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The nature of optimal and suboptimal controls in dissimilar heat and momentum turbulent transport

DOI: 10.1615/ICHMT.2012.ProcSevIntSympTurbHeatTransfPal.610
pages 562-566

Yosuke Hasegawa
Institute of Industrial Science, The University of Tokyo, Komaba 4-6-1, Meguro-ku, Tokyo 153-8505, Japan; Center of Smart Interfaces Technical University Darmstadt Petersenstr. 32, 64287 Darmstadt, Germany

A. Yamamoto
Department of Mechanical Engineering, The University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-8656, Japan

Nobuhide Kasagi
Center for Research and Development Strategy, Japan Science and Technology Agency; Department of Mechanical Engineering, The University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-8656, Japan

Sinopsis

Dissimilar heat transfer enhancement is achieved in a fully developed turbulent channel flow where the averaged momentum and heat transport equations have identical form. The spatio-temporal distribution of the wall blowing/suction is determined by the suboptimal and optimal control theories. Although the control performance achieved in the optimal control is better than that in the suboptimal control, the control inputs optimized by both strategies exhibit a similar downstream traveling wave-like property. The present results indicate that the essential difference between the divergence-free velocity vector and the conservative scalar is a key to achieve dissimilarity between momentum and heat transfer.

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