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TECHNICAL PAPERS

Separate Effects of Mach Number and Reynolds Number on Jet Array Impingement Heat Transfer

[+] Author and Article Information
Jongmyung Park, Matt Goodro

Department of Mechanical Engineering, Convective Heat Transfer Laboratory, University of Utah, 50 S. Central Campus Drive, MEB 2110, Salt Lake City, UT 84112-9208

Phil Ligrani

Department of Engineering Sciences, Parks Road, University of Oxford, Oxford OX1 3PJ, UK

Mike Fox, Hee-Koo Moon

Aero/Thermal & Heat Transfer, Solar Turbines, Inc., 2200 Pacific Highway, P.O. Box 85376, Mail Zone C-9, San Diego, CA 92186-5376

J. Turbomach 129(2), 269-280 (May 31, 2006) (12 pages) doi:10.1115/1.2437774 History: Received May 27, 2006; Revised May 31, 2006

Limited available data suggest a substantial impact of Mach number on the heat transfer from an array of jets impinging on a surface at fixed Reynolds number. Many jet array heat transfer correlations currently in use are based on tests in which the jet Reynolds number was varied by varying the jet Mach number. Hence, this data may be inaccurate for high Mach numbers. Results from the present study are new and innovative because they separate the effects of jet Reynolds number and jet Mach number for the purposes of validating and improving correlations that are currently in use. The present study provides new data on the separate effects of Reynolds number and Mach number for an array of impinging jets in the form of discharge coefficients, local and spatially averaged Nusselt numbers, and local and spatially averaged recovery factors. The data are unique because data are given for impingement jet Mach numbers as high as 0.60 and impingement jet Reynolds numbers as high as 60,000, and because the effects of Reynolds number and Mach number are separated by providing data at constant Reynolds number because the Mach number is varied, and data at constant Mach number because the Reynolds number is varied. As such, the present data are given for experimental conditions not previously examined, which are outside the range of applicability of current correlations.

Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

Impingement flow facility

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Figure 2

Impingement flow facility test section, including impingement plenum and impingement channel

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Figure 3

Impingement test plate configuration

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Figure 4

Discharge coefficient data for Rej=30,000 and different Mach numbers, and for Ma=0.2 and different Reynolds numbers

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Figure 5

Convection heat power from front side (or impingement side) of the target plate qcf as it varies with (TW−Toj) for Rej=30,500 and Ma=0.2

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Figure 6

Comparison of baseline Nusselt number data with correlation of Florschuetz (9) for Rej=34,500, Ma approximately equal to 0, and an array of jets with X=5D, Y=4D, and Z=3D

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Figure 7

Spatially resolved distributions of surface Nusselt number for Ma=0.20, and Rej values of: (a) 11,100, (b) 17,300, (c) 30,500, and (d) 59,700

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Figure 8

Local surface Nusselt number variations for Ma=0.20, and Rej values of 11,100, 13,100, 17,300, 30,500, and 59,700: (a) Variations with y∕D for x∕D=32 and (b) variations with x∕D for y∕D=8 and y∕D=0

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Figure 9

Surface Nusselt number variations with x∕D, which are line averaged over y∕D from −8.0 to +8.0, for Ma=0.20, and Rej values of 11,100, 13,100, 17,300, 30,500, and 59,700

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Figure 10

Spatially resolved distributions of surface Nusselt number for Rej=30,000 and Ma values of: (a) 0.20, (b) 0.45, and (c) 0.60

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Figure 11

Local surface Nusselt number variations for Rej=30,000 and Ma values of 0.20, 0.35, 0.45, and 0.60: (a) variations with y∕D for x∕D=32 and (b) variations with x∕D for y∕D=8

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Figure 12

Surface Nusselt number variations with x∕D, which are line averaged over y∕D from −8.0 to +8.0, for Rej=30,000 and Ma values of 0.20, 0.35, 0.45, and 0.60

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Figure 13

Comparison of spatially averaged Nusselt numbers with correlation of Florschuetz (9): (a) Data for Ma=0.20 and Rej values of 11,100, 13,100, 17,300, 30,500, and 59,700; (b) data for Rej=30,000 and Ma values of 0.11, 0.20, 0.35, 0.45, and 0.60; and (c) Nusselt number correlation with Mach number

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Figure 14

Recovery factor data for Rej=30,000 and Ma=0.60: (a) Local surface recovery factor distribution; (b) local surface recovery factor data as it varies with x∕D for y∕D=0 and 4; and (c) local surface recovery factor data as it varies with y∕D for x∕D=32 and 56

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Figure 15

Corrected and uncorrected surface Nusselt number data for Rej=30,000 and Ma=0.60: (a) Local corrected surface Nusselt number distribution; (b) local surface Nusselt number data as it varies with x∕D for y∕D=4; and (c) surface Nusselt number variations with x∕D, which are line averaged over y∕D from −8.0 to +8.0

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