Abstract
A predictive model for the mean velocity profile in wall-bounded turbulent flow is developed. The model is conceptually based on the dynamical processes known to occur in near-wall turbulence. Ejections, sweeps and outer-layer motions are modelled directly as momentum transfer processes. These combine with viscous and pressure gradient effects to keep the mean velocity profile in a state of balance. A quantitative model is developed for the case of plane channel flow and is shown to correctly give an inner law, a logarithmic region, and a wake region. Predictions of skin friction, channel centreline velocity and shape factor agree well with experiments over a wide range of Reynolds numbers, including the transitional and low-Reynolds-number regimes. The procedure adopted represents a new and fundamentally non-local approach to turbulence prediction.
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© 1993 Springer-Verlag Berlin Heidelberg
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Sandham, N.D. (1993). A Model Equation for Transitional and Turbulent Plane Channel Flow. In: Durst, F., Friedrich, R., Launder, B.E., Schmidt, F.W., Schumann, U., Whitelaw, J.H. (eds) Turbulent Shear Flows 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77674-8_6
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DOI: https://doi.org/10.1007/978-3-642-77674-8_6
Publisher Name: Springer, Berlin, Heidelberg
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