Abstract
The present paper reports on the application of Principal Component Analysis (PCA) on the flow and thermal fields generated by the large-eddy simulation (LES) of a square ribbed duct heated by a constant heat flux applied over the bottom surface of the duct. PCA allows to understand the complexity of the resulting turbulent heat transfer process, identifying the flow and thermal quantities which are most relevant to the process. Different algorithms have been employed to perform this analysis, showing high correlation between turbulent coherent structures, identified by Q − criterion, and the heat transfer quantified by the non-dimensional magnitude Enhancement Factor (EF), both identified as Principal Variables (PV) of the process.
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References
Han, J.C., Dutta, S., Ekkad, S.V.: Gas turbine heat transfer and cooling technology. Taylor & Frances (2000)
Hunt, J.C.R., Wray, A.A., Moin, P.: Eddies, stream, and convergence zones in turbulent flows. Center for Turbulence Research Report, p. 193 (1988)
Jolliffe, I.T.: Principal component analysis. Springer, New York (1986)
Kaiser, H.F.: The varimax criterion for analytic rotation in factor analysis. Psychometrika 23, 187–200 (1958)
Krzanowski, W.: Selection of variables to preserve multivariate structure, using principal components. Applied Statistics 36, 22–33 (1987)
Lohász, M.M., Rambaud, P., Benocci, C.: Flow features in a fully developed ribbed duct flow as a result of les. Journal of Flow, Turbulence and Combustion 77, 59–76 (2007)
McCabe, G.P.: Principal variables. Technometrics 26, 137–144 (1984)
Nakhle, D., Rambaud, P., Benocci, C., Arts, T.: Numerical investigation of flow and heat transfer in ribbed square duct applying les. In: 10th International Symposium on Experimental and Computational Aerothermodynamics of Internal Flows - Proceeding of ISAIF10, Bruxelles, Belgium, July 4-7 (2011)
Parente, A.: Experimental and numerical investigation of advanced systems for hydrogen-based fuel combustion. PhD Thesis, University of Pisa (2008)
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© 2014 Springer International Publishing Switzerland
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Le Clainche Martínez, S., Benocci, C., Parente, A. (2014). Principal Component Analysis on a LES of a Squared Ribbed Channel. In: Herrero, Á., et al. International Joint Conference SOCO’13-CISIS’13-ICEUTE’13. Advances in Intelligent Systems and Computing, vol 239. Springer, Cham. https://doi.org/10.1007/978-3-319-01854-6_27
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DOI: https://doi.org/10.1007/978-3-319-01854-6_27
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-01853-9
Online ISBN: 978-3-319-01854-6
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