulent boundary layers. J. Fluid Mech. 30, 741.Google Scholar
Kovasznay, L. S. G., Kibens, V. & Blackwelder, R. F. 1970 Large-scale motion in the intermittent region of a turbulent boundary layer. J. Fluid Mech. 41, 283.Google Scholar
Larue, J. C. 1974 Detection of the turbulent — nonturbulent interface in slightly heated turbulent shear flows. Phys. Fluids, 17, 1513.Google Scholar
Stellema, L., Antonia, R. A. & Prabhu, A. 1975 A constant current resistance thermometer for the measurement of mean and fluctuating temperatures in turbulent flows. Charles Kolling Res. Lab., Dept. Mech. Engng, Univ. Sydney, Tech. Note, D-12.
Swenson, G. G. 1973 The structure of turbulence in a boundary layer in the presence of heat transfer. Ph.D. thesis, University of Sydney.
Townsend, A. A. 1965a Self-preserving flow inside a turbulent boundary layer. J. Fluid Mech. 22, 773.Google Scholar
Townsend, A. A. 1965b The response of a turbulent boundary layer to abrupt changes in surface conditions. J. Fluid Mech. 22, 779.Google Scholar
Verollet, E. & Fulachier, L. 1969 Mesures de densités de flux de chaleur et de tensions de Reynolds dans une couche limite turbulente avec aspiration à la paroi. C. R. Acad. Sci. Paris, A 268, 1577.
Wygnanski, I. J. & Fiedler, H. E. 1970 The two-dimensional mixing region. J. Fluid Mech. 41, 327.Google Scholar
Wyngaard, J. C. 1971 Spatial resolution of a resistance wire temperature sensor. Phys. Fluids, 14, 2052.Google Scholar