Abstract
The work presented in this paper combines multiple nonsynchronous planar measurements to reconstruct an estimate of a synchronous, instantaneous flow field of the whole measurement set. Temporal information is retained through the linear stochastic estimation (LSE) technique. The technique is described, applied, and validated with a simplified combustor and fuel swirl nozzles (FSN) geometry flow for which three-component, three-dimensional (3C3D) flow information is available. Using the 3C3D dataset, multiple virtual “planes” may be extracted to emulate single planar particle image velocimetry (PIV) measurements and produce the correlations required for LSE. In this example, multiple parallel planes are synchronized with a single perpendicular plane that intersects each of them. As the underlying dataset is known, it therefore can be directly compared to the estimated velocity field for validation purposes. The work shows that when the input time-resolved planar velocity measurements are first proper orthogonal decomposition (POD) filtered, high correlation between the estimations and the validation velocity volumes are possible. This results in estimated full volume velocity distributions, which are available at the same time instance as the input field—i.e., a time-resolved velocity estimation at the frequency of the single input plane. While 3C3D information is used in the presented work, this is necessary only for validation; in true application, planar technique would be used. The study concludes that provided the number of sensors used for input LSE exceeds the number of POD modes used for prefiltering, it is possible to achieve correlation greater than 99%.
Highlights
The study concludes that provided the number of sensors used for input linear stochastic estimation (LSE) exceeds the number of proper orthogonal decomposition (POD) modes used for pre-filtering, it is possible to achieve correlation greater than 99%
The understanding of downstream velocity behavior is crucial to the design and development of many flow devices such as fuel injector nozzles
The work presented in this paper introduces the statistical technique, linear stochastic estimation (LSE), to application of volumetric velocity reconstruction using time resolved planar particle image velocimetry (PIV) (3C2D) as an input
Summary
Time-volume estimation of velocity fields from nonsynchronous planar measurements using line ASME Paper Title: stochastic estimation.
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