Proper orthogonal decomposition applied to PIV data for the oblique transition in a Blasius boundary layer

Wiegel, M.; Fischer, Markus

doi:10.1117/12.221512

Cited by 3 publications

(2 citation statements)

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“…We now try to understand this behavior. Therefore we use hot-wire data taken on the same model for a different transition scenario, Wiegel and Fischer [9], where we find a similar behavior of the POD results for the PIV data. Though single hot-wire data are generally not suitable to provide instantaneous velocity fields, but for the case of a quasi-periodic flow we can apply hot-wire data.…”

Section: (6) Isupporting

confidence: 58%

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Flow field decomposition applied to experimental data obtained for a transitional boundary layer

Fischer¹,

Wiegel²,

Herberg³

et al. 1996

Appl. Sci. Res.

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Abstract. Using experimental data from Particle Image Velocimetry (PIV) measurements, coherent structures of a transitional spatially developing boundary layer are determined. The coherent structures are determined utilizing the Proper Orthogonal Decomposition (POD), which is based on an expansion of the flow field variables into a set of eigenfunctions or modes. For having constant and reproducible flow field conditions, the flow is artificially excited by means of periodic velocity fluctuations. The used excitation device allows the generation of different transition scenarios, where this paper focuses on the case of the fundamental transition. Phase locked excitation signals allow the recording of instantaneous velocity fields of the flow field at certain instants of time. It can be shown that PIV is a suitable technique to provide experimental data for POD. The results of the POD show that already a small number of modes cover most of the kinetic energy of the flow.

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Section: (6) Isupporting

confidence: 58%

“…Equation (9) shows that an eigenvalue represents two times the energy which the corresponding structure contributes to the flow. The first eigenvalue with the highest content of energy is typically related to the mean flow.…”

Section: (6) Imentioning

confidence: 99%