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Research Papers: Conduction

Inverse Heat Conduction Applied to the Measurement of Heat Fluxes on a Rotating Cylinder: Comparison Between an Analytical and a Numerical Technique

[+] Author and Article Information
Fabien Volle1

Cooling Technologies Research Center, Purdue University, West Lafayette, IN 47907-2088vfabien@purdue.edu

Michel Gradeck, Denis Maillet, Arsène Kouachi, Michel Lebouché

 Laboratoire d’Energétique et de Mécanique Théorique et Appliquée, Vandoeuvre-lès-Nancy, France

1

Corresponding author.

J. Heat Transfer 130(8), 081302 (Jun 10, 2008) (8 pages) doi:10.1115/1.2928013 History: Received February 23, 2007; Revised January 11, 2008; Published June 10, 2008

A method using either a one-dimensional analytical or a two-dimensional numerical inverse technique is developed for measurement of local heat fluxes at the surface of a hot rotating cylinder submitted to the impingement of a subcooled water jet. The direct model calculates the temperature field inside the cylinder that is submitted to a given nonuniform and time dependent heat flux on its outer surface and to a uniform surface heat source on an inner radius. In order to validate the algorithms, simulated temperature measurements inside the cylinder are processed and used by the two inverse techniques to estimate the wall heat flux. As the problem is improperly posed, regularization methods have been introduced into the analytical and numerical inverse algorithms. The numerical results obtained using the analytical technique compare well with the results obtained using the numerical algorithm, showing a good stable estimation of the available test solutions. Furthermore, real experimental data are used for the estimation, and local boiling curves are plotted and discussed.

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Copyright © 2008 by American Society of Mechanical Engineers
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Figures

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Figure 3

Variations of T(t) for r=r2 and γ(t=0)=π

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Figure 4

Exact and estimated heat flux for simulated temperature measurements at rTC=86.5mm, with γ(t=0)=0, σ=0.5°C, Nfts=3, and α=7×10−10m4K2W−2

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Figure 5

Experimental setup (not to scale)

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Figure 6

Experimental temperature and boiling curves for the static case in convection regime (——: 2D model; —⋅—: 1D model)

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Figure 7

Experimental temperature and boiling curves for the static case in boiling regime (——: 2D model ;—⋅—: 1D model)

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Figure 8

Temporal variations of φ2 for the rotating case, with ω≈15rad∕s and Tjet=36°C: (a) variations of φ2 for 0s<t<400s, (b) variations of φ2 for 400s<t<430s, and (c) comparison between temporal variations of φ2 estimated using 1D (——) and 2D (△) methods, for 418s<t<425s

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