Reynolds Number Dependencies in Boundary Layer Axial Stress and Scalar Variance Transport

Metzger, Meredith; Klewicki, Joseph; Priyadarshana, Paththage

doi:10.1007/978-94-007-0997-3_15

Cited by 4 publications

(4 citation statements)

References 5 publications

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“…The axial velocity statistics and spectrum as a function of height are also presented. As such, the present study compliments the rich base of contributions that have emanated from SLTEST over the past decade, including Klewicki et al (1995), Kurien et al (2001), , Metzger et al ( , 2003, Hommema & Adrian (2003), Priyadarshana & Klewicki (2004), Kunkel & Marusic (2006), Hutchins & Marusic (submitted) and Metzger (2006).…”

Section: Introductionsupporting

confidence: 69%

The near-neutral atmospheric surface layer: turbulence and non-stationarity

Metzger

McKeon

Holmes

2007

Phil. Trans. R. Soc. A.

106

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The neutrally stable atmospheric surface layer is used as a physical model of a very high Reynolds number, canonical turbulent boundary layer. Challenges and limitations with this model are addressed in detail, including the inherent thermal stratification, surface roughness and non-stationarity of the atmosphere. Concurrent hot-wire and sonic anemometry data acquired in Utah's western desert provide insight to Reynolds number trends in the axial velocity statistics and spectra.

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Section: Introductionsupporting

confidence: 69%

The near-neutral atmospheric surface layer: turbulence and non-stationarity

Metzger

McKeon

Holmes

2007

Phil. Trans. R. Soc. A.

106

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“…As previously mentioned, however, measurements at the SLTEST site are of unusually high resolution, even when compared to low Reynolds number studies. These High Reynolds number turbulence studies in the ASL over western Utah 51 results also compare favorably with the similarity analysis predictions of Marusic et al, 1997. The high spatial resolution afforded at the SLTEST site also allows for the accurate measurement of velocity and scalar gradient fluctuations ( Folz, 1997;Metzger et al, 2002;Priyadarshana and Klewicki, 2002). For example, through the use of existing high resolution, low Ro data and high Ro data from the SLTEST site were able to show that the peak inner normalized axial intensity exhibits a logarithmic dependence on Ro.…”

Section: Thermal Stratification Effectssupporting

confidence: 62%

IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow

Smits¹

2004

Fluid Mechanics and Its Applications

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The purp ose of this series is to focu s on subje cts in which fluid mechanics play s a fundam ental role.As well as the more traditional applications of aeronautics, hydraulics, heat and mass transfer etc ., books will be publi shed dealing with topic s which are currently in a state of rapid development , such as turbul ence, suspensions and multi pha se fluid s, super and hypersonic flows and nume rical modelling techn iques.

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“…Regarding the former, it is apparent that given any two of the three length scales, the third may be determined. Regarding the latter, it would seem that geometric mean (intermediate or mixed) scalings, often empirically identified as being superior to either inner or outer scalings (Alfredsson & Johansson 1984;Afzal 1984b;Klewicki & Falco 1996;DeGraaff & Eaton 2000;Metzger, Klewicki & Priyadarshana 2003), but just as often discounted owing to their purported lack of physical significance or theoretical justification, e.g. Gad-el-Hak & Bandyopadhyay (1994), are worthy of continuing investigation.…”

Section: Theoretical Implicationsmentioning

confidence: 99%

Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows

et al. 2005

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The properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows are explored both experimentally and theoretically. Available highquality data reveal a dynamically relevant four-layer description that is a departure from the mean profile four-layer description traditionally and nearly universally ascribed to turbulent wall flows. Each of the four layers is characterized by a predominance of two of the three terms in the governing equations, and thus the mean dynamics of these four layers are unambiguously defined. The inner normalized physical extent of three of the layers exhibits significant Reynolds-number dependence. The scaling properties of these layer thicknesses are determined. Particular significance is attached to the viscous/Reynolds-stress-gradient balance layer since its thickness defines a required length scale. Multiscale analysis (necessarily incomplete) substantiates the four-layer structure in developed turbulent channel flow. In particular, the analysis verifies the existence of at least one intermediate layer, with its own characteristic scaling, between the traditional inner and outer layers. Other information is obtained, such as (i) the widths (in order of magnitude) of the four layers, (ii) a flattening of the Reynolds stress profile near its maximum, and (iii) the asymptotic increase rate of the peak value of the Reynolds stress as the Reynolds number approaches infinity. Finally, on the basis of the experimental observation that the velocity increments over two of the four layers are unbounded with increasing Reynolds number and have the same order of magnitude, there is additional theoretical evidence (outside traditional arguments) for the asymptotically logarithmic character of the mean velocity profile in two of the layers; and (in order of magnitude) the mean velocity increments across each of the four layers are determined. All of these results follow from a systematic train of reasoning, using the averaged momentum balance equation together with other minimal assumptions, such as that the mean velocity increases monotonically from the wall.

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Reynolds Number Dependencies in Boundary Layer Axial Stress and Scalar Variance Transport

Cited by 4 publications

References 5 publications

The near-neutral atmospheric surface layer: turbulence and non-stationarity

The near-neutral atmospheric surface layer: turbulence and non-stationarity

IUTAM Symposium on Reynolds Number Scaling in Turbulent Flow

Properties of the mean momentum balance in turbulent boundary layer, pipe and channel flows

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