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This paper reports the development of a refined wall-function strategy for the modelling of turbulent flows over smooth and rough surfaces. In order to include the effects of fine-grain surface roughness, the present study extends a more fundamental work on the development of advanced wall functions of general applicability. The presently proposed model is validated through comparisons with data available for internal flows through channels, pipes and for external flows over flat plates with both smooth and rough surfaces. Then, its further validation in separating flows over a sand dune and a sand-roughened ramp as well as a smooth ramp is discussed. The validation results suggest that the presently proposed form is successfully applicable to a wide range of attached and separated turbulent flows over smooth and fine-grain rough surfaces.

A Generalized Analytical Wall-Function for Turbulence (1st Report, A Flow Field Model for Smooth and Rough Wall Turbulence)