Journal
JOURNAL OF FLUID MECHANICS
Volume 775, Issue -, Pages 189-200Publisher
CAMBRIDGE UNIV PRESS
DOI: 10.1017/jfm.2015.296
Keywords
turbulent boundary layers; turbulent flows; turbulence simulation
Categories
Funding
- XSEDE [TG-CTS120046]
- SCOREC (Scientific Computation Research Center) from Rensselaer Polytechnic Institute
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Direct numerical simulation of highly accelerated turbulent boundary layers (TBLs) reveals that the Reynolds shear stress, (u'v') over bar (+), monotonically decreases downstream and exhibits a logarithmic behaviour (e.g. -(u'v') over bar (+) = -(1/A(uv)) ln y(+) + B-uv) in the mesolayer region (e.g. 50 <= y(+) <= 170). The thickness of the log layer of (u'v') over bar (+) increases with the streamwise distance and with the pressure gradient strength, extending over a large portion of the TBL thickness (up to 55 %). Simulations reveal that V+partial derivative U+/partial derivative y(+) similar to 1/y(+) similar to (partial derivative u'v') over bar (+)/partial derivative y(+), resulting in a logarithmic (u'v') over bar (+) profile. Also, V+ similar to -y(+) is no longer negligible as in zero-pressure-gradient (ZPG) flows. Other experimental/numerical data at similar favourable-pressure-gradient (FPG) strengths also show the presence of a log region in (u'v') over bar (+). This log region in (u'v') over bar (+) is larger in sink flows than in other spatially developing FPG flows. The latter flows exhibit the presence of a small power-law region in (u'v') over bar (+), which is non-existent in sink flows.
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