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The effect of a circular cylinder on the diffusion of matter by a plume

Published online by Cambridge University Press:  26 April 2006

H. Tsunoda
Affiliation:
Department of Mechanical Engineering, Nagoya University, Nagoya 464-01, Japan
Y. Sakai
Affiliation:
Department of Mechanical Engineering, Nagoya University, Nagoya 464-01, Japan
I. Nakamura
Affiliation:
Department of Mechanical Engineering, Nagoya University, Nagoya 464-01, Japan
S. Liu
Affiliation:
Department of Mechanical Engineering, Nagoya University, Nagoya 464-01, Japan Present address: Research and Development Division. ULVAC Japan Co. Ltd., Chigasaki. Kanagawa 253, Japan.

Abstract

Experimental results are given for the mean and fluctuation concentration in a plume from a point source in grid-generated turbulence, which has developed so as to have a width comparable to the cylinder diameter, is disturbed by a cylinder with its axis intersecting the plume axis perpendicularly. It is shown that the disturbance effect of the cylinder appears in the upstream region of about 1.5 diameter from the stagnation point. As the stagnation point is approached, the increased travel time and the enhanced molecular diffusion cause a noticeable amplification of the dissipation of concentration variance. Also, the characteristics of some conditional statistics of the plume entrained in the wake are examined in order to investigate the intermittent structure of the plume meandering produced by the Kármán vortex street.

Type
Research Article
Copyright
© 1993 Cambridge University Press

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References

Bilger, R. W., Antonia, R. A. & Sreenivasan, K. A. 1976 Determination of intermittency from the probability density function of a passive scalar. Phys. Fluids 19, 14711474.Google Scholar
Britter, R. E., Hunt, J. C. R. & Mumford, J. C. 1979 The distortion of turbulence by a circular cylinder. J. Fluid Mech. 92, 269301.Google Scholar
Chatwin, P. C. & Sullivan, P. J. 1987 Perceived statistical properties of scalars in turbulent shear flows. In Proc. 6th Symp. Turbulent Shear Flows, Toulouse, pp. 922926.
Fabris, G. 1979 Turbulent temperature and thermal flux characteristics in the wake of a cylinder. Turbulent Shear Flows 1, pp. 5570. Springer.
Georgopoulos, P. G, & Seinfeld, J. H. 1986 Instantaneous concentration fluctuation in point-source plumes. AIChE J. 32, 16421654.Google Scholar
Hanna, S. R. 1984 Concentration fluctuations in a smoke plume. Atmos. Environ, 18, 10911106.Google Scholar
Hunt, J. C. R. 1985 Turbulent diffusion from sources in complex flows, Ann. Rev. Fluid Mech. 17, 447485.Google Scholar
Hunt, J. C. R., Britter, R. E. & Puttock, J. S. 1979 Mathematical models of dispersion of air pollution around buildings and hills, Proc, IMA Symp. Math. Modelling Turbulent Diffusion Environment, pp. 145200. Academic.
Hunt, J. C. R. & Mulhearn, P. J. 1973 Turbulent dispersion from sources near two-dimensional obstacles. J. Fluid Mech. 61, 245274.Google Scholar
Hunt, J. C. R., Puttock, J. S. & Snyder, W. H. 1979 Turbulent diffusion from a point source in stratified and neutral flows around a three-dimensional hill – Part I. Diffusion equation analysis. Atmos Environ. 13, 12271239.Google Scholar
Keffer, J. F., Kawall, J. G., Hunt, J. C. R. & Maxey, M. R. 1978 The uniform distortion of thermal and velocity mixing layers. J. Fluid Mech. 86, 465490.Google Scholar
Kiya, M., Suzuki, Y., Arie, M. & Hagino, M. 1982 A contribution to the free-stream turbulence effect on the flow past a circular cylinder. J. Fluid Mech. 115, 151164.Google Scholar
Komoda, H. 1957 On the effect of free-stream turbulence on the structure of turbulent wake. J. Japan Soc. Aeronautl Engng 5, 274279.Google Scholar
La Rue, J. C. 1974 Detection of the turbulent-nonturbulent interface in slightly heated turbulent shear flows, Phys, Fluids 17, 15131517.Google Scholar
Larue, J. C. & Libby, P. A. 1974 Temperature fluctuations in the plane turbulent wake. Phys. Fluids 17, 19561967.Google Scholar
Nakamura, I., Miyata, M. & Sakai, Y. 1983 On a method of the concentration measurement by use of light absorption law. Bull. JSME 26, 13571365.Google Scholar
Nakamura, I., Sakai, Y. & Miyata, M. 1987 Diffusion of matter by a non-buoyant plume in grid-generated turbulence. J. Fluid Mech. 178, 379403 (referred to herein as NSM).Google Scholar
Nakamura, I, Sakai, Y. & Tsunoda, H. 1989 On conditional statistics of the diffusion field of matter by a point source plume in uniform mean shear flow. JSME Intl J. 32. 180188.Google Scholar
O'brien, E. E. 1978 Stochastic properties of scalar quantities advected by a non-buoyant plume. J. Fluid Mech. 89, 209222.Google Scholar
Ogawa, Y. & Oikawa, S. 1982 A field investigation of the flow and diffusion around a model cube, Atmos. Environ. 16, 207222.Google Scholar
Ogawa, Y., Oikawa, S. & Uehara, K. 1983 Field and wind tunnel study of the flow and diffusion around a model cube - Part II. Nearfield and cube surface flow and concentration patterns. Atmos. Environ. 17, 11611171.Google Scholar
Puttock, J. S. 1979 Turbulent diffusion from sources near obstacles with separated wakes – Part II. Concentration measurements near a circular cylinder in uniform flow. Atmos. Environ. 13 1522.Google Scholar
Puttock, J. S. & Hunt, J. C. R. 1979 Turbulent diffusion from sources near obstacles with separated wakes Part I. An eddy diffusivity model. Atmos. Environ. 13, 113.Google Scholar
Robins, A. G. & Castro, I. P. 1977 A wind tunnel investigation of plume dispersion in the vicinity of a surface mounted cube– Part II. The concentration field. Atmos. Environ. 11 299311.Google Scholar
Schlichting, H. 1979 Boundary Layer theory. McGraw-Hill.
Tennekes, H. & Lumley, J. L. 1972 A First Course in Turbulence. MIT Press.
Townsend, A. A. 1976 The Structure of Turbulent Shear Flow. Cambridge University Press.
Tsuji, H. 1977 The theory of the combustion phenomenon (16), section 8.2: flame stabilization in high speed air flow. Sci. of Machine 29, 11231128 (in Japanese).Google Scholar
Warhaft, Z. 1980 An experimental study of the effect of uniform strain on thermal fluctuations in grid-generated turbulence. J. Fluid Mech. 99, 545573.Google Scholar
Wilson, D. J., Robins, A. G. & Fackrell, J. E. 1985 Intermittency and conditionally-averaged concentration fluctuation statistics in plumes. Atmos. Environ. 19, 10531064.Google Scholar
Yamada, H., Kuwata, Y., Osaka, H. & Kageyama, Y. 1980 Turbulence measurements in a two-dimensional turbulent wake. Tech. Rep. Yamaguchi Univ. 2, 329339.Google Scholar