volume | PIER Journals

2023-12-24

Laser-Based Estimation of the Diffusion Coefficient Profile for the Karman Turbulence Spectrum in Heated Wind Tunnel Jets Using Genetic Algorithm Computation

Jacques Bernard Tissibe,

Dr. Jacques Bernard Tissibe

Faculty of Science

University of Yaoundé I

Cameroon

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Noé Richard Makon,

Dr. Noé Richard Makon

Faculty of Science

University of Yaoundé I

Cameroon

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Maurice Lamara,

Dr. Maurice Lamara

Applied Mechanics Laboratory, Faculty of Science

University of Yaoundé I

Cameroon

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Elisabeth Ngo Nyobe,

Dr. Elisabeth Ngo Nyobe

Department of Mathematics and Physical Science

Universite de Yaounde I

Cameroun

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Elkana Pemha

Prof. Elkana Pemha

Faculte des Sciences

Universite de Yaounde I

Cameroun

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Progress In Electromagnetics Research C, Vol. 139, 167-174, 2024

doi:10.2528/PIERC23062001

Abstract

Turbulence is a longstanding problem in fluid mechanics for which experimentation remains unavoidable. In contrast to conventional experimental techniques that inevitably require the introduction of probes into the flow, a very convenient technique would be one in which there is no contact between the measuring sensors and the flow. The laser-based diagnostic technique reported in this work is described as an estimation of a large number of parameters defining the diffusion coefficient profile in the heated turbulent wind tunnel jet, which is required in the formula of the Karman turbulence spectrum for the jet under study. For this purpose, some required experiments in the jet are carried out. A laser beam is then sent perpendicular to the jet exhaust, and measurements of the probabilities of the position of the laser beam's impact on a photocell placed outside the jet are performed. Using the Markovian model, the same probabilities are calculated numerically. For these numerical results to agree with the experimental results, a numerical optimal-control strategy is applied. Due to the large number of unknown parameters searched, a genetic algorithm (GA) computation is performed. A good agreement observed between the GA results and those derived from the previously published cold-wire-anemometer data, combined with the use of the Dale-Gladstone law, proves the validity and accuracy of the laser-based genetic measurement technique.

Citation

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Jacques Bernard Tissibe, Noé Richard Makon, Maurice Lamara, Elisabeth Ngo Nyobe, and Elkana Pemha, "Laser-Based Estimation of the Diffusion Coefficient Profile for the Karman Turbulence Spectrum in Heated Wind Tunnel Jets Using Genetic Algorithm Computation," Progress In Electromagnetics Research C, Vol. 139, 167-174, 2024.
doi:10.2528/PIERC23062001

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