McDarby, JM; Smith, FT; (2007) Turbulent flow on a planar moving belt and a rotating disk: modelling and comparisons. J FLUID MECH , 587 255 - 270. 10.1017/S0022112007007550.

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Abstract

Modelling of the fully turbulent flow produced on a moving belt and of that induced on a rotating disk is described, for each of which a more analytical approach is adopted than previously seen. The analysis for the two-dimensional moving belt indicates novel structures and these are found to carry over directly to the rotating disk flow which, ignoring the transitional regime, is three-componential but two-dimensional due to axisymmetry. This is based on addressing the Reynolds-averaged Navier-Stokes equations together with an eddy viscosity model, with the flow structure being analysed for high Reynolds numbers. A classical (von Karman) constant within the model plays an important and surprising role, indicating that each of the belt and the disk flows has quite a massive thickness. Comparisons made with previous work show varying degrees of agreement. The approach, including the new prediction of massive thicknesses independent of the Reynolds number, is expected to extend to flows induced by rotary blades, by related rotary devices and by other configurations of industrial interest.

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