Similarity Spectra in Isotropic Turbulence
- 1 March 1959
- journal article
- Published by AIP Publishing in Physics of Fluids
- Vol. 2 (2) , 139-146
- https://doi.org/10.1063/1.1705904
Abstract
Similarity solutions are given for the energy spectrum and transfer function in the initial period of decay for a range of values of the Reynolds number using the transfer theory suggested by Kovásznay. Because of the simple form of the theory, the solution can be obtained in closed form for all values of the Reynolds number, and this exact solution is useful for analytical purposes. To obtain detailed results, however, it is more convenient to employ numberical methods. It is found, for example, that the skewness factor S of −∂u1/∂x1 varies only between 3.93 KK for Rλ = 0 and 2.86 KK for Rλ = ∞, where KK is the arbitrary constant that occurs in the theory. A comparison between the present results and those obtained by using Heisenberg's transfer formula is also made. Some results for the transfer function in the final period of decay are also given.Keywords
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