Abstract
Scaling of turbulent wall-bounded flows is revealed in the gradient structures, for each of the Reynolds stress components. Within the “dissipation” structure, an asymmetrical order exists, which we can deploy to unify the scaling and transport dynamics within and across these flows. There are subtle differences in the outer boundary conditions between channel and flat-plate boundary-layer flows, which modify the turbulence structure far from the wall. The self-similarity exhibited in the gradient space and corresponding transport dynamics establish capabilities and encompassing knowledge of wall-bounded turbulent flows.
Highlights
As an example, the radial profiles scale with r/x, so that a single set of measurements or a correlation can be generalized to other Reynolds numbers in the same geometry [1,2]
This bears some implications toward the internal organization processes in turbulence as predicated by the global constraints and transport dynamics, and renders possible computations of the full flow structure starting from a reference profile [9,10]
The dissipation scaling in wall-bounded turbulent flows, based on the above observations, appears to be complete and uniformly applicable, save for the adjustments for the outer boundary conditions
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. It is the dissipation (du’2 /dy+) or the gradient profiles that scale with the Reynolds number in an asymmetrical, but ordered manner. This bears some implications toward the internal organization processes in turbulence as predicated by the global constraints and transport dynamics, and renders possible computations of the full flow structure starting from a reference profile [9,10].
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