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The minimal flow unit in near-wall turbulence

Published online by Cambridge University Press:  26 April 2006

Javier Jiménez  and
Parviz Moin
Javier Jiménez
Affiliation:
Center for Turbulence Research, Stanford University, Stanford, CA 94305. USA and NASA Ames Research Center, Moffett Field, CA 94035, USA Permanent address: School of Aeronautics, U. Politécnica, Madrid, Spain.
Parviz Moin
Affiliation:
Center for Turbulence Research, Stanford University, Stanford, CA 94305. USA and NASA Ames Research Center, Moffett Field, CA 94035, USA
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Abstract

Direct numerical simulations of unsteady channel flow were performed at low to moderate Reynolds numbers on computational boxes chosen small enough so that the flow consists of a doubly periodic (in x and z) array of identical structures. The goal is to isolate the basic flow unit, to study its morphology and dynamics, and to evaluate its contribution to turbulence in fully developed channels. For boxes wider than approximately 100 wall units in the spanwise direction, the flow is turbulent and the low-order turbulence statistics are in good agreement with experiments in the near-wall region. For a narrow range of widths below that threshold, the flow near only one wall remains turbulent, but its statistics are still in fairly good agreement with experimental data when scaled with the local wall stress. For narrower boxes only laminar solutions are found. In all cases, the elementary box contains a single low-velocity streak, consisting of a longitudinal strip on which a thin layer of spanwise vorticity is lifted away from the wall. A fundamental period of intermittency for the regeneration of turbulence is identified, and that process is observed to consist of the wrapping of the wall-layer vorticity around a single inclined longitudinal vortex.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 225 , April 1991 , pp. 213 - 240
Copyright
© 1991 Cambridge University Press

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