Unified Analysis of Grid Turbulence

by Eduard Naudascher, (M.ASCE), Prof. of Hydr. Engrg. and Dir., Inst. of Hydromechanics; Univ. of Karlsruhe, Germany; formerly, Assoc. Prof., Dept. Mech. and Hydr., and Res. Engr., Inst. of Hydr. Res., Univ. of Iowa, Iowa City, IA,
Cesar Farell, Asst. Prof.; Dept. Mech. and Hydr., and Res. Engr., Inst. of Hydr. Res., Univ. of Iowa, Iowa City, IA,

Serial Information: Journal of the Engineering Mechanics Division, 1970, Vol. 96, Issue 2, Pg. 121-141

Document Type: Journal Paper


The deficiencies of the conventional power laws for the decay of grid turbulence, i.e., the discontinuous change from an initial to a final zone and the undefined range of validity, have been successfully overcome by analyzing grid flow as the plane-source counterpart of flows past point and line sources of turbulence energy. A comparison of the analytical results with experimental data on turbulence intensity, dissipation length, and integral scale for a great variety of grid geometries and Reynolds numbers reveals good agreement for all down-stream zones. The data used include those of Baines and Peterson, Batchelor and Townsend, Comte-Bellot and Corrsin, Dryden, Stewart and Townsend, Uberoi, van der Hegge-Zijnen, von Kármán, and Wyatt. Functional relationships between the constants of the resulting analytical expressions, including the position of the virtual origin, and the grid-flow parameters have been deduced to facilitate prediction of turbulence characteristics and their downstream development for any given grid flow.

Subject Headings: Turbulent flow | Grid systems | Turbulence | Decomposition | Comparative studies | Integrals | Geometrics | Reynolds number

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