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RESEARCH PAPER

A Critical Assessment of Reynolds Analogy for Turbine Flows

[+] Author and Article Information
J. Bons

Brigham Young University, Provo, UT 84602-4201

J. Heat Transfer 127(5), 472-485 (May 25, 2005) (14 pages) doi:10.1115/1.1861919 History: Received March 05, 2004; Revised September 28, 2004; Online May 25, 2005
Copyright © 2005 by ASME
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References

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Figures

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Schematic of flat plate wind tunnel at AFRL
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Freestream velocity distribution for three pressure gradients in AFRL wind tunnel
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Variation in Reynolds analogy factor with pressure gradient for laminar boundary layer (Pr=0.71)
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Variation in Reynolds analogy factor with Reynolds number for laminar and turbulent boundary layers (Pr=0.71)
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Variation in normalized Reynolds analogy factor with pressure gradient for turbulent and laminar boundary layers (Pr=0.71). Data for Rex≅900,000.
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Sample 2D traces from each of the six scaled roughness surfaces. Surfaces are ordered top to bottom as listed in Table 1. Vertical scale is magnified and traces are offset vertically for clarity. For reference, the tunnel boundary layer thickness for zero pressure gradient is δ≅27 mm.
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ks/k versus ᾱf from 2D surface assessments of the six scaled roughness surfaces. Inset schematic shows 2D surface height representation for Eq. (19).
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Variation in normalized Reynolds analogy factor with kfα/θ for roughness models. Rex≅900,000.
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Variation in normalized Reynolds analogy factor with freestream turbulence (Tu). Data for Rex≅900,000.
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Comparison of combined roughness and pressure gradient effects with roughness only and with additive estimate. (a) change in St (b) change in cf. Changes in cf and St Data for Rex≅900,000.
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Boundary layer profiles for adverse pressure gradient (APG), zero pressure gradient (APG), zero pressure gradient (ZPG with low Tu), favorable pressure gradient (FPG), and high (11%) freestream turbulence (ZPG). Data for Rex≅900,000.
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Comparison of combined roughness and pressure gradient effects on (a) cf and (b) St plotted versus kfα/θ. Changes to cf and St normalized by smooth-wall values with pressure gradient. Data for Rex≅900,000.
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Variation in normalized Reynolds analogy factor with roughness and pressure gradient compared to roughness only. Data for adverse (APG) and favorable (FPG) pressure gradients. Rex≅900,000.
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Comparison of combined roughness and freestream turbulence (Tu) effects with roughness only and with additive estimate. (a) change in St (b) change in cf. Changes in cf and St normalized by smooth-wall, low Tu values. Data for Rex≅900,000.
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Comparison of combined roughness and freestream turbulence effects on (a) cf and (b) St plotted versus kfα/θ. Changes to cf and St normalized by smooth-wall values with turbulence. Data for Rex≅900,000.
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Variation in normalized Reynolds analogy factor with roughness and freestream turbulence (Tu) compared to roughness only. Rex≅900,000.

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