The use of a contraction to improve the isotropy of grid-generated turbulence

Author:

Comte-Bellot Geneviéve,Corrsin Stanley

Abstract

It is found that when the average kinetic energies of normal velocity components in decaying, grid-generated turbulence are equilibrated by a symmetric contraction of the wind tunnel, this equality can persist downstream. A second result is further confirmation of the fact that the best power-law fit to the inverse turbulent energy during the early part of decay is near (x–x1)1·25, for both rod grids and disk grids. The Kolmogorov decay law $\sim (t - t_1)^{\frac{10}{7}}$ is re-derived by a spectral method which is essentially equivalent to the original. Finally, a crude theoretical estimate of component energies in the straight duct after a weak contraction seems to support the experiments.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference53 articles.

1. Mills, R. R. & Corrsin, S. 1959 Effect of contraction on turbulence and temperature fluctuations generated by a warm grid.NASA Memo 5–5–59W.

2. Uberoi, M. S. 1963 Energy transfer in isotropic turbulence.Phys. Fluids,6,1048.

3. Uberoi, M. S. & Corrsin, S. 1953 Diffusion of heat from a line source in isotropic turbulence.NACA Rep. no. 1142. (See also NACA TN no. 2710.)

4. Grant, H. L. & Nisbet, I. C. T. 1957 The inhomogeneity of grid turbulence.J. Fluid Mech. 2,263.

5. Uberoi, M. S. 1957 Equipartition of energy and local isotropy in turbulent flows.J. Appl. Phys. 28,1165.

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