## Measuring 3D Velocity Vectors using the Transverse Oscillation Method

Publication: Research - peer-review › Article in proceedings – Annual report year: 2012

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**Measuring 3D Velocity Vectors using the Transverse Oscillation Method.** / Pihl, Michael Johannes; Jensen, Jørgen Arendt.

Publication: Research - peer-review › Article in proceedings – Annual report year: 2012

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*Proceedings of IEEE International Ultrasonics Symposium.*IEEE, pp. 1881-1885. DOI: 10.1109/ULTSYM.2012.0472

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*Proceedings of IEEE International Ultrasonics Symposium*(pp. 1881-1885). IEEE. DOI: 10.1109/ULTSYM.2012.0472

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*Proceedings of IEEE International Ultrasonics Symposium.*IEEE. 2012. 1881-1885. Available: 10.1109/ULTSYM.2012.0472

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TY - GEN

T1 - Measuring 3D Velocity Vectors using the Transverse Oscillation Method

AU - Pihl,Michael Johannes

AU - Jensen,Jørgen Arendt

PY - 2012

Y1 - 2012

N2 - Experimentally obtained estimates of threedimensional (3D) velocity vectors using the 3D Transverse Oscillation (TO) method are presented. The method employs a 2D transducer and synthesizes two double-oscillating fields in receive to obtain the axial, transverse, and elevation velocity components simultaneously. Experimental data are acquired using the ultrasound research scanner SARUS. The double-oscillating TO fields are investigated in an experimental scanning tank setup. The results demonstrate that the created fields only oscillate in the axial plus either the transverse or the elevation direction. Velocity measurements are conducted in an experimental flow-rig with steady flow in two different directions (mainly in x or y direction). Velocity estimates are obtained along the z axis. All three velocity components (vx, vy, vz) are measured with relative biases and standard deviations (normalized to expected value) below 5% and 12%, respectively. For an expected velocity magnitude of 25.2 cm/s, the method estimates 24.4±3.1 cm/s and 25.1±1.9 cm/s for the two directions. Under similar conditions, Field II simulations yield 25.1±1.5 cm/s and 25.4±1.6 cm/s. The experimental results validate the results obtained through simulations and verify that the 3D TO method estimates the full 3D velocity vectors simultaneously as well as the correct velocity magnitudes.

AB - Experimentally obtained estimates of threedimensional (3D) velocity vectors using the 3D Transverse Oscillation (TO) method are presented. The method employs a 2D transducer and synthesizes two double-oscillating fields in receive to obtain the axial, transverse, and elevation velocity components simultaneously. Experimental data are acquired using the ultrasound research scanner SARUS. The double-oscillating TO fields are investigated in an experimental scanning tank setup. The results demonstrate that the created fields only oscillate in the axial plus either the transverse or the elevation direction. Velocity measurements are conducted in an experimental flow-rig with steady flow in two different directions (mainly in x or y direction). Velocity estimates are obtained along the z axis. All three velocity components (vx, vy, vz) are measured with relative biases and standard deviations (normalized to expected value) below 5% and 12%, respectively. For an expected velocity magnitude of 25.2 cm/s, the method estimates 24.4±3.1 cm/s and 25.1±1.9 cm/s for the two directions. Under similar conditions, Field II simulations yield 25.1±1.5 cm/s and 25.4±1.6 cm/s. The experimental results validate the results obtained through simulations and verify that the 3D TO method estimates the full 3D velocity vectors simultaneously as well as the correct velocity magnitudes.

KW - Estimation

KW - Standards

KW - Transducers

KW - Ultrasonic imaging

KW - Ultrasonic variables measurement

KW - Vectors

KW - Velocity measurement

U2 - 10.1109/ULTSYM.2012.0472

DO - 10.1109/ULTSYM.2012.0472

M3 - Article in proceedings

SN - 9781467345613

SP - 1881

EP - 1885

BT - Proceedings of IEEE International Ultrasonics Symposium

PB - IEEE

ER -