Journal article

Reynolds-number-dependent turbulent inertia and onset of log region in pipe flows

C Chin, J Philip, J Klewicki, A Ooi, I Marusic

Journal of Fluid Mechanics | Published : 2014

Abstract

A detailed analysis of the 'turbulent inertia' (TI) term (the wall-normal gradient of the Reynolds shear stress, {d} \langle -uv\rangle /\mathrm{d} y, in the axial mean momentum equation is presented for turbulent pipe flows at friction Reynolds numbers δ+≈500, 1000 and 2000 using direct numerical simulation. Two different decompositions for TI are employed to further understand the mean structure of wall turbulence. In the first, the TI term is decomposed into the sum of two velocity-vorticity correlations ( \langle v ω z \rangle + \langle - w ω y \rangle ) and their co-spectra, which we interpret as an advective transport (vorticity dispersion) contribution and a change-of-scale effect (as..

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Grants

Awarded by Victorian Life Sciences Computation Initiative (VLSCI) at its Peak Computing Facility at the University of Melbourne, an initiative of the Victorian Government, Australia


Funding Acknowledgements

This research was undertaken with the assistance of resources provided at the National Computational Infrastructure National Facility (NCI NF) through the National Computational Merit Allocation Scheme supported by the Australian Government. This research was supported by a Victorian Life Sciences Computation Initiative (VLSCI) grant number VR0057 at its Peak Computing Facility at the University of Melbourne, an initiative of the Victorian Government, Australia. The authors also acknowledge the financial support of the Australian Research Council.