Velocity Field Measurement by Spatio-Temporal Derivative Method : 2nd report : Higher Order Approximation Method

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  • 可視化画像の時空間微分を利用した流場の画像計測(第2報) : 高次微分項を採用した場合
  • 可視化画像の時空間微分を利用した流場の画像計測-2-高次微分項を採用した場合
  • カシカ ガゾウ ノ ジクウカン ビブン オ リヨウシタ ナガレバ ノ ガゾウ

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Abstract

A spatio-temporal derivative method with higher order approximation is described. The spatio-temporal derivative method for flow field image measurement is well known as a high spatial resolution technique. Its governing equations are derived using Lagrange derivative, assuming that the visualized particle image pattern varies smoothly almost everywhere. Examining the formulation of governing equation and the brightness function of the flow image in detail, the authors try to extend this technique to the theory with higher order approximation. The obtained equation can be applied to the case that illumination intensity is not uniform in measurement area. An example of non-uniform illumination intensity was shown in the case of point illumination for flow around circular cylinder. The effects of illumination non-uniformity can be considered with some additional terms in governing equation. The effects of the higher order terms on the velocity field was also investigated, and it is found that the higher order approximation method gives good results when the control area is small.

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