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Symmetric velocity profiles reconstruction in channels with a circular cross-section by ultrasonic flow measurements. (English) Zbl 1194.76247

Summary: This article presents an effective approach to the problem of full characterization and reconstruction of flow velocity profiles at each point of a circular cross-section of a transport channel in a radial symmetry case. The approach is based on the application of special multi-sensor flow meters designed for high-precision measurements of differences between the propagation times in ultrasonic signals recorded in parallel measurement planes and on solving an Abel-type integral equation - a well-known ill-posed problem. In our case, the problem can be formulated as a well-posed one according to Tikhonov by a reasonable use of a priori information about the velocity distribution. A practical algorithm is provided for determining an error in the reconstructed profile. All algorithms considered in the study can be utilized in the case of limited experimental data.

MSC:

76N15 Gas dynamics (general theory)
76M25 Other numerical methods (fluid mechanics) (MSC2010)
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[1] DOI: 10.1088/0266-5611/16/2/316 · Zbl 1157.76381 · doi:10.1088/0266-5611/16/2/316
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