DOI: 10.1017/s0022112090002919. The decay power law in grid-generated turbulence

The decay power law in grid-generated turbulence

10.1017/s0022112090002919

Crossref journal-article

Cambridge University Press (CUP)

Journal of Fluid Mechanics (56)

Abstract

The effect of initial conditions on the decay exponent and coefficient and virtual origin in the decay power-law form for the variation of the variance of the turbulent velocity downstream of biplane grids constructed of rods of both round and square cross-section is determined. This effect is determined for data obtained as part of the present study as well as from previous studies. These studies cover a Reynolds number range from 6000 to 68000, mesh sizes of 2.54 and 5.08 cm, and solidities of 0.34 and 0.44. It is shown that the choice of the virtual origin and the use of data in the non-homogeneous portion of the flow can have a significant influence on the value of the parameters in the decay power-law. Criteria are developed to identify the nearly homogeneous and isotropic portion of the flow. These criteria include low values of the velocity skewness, constancy of the skewness of the velocity derivative and balance of the turbulent kinetic energy equation. Results based on data selected by means of these criteria show that the decay exponent and virtual origin are independent of initial conditions such as Reynolds number, mesh size, solidity, and rod shape and surface roughness with values of respectively 1.30 and 0. In contrast and as expected, the decay coefficient is found to be a function of these initial conditions. Thus, the downstream variation of the variance of the turbulent velocity is universally self-similar.

Bibliography

Mohamed, M. S., & Larue, J. C. (1990). The decay power law in grid-generated turbulence. Journal of Fluid Mechanics, 219, 195â214.

Authors 2

Mohsen S. Mohamed (first)
John C. Larue (additional)

References 31 Referenced 307

Wyatt, L. A. :1955 Energy and spectra in decaying homogeneous turbulence. PhD thesis,University of Manchester.
Uberoi, M. S. & Wallis, S. ,1967 Phys. Fluids 10,1216. (10.1063/1.1762265)
Sreenivasan, K. , Tavoularis, S. & Corrsin, S. ,1980 J. Fluid Mech. 100,597. (10.1017/S0022112080001309)
Batchelor, G. K. & Townsend, A. A. ,1948 Proc. R. Soc. Lond. A193,539. (10.1098/rspa.1948.0061)
Batchelor, G. K. :1953 The Theory of Homogeneous Turbulence .Cambridge University Press.
Van Atta, C. W. & Chen, W. 1969 J. Fluid Mech. 38,743. (10.1017/S0022112069002576)
Comte-Bellot, G. & Corrsin, S. 1971 J. Fluid Mech. 48,273. (10.1017/S0022112071001599)
Portfors, E. A. & Keffer, J. F. ,1969 Phys. Fluids 12,1519. (10.1063/1.1692697)
Taylor, G. I. :1935 Proc. R. Soc. Lond. A151,421. (10.1098/rspa.1935.0158)
Monin, A. S. & Yaglom, A. M. ,1975 Statistical Fluid Mechanics , vol. 2 (ed. J. L. Lumley ), p.113.MIT Press.
Hinze, J. O. :1959 Turbulence .McGraw-Hill.
Maxey, M. R. :1987 Phys. Fluids 30,935. (10.1063/1.866279)
Uberoi, M. S. & Wallis, S. ,1969 Phys. Fluids 12,1355. (10.1063/1.1692674)
Stewart, R. W. & Townsend, A. A. ,1951 Phil. Trans. R. Soc. Lond. A243,359. (10.1098/rsta.1951.0007)
Uberoi, M. S. :1963 Phys. Fluids 6,1048. (10.1063/1.1706861)
Kolmogorov, A. N. :1941 Dokl. Akad. Nauk. SSSR 31,538.
Grant, H. L. & Nisbet, I. C. ,1957 J. Fluid Mech. 2,263. (10.1017/S0022112057000117)
Sirivat, A. & Warhaft, Z. ,1983 J. Fluid Mech. 128,323. (10.1017/S0022112083000506)
Comte-Bellot, G. & Corrsin, S. 1966 J. Fluid Mech. 25,657. (10.1017/S0022112066000338)
Helland, K. N. & Stegen, G. R. ,1970 Phys. Fluids 13,2925. (10.1063/1.1692883)
Saffman, P. G. :1967 J. Fluid Mech. 27,581. (10.1017/S0022112067000552)
Batchelor, G. K. & Townsend, A. A. ,1947 Proc. R. Soc. Lond. A191,534.
George, W. K. :1988 The decay of homogeneous turbulence. In Transport Phenomena in Turbulent Flows (ed. M. Hirata & N. Kasagi ), p.1.Hemisphere.
Baines, W. D. & Peterson, E. G. ,1951 Trans. ASME 73,467. (10.1115/1.4016280)
Von Kármán, T. & Howarth, L. 1938 Proc. R. Soc. Lond. A164,192. (10.1098/rspa.1938.0013)
Tennekes, H. & Lumley, J. L. ,1989 A First Course in Turbulence , p.72.MIT Press.
Corrsin, S. :1963 Encyclopedia of Physics, vol. 8, part 2, p.568.Springer.
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Bennett, J. C. & Corrsin, S. ,1978 Phys. Fluids 21,2129. (10.1063/1.862168)
Frenkiel, F. & Klebanoff, P. S. ,1971 J. Fluid Mech. 48,183. (10.1017/S002211207100154X)
Mccomb, W. D. , Shanmugasundaram, V. & Hutchinson, P. ,1990 J. Fluid Mech. 208,91. (10.1017/S0022112089002788)

Dates

Type	When
Created	19 years, 4 months ago (April 26, 2006, 1:18 p.m.)
Deposited	2 months, 2 weeks ago (June 20, 2025, 12:55 p.m.)
Indexed	2 months, 1 week ago (June 27, 2025, 4:25 a.m.)
Issued	34 years, 11 months ago (Oct. 1, 1990)
Published	34 years, 11 months ago (Oct. 1, 1990)
Published Online	19 years, 4 months ago (April 26, 2006)
Published Print	34 years, 11 months ago (Oct. 1, 1990)

Funders 0

None

BibTeX

@article{Mohamed_1990, title={The decay power law in grid-generated turbulence}, volume={219}, ISSN={1469-7645}, url={http://dx.doi.org/10.1017/s0022112090002919}, DOI={10.1017/s0022112090002919}, journal={Journal of Fluid Mechanics}, publisher={Cambridge University Press (CUP)}, author={Mohamed, Mohsen S. and Larue, John C.}, year={1990}, month=oct, pages={195–214} }

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