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Reconstruction of time-varying scalar source intensity based on sensing signal in turbulent channel flow

DOI: 10.1615/ICHMT.2015.THMT-15.110
pages 123-126

Davide Cerizza
Institute of Industrial Science, The University of Tokyo, 4-6-1 Komaba, Meguro-ku, Tokyo, 153-8505 Japan

W. Sekiguchi
Department of Mechanical Engineering, Tokyo University of Science, 2641 Yamazaki, Noda-shi, Chiba, 278-8510 Japan

Takahiro Tsukahara
Department of Mechanical Engineering, Tokyo University of Science, Noda-shi, Chiba 278-8510, Japan; Research Institute for Science and Technology, Tokyo University of Science, Noda-shi, Chiba 278-8510, Japan

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


We consider a turbulent channel flow, where a scalar point source varying its intensity with a sinusoid in time releases a substance that can be modeled as a passive scalar. Being the scalar source location known, our objective is to estimate the source intensity with time based on a sensor signal at different downstream distances from the source by applying an adjoint field approach. It is shown that the present approach reproduces the original coherent sinusoidal wave of the scalar source fairly well from a chaotic scalar signal corrected at a downstream location. Based on these results, we also discuss the effects of a pulsating frequency of the source and the source-sensor distance on the fundamental limit in the present inverse problem.

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