Hostname: page-component-7479d7b7d-fwgfc Total loading time: 0 Render date: 2024-07-10T13:18:42.086Z Has data issue: false hasContentIssue false

Coherent motions and heat transfer in a wall turbulent shear flow

Published online by Cambridge University Press:  26 April 2006

Y. Nagano
Affiliation:
Department of Mechanical Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466, Japan
M. Tagawa
Affiliation:
Department of Mechanical Engineering, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya 466, Japan

Abstract

In wall turbulence, it is widely accepted that the coherent motions determine the essential features of turbulent transport phenomena. In the present study, we have refined a trajectory-based detection algorithm for coherent motions and have investigated the relationship between coherent motions and scalar (heat) transfer from a structural point of view, i. e. trajectory analysis of the VITA heat transfer events, extraction of key flow modules and the relevant heat transport, and the prediction of passive scalar transfer by means of an autoregressive (AR) model. As a result, it is shown that the phase relationship of fluctuating velocity components dominates the essential characteristics of the transport processes of heat and momentum in wall turbulence and there exist distinct differences in individual correspondence between the coherent motions and heat transport processes, neither of which can be revealed by the widely used VITA technique. Also, the AR model is shown to provide good time-series predictions for turbulent heat transfer associated with coherent structures near the wall.

Type
Research Article
Copyright
© 1995 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

Akaike, H. 1971 Autoregressive model fitting for control. Ann. Inst. Statist. Maths. 23, 163180.Google Scholar
Akaike, H. A new look at the statistical model identification. IEEE Trans. Automatic Control 19, 716723.
Alfredsson, P. H. & Johansson, A. V. 1984 On the detection of turbulence-generating events J. Fluid Mech. 139, 325345.
Antonia, R. A., Rajagopalan, S., Subramanian, C. S. & Chambers, A. J. 1982 Reynolds-number dependence of the structure of a turbulent boundary layer. J. Fluid Mech. 121, 123140.Google Scholar
Blackwelder, R. F. & Kaplan, R. E. 1976 On the wall structure of the turbulent boundary layer. J. Fluid Mech. 76, 89112.Google Scholar
Bogard, D. G. & Tiederman, W. G. 1986 Burst detection with single-point velocity measurements. J. Fluid Mech. 162, 389413.Google Scholar
Bogard, D. G. & Tiederman, W. G. 1987 Characteristics of ejections in turbulent channel flow. J. Fluid Mech. 179, 119.Google Scholar
Brodkey, R. S. Wallace, J. M. & Eckelmann, H. 1974 Some properties of truncated turbulence signals in bounded shear flows.J. Fluid Mech. 63, 209224.
Chen, C.-H. P. & Blackwelder, R. F. 1978 Large-scale motion in a turbulent boundary layer: A study using temperature contamination. J. Fluid Mech. 89, 131.Google Scholar
Farge, M. 1992 Wavelet transforms and their applications to turbulence. Ann. Rev. Fluid. Mech. 24, 395457.Google Scholar
Fuller, W. R. 1976 Introduction to Statistical Time Series. Wiley & Sons.
Hishida, M. & Nagano, Y. 1978a Structure of turbulent temperature and velocity fluctuations in the thermal entrance region of a pipe. In Proc. 6th Intl Heat Transfer Conf., Toronto vol. 2, pp. 531536.Google Scholar
Hishida, M. & Nagano, Y. 1978b Simultaneous measurements of velocity and temperature in nonisothermal flows. Trans. ASME C: J. Heat Transfer 100, 340345.
Hishida, M. & Nagano, Y. 1979 Structure of turbulent velocity and temperature fluctuations in fully developed pipe flow. Trans. ASME C: J. Heat Transfer 101, 1522.Google Scholar
Hishida, M. & Nagano, Y. 1988a Turbulence measurements with symmetrically bent V-shaped hot-wires. Part 1. Principles of operation.Trans. ASME I: J. Fluids Engng 110, 264269.
Hishida, M. & Nagano, Y. 1988b Turbulence measurements with symmetrically bent V-shaped hot-wires. Part 2. Measuring velocity components and turbulent shear stresses. Trans. ASME I: J. Fluids Engng 110, 270274.
Hishida, M., Nagano, Y. & Tagawa M. 1986 Transport processes of heat and momentum in the wall region of turbulent pipe flow. In Proc. 8th Intl Heat Transfer Conf., San Francisco vol. 3, pp. 925930. Hemisphere.
Hunt, J. C. R., Kevlahan, N. K.-R., Vassilicos, J. C. & Farge, M. 1993 Wavelets, fractals and Fourier transforms: detection and analysis of structure In Wavelets, Fractals, and Fourier Transforms (edM. Farge, J. C. R. Hunt & J. C. Vassilicos), PP. 138. Clarendon.
Iritani, Y., Kasagi, N. & Hirata, M. 1985 Heat transfer mechanism and associated turbulence structure in the near-wall region of a turbulent boundary layer. In Turbulent shear Flows 4 (ed. L. J. S. Bradury, F. Durst, B. E. Lauder, F. W. Schmidt & J. H. Whitelaw), pp. 223234. Springer.
Johansson, A. V. & Alfredsson, P. H. 1982 On the structure of turbulent channel flow. J. Fluid Mech. 122 295314.Google Scholar
Johansson, A. V., Alfredsson, P. H. & Kim, J. 1991 Evolution and dynamics of shear-layer structures in near-wall turbulence. J. Fluid. Mech. 224, 579599.Google Scholar
Kasagi, N. 1990 Structural study of near-wall turbulence and its heat transfer mechanism. In Near-Wall Turbulence (ed. S. J. Kline & N. H. Afgan), pp. 596619. Hemisphere.
Kasagi, N. & Ohitsubo, Y. 1993 Direct numerical simulation of low Prandtl number thermal field in a turbulent channel flow. In Turbulent Shear Flows 8 (ed. F. Durst, R. Friedrich, B. E. Launder, F. W. Schmidt, U. Schumann & J. H. Whitelaw), pp. 97119. Springer.
Kasagi, N., Tomita, Y. & Kuroda, A. 1992 Direct numerical simulation of passive scalar field in a turbulent channel flow. Trans. ASME C: J. Heat Transfer 114 598606.Google Scholar
Kim, J. & Moin, P. 1989 Transport of passive scalars in a turbulent channel flow. In Turbulent Shear Flows 6 (ed. J.-C. André, J. Cousteix, F. Durst, B. E. Launder, F. W. Schmidt & J. H. Whitelaw), pp. 8596. Springer.
Kline, S. J. 1990 Quasi-coherent structures in the turbulent boundary layer: Part 1. Status report on a community-wide summery of the data In Near-Wall Turbulence (ed. S. J. Kline & N. H. Afgan), pp. 200217. Hemisphere.
Lu, S. S. & Willmarth, W. W. 1973 Measurements of the structure of the Reynolds stress in a turbulent boundary layer. J. Fluid. Mech. 60, 481511.Google Scholar
Luchik, T. S. & Tiederman, W. G. 1987 Timescale and structure of ejections and bursts in turbulent channel flows. J. Fluid Mech. 174, 529552.Google Scholar
Morrison, J. F., Tsai, H. M. & Bradshaw, P. 1989 Conditional-sampling schemes for turbulent channel flows, Based on the variable-interval time averaging (VITA) algorithm. Exps. Fluids 7 173189.Google Scholar
Nagano, Y. & Hishida, M. 1985 Production and dissipation of turbulent velocity and temperature fluctuations in fully developed pipe flow. In Proc. 5th Symp. on Turbulent Shear flows. Cornell University Ithaca, pp. 14.19–14.24.
Nagano, Y. & Hishida, M. 1990 Turbulent heat transfer associated with coherent structures near the wall. In Near-Wall Turbulence (ed. S. J. Kline & N. H. Afgan pp. 568581. Hemisphere.
Nagano, Y., Sato, H. & Tagawa, M. 1995 Structure of heat transfer in the thermal layer growing in a fully developed turbulent flow. In Turbulent Shear Flows 9 (ed. F. Durst, N. Kasagi, B. E. Launder, F. W. Schmidt, K. Suzuki & J. H. Whitelaw), pp. 343364. Springer.
Nagano, Y. & Tagawa, M. 1988 Statistical characteristics of wall turbulence with a passive scalar. J. Fluid Mech. 196, 157185.Google Scholar
Nagano, Y. & Tagawa, M. 1990 A structural turbulence model for triple products of velocity and scalar. J. Fluid Mech. 215, 639657.Google Scholar
Nagano, Y. & Tsuji, T. 1994 Recent developments in hot- and cold-wire techniques for measuresments in turbulent shear flows near walls. Expl Thermal Fluid Sci. 9, 94110.Google Scholar
Parzen, E. 1974 Some recent advances in time series modeling. IEEE Trans. Automatic Control 19, 723730.Google Scholar
Robinson, S. K., 1991a Coherent motions in the turbulent boundary layer. Ann. Rev. Fluid Mech. 23, 601639.
Robinson, S. K. 1991b The kinematics of turbulent boundary layer structure. NASA Tech. Memo. 103859.Google Scholar
Robinson, S. K., Kline, S. J. & Spalart, P. R. 1990 Quasi-coherent structures in the turbulent boundary layer: Part 11. Verification and new information from a numerically simulated flat-plate layer. In Near-Wall Turbulence (ed. S. J. Kline & N. H. Afgan), pp. 218247. Hemisphere.
Spina, E. F., Donovan, J. F. & Smits, A. J. 1991 On the structure of high-Reynolds-number supersonic turbulent boundary layers. J. Fluid Mech. 222 293327.Google Scholar
Subramanian, C. S., Rajagopalan, S., Antonia, R. A. & Chambers, A. J. 1982 Comparison of conditional sampling and averaging techniques in a turbulent boundary layer. J. Fluid Mech. 123, 335362.Google Scholar
Tagawa, M., Tsuji, T. & Nagano, Y. 1992 Evaluation of X-probe response to wire separation for wall turbulence measurements. Exps. Fluids 12, 413421.Google Scholar
Tsuji, T., Nagano, Y. & Tagawa, M. 1992 Frequency response and instantaneous temperature profile of cold-wire sensors for fluid temperature flunctuation measurements. Exps. Fluids 13 171178.Google Scholar
Wallace, J. M. Brodkey, R. S. & Eckelmann, H. 1977 Pattern-recognized structures in bounded turbulent shear flows. J. Fluid. Mech. 83, 673693.Google Scholar
Wroblewski, D. E. & Eibeck, P. A. 1991 A frequency response compensation technique for cold wires and its application to a heat flux probe. Exp. Thermal Fluid. Sci. 4, 452463.Google Scholar