Near-Wall Modeling of Turbulent Convective Heat Transport in Film Cooling of Turbine Blades With the Aid of Direct Numerical Simulation Data

[+] Author and Article Information
Djamel Lakehal

Institute of Energy Technology, Swiss Federal Institute of Technology Zurich, ETH-Zentrum/CLT, CH-8092 Zurich, Switzerlande-mail: lakehal@iet.mavt.ethz.ch

J. Turbomach 124(3), 485-498 (Jul 10, 2002) (14 pages) doi:10.1115/1.1482408 History: Received April 24, 2001; Revised April 02, 2002; Online July 10, 2002
Copyright © 2002 by ASME
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Normalized profiles in developed channel flow at Reτ=21129: (a) shear stress uv+; (b) turbulent kinetic energy k+; (b) dissipation rate ε+
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Correlation for near-wall turbulent Prandtl number Prt=g(y+) fitted against DNS data of Lu and Hetsroni 33 and Madavan and Rai 34
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(a) Grid and topology of the first test case; (b) the computational domain; and (c) the grid in the midplane of the symmetrical blade prototype
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Contours of wall film-cooling effectiveness η on the channel surface for M=0.5: calculations with various model variants (TLV, TLVA, and TLVA-Pr)
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Contours of local film-cooling effectiveness ηL on the symmetry plane for M=0.5: calculations with the TLV model and its anisotropic extension TLVA
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Formation of the secondary vortices at different locations x/D’s for M=0.5: calculations with various model variants (TLV, TLVA and TLVA-Pr)—(a) x/D=3, (b) x/D=15, (c) x/D=3, (d) x/D=15
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Comparison of ηc, the centerline film-cooling effectiveness (a), and 〈η〉, the laterally averaged film-cooling effectiveness (b) for M=0.5: calculations with various model variants (TLV, TLVA and TLVA-Pr)
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Comparison of the spanwise distributions of local film-cooling effectiveness ηL for M=0.5: calculations with various model variants
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Velocity vectors in mid-plane through injection hole for M=0.5 and 0.9: calculations with the TLV model
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Contours of film-cooling effectiveness for M=0.5 and 0.7: calculations with various model variants
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Laterally averaged film-cooling effectiveness for various M’s: calculations with various model variants



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