Abstract
Ultrasonic Velocity Profiler (UVP) provides velocity measurement along a line and is also applicable to flow fields which are optically inaccessible. The capability of UVP was extended from line measurement of velocity to pressure measurement in fluid flows (Tiwari and Murai in Exp Fluids 62:1–17, 2021). However, the position of UVP transducer was chosen rather arbitrarily, and no study has yet been conducted for the optimization of the location of UVP transducer in two-dimensional flows. In this study, a novel determinant greedy line selection method (DGLSM) is developed for the selection of the position of the ultrasonic transducer for effective measurement from UVP in two-dimensional fluid flows. The concept of line selection algorithm is motivated from sensor selection method (Manohar in IEEE Control Syst 38: 63–86, 2018; Saito et al in IEEE Access 9: 68535–68551, 2021). The present DGLSM algorithm provides the optimized lines for velocity measurement by UVP. The number of UVP lines and locations were optimized by analyzing their flow reconstruction capability. The demonstration of algorithm is performed in experimental velocity data of flow over cylinder. It was found that when the number of measurement lines becomes equal to the number of Proper Orthogonal Decomposition modes, the reconstruction accuracy becomes excellent.
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References
Andereck CD, Liu SS, Swinney HL (1986) Flow regimes in a circular Couette system with independently rotating cylinders. J Fluid Mech 164:155–183. https://doi.org/10.1017/S0022112086002513
Batsaikhan M, Hamdani A, Kikura H (2017) Visualisation of air–water bubbly column flow using array ultrasonic velocity profiler. Theor Appl Mech Lett 7:379–385. https://doi.org/10.1016/J.TAML.2017.09.014
Chaturantabut S, Sorensen DC (2010) Nonlinear model reduction via discrete empirical interpolation. SIAM J Sci Comput 32:2737–2764. https://doi.org/10.1137/090766498
Durgesh V, Naughton JW (2010) Multi-time-delay LSE-POD complementary approach applied to unsteady high-Reynolds-number near wake flow. Exp Fluids 49:571–583. https://doi.org/10.1007/S00348-010-0821-4
Kikura H, Shoji N, Takahashi H et al (2021) Ultrasonic measurement of two-dimensional liquid velocity profile using two-element transducer. J Flow Control, Meas vis 10:12–31. https://doi.org/10.4236/JFCMV.2022.101002
Manohar K, Brunton BW, Kutz JN, Brunton SL (2018) Data-driven sparse sensor placement for reconstruction: demonstrating the benefits of exploiting known patterns. IEEE Control Syst 38:63–86. https://doi.org/10.1109/MCS.2018.2810460
Manohar K, Kutz JN, Brunton SL (2022) Optimal sensor and actuator selection using balanced model reduction. IEEE Trans Automat Control 67:2108–2115. https://doi.org/10.1109/TAC.2021.3082502
Müller M, de Cesare G, Schleiss A (2012) One- and two-dimensional UVP velocity sampling in a cuboidal basin subject to in- and outflow sequences. Proc of the 8th international symposium on ultrasonic doppler methods for fluid mechanics and fluid engineering
Nomura S, Hitomi J, de Cesare G, et al (2018) Instantaneous flow vector measurement by a pair of ultrasound doppler instruments. In: 11th international symposium on ultrasonic doppler methods for fluid mechanics and fluid engineering Berlin, Germany. 5–7 September
Pokorny L, Kohler L, Takeda Y, Windhab EJ (2016) Stroboscopic two-dimensional ultrasonic velocity profiling for measuring flow transition in Taylor Couette systems. Flow Meas Instrum 52:137–143. https://doi.org/10.1016/J.FLOWMEASINST.2016.09.016
Saito Y, Nonomura T, Yamada K et al (2021) Determinant-based fast greedy sensor selection algorithm. IEEE Access 9:68535–68551. https://doi.org/10.1109/ACCESS.2021.3076186
Sashittal P, Bodony DJ (2021) Data-driven sensor placement for fluid flows. Theor Comput Fluid Dyn 35:709–729. https://doi.org/10.1007/S00162-021-00584-W
Takeda Y (1995) Velocity profile measurement by ultrasonic doppler method. Exp Therm Fluid Sci 10:444–453. https://doi.org/10.1016/0894-1777(94)00124-Q
Tan C, Murai Y, Liu W et al (2021) Ultrasonic doppler technique for application to multiphase flows: a review. Int J Multiph Flow 144:103811. https://doi.org/10.1016/J.IJMULTIPHASEFLOW.2021.103811
Tasaka Y, Yoshida T, Rapberger R, Murai Y (2018) Linear viscoelastic analysis using frequency-domain algorithm on oscillating circular shear flows for bubble suspensions. Rheol Acta 57:229–240. https://doi.org/10.1007/s00397-018-1074-z
Tiwari N, Murai Y (2021) Ultrasonic velocity profiler applied to explore viscosity–pressure fields and their coupling in inelastic shear-thinning vortex streets. Exp Fluids 62:1–17. https://doi.org/10.1007/s00348-021-03257-w
Tiwari N, Tasaka Y, Murai Y (2019) Pressure field estimation from ultrasound Doppler velocity profiler for vortex-shedding flows. Flow Meas Instrum 67:23–32. https://doi.org/10.1016/j.flowmeasinst.2019.03.009
Tiwari N, Tasaka Y, Murai Y (2021) PIV-based estimation of viscosity and pressure fields for a steady pseudoplastic flow. Flow Meas Instrum 77:101852. https://doi.org/10.1016/j.flowmeasinst.2020.101852
Tsuzuki N, Weerachon T, Kikura H et al (2014) Comparison between numerical and experimental for UVP measurement in double bent pipe with out-of-plane angle. J Flow Control, Meas vis 2:154–164. https://doi.org/10.4236/JFCMV.2014.24017
Wiklund J, Stading M (2008) Application of in-line ultrasound Doppler-based UVP–PD rheometry method to concentrated model and industrial suspensions. Flow Meas Instrum 19:171–179. https://doi.org/10.1016/J.FLOWMEASINST.2007.11.002
Wiklund J, Jeelani SAK, Stading MT, Windhab EJ (2012) In-line rheometry of particulate suspensions by pulsed ultra-sound velocimetry combined with pressure difference method. Appl Rheol. https://doi.org/10.3933/ApplRheol-22-42232
Yamada K, Saito Y, Nankai K et al (2021) Fast greedy optimization of sensor selection in measurement with correlated noise. Mech Syst Signal Process 158:107619. https://doi.org/10.1016/J.YMSSP.2021.107619
Yao H, Sun Y, Hemati MS (2022) Feedback control of transitional shear flows: sensor selection for performance recovery. Theor Comput Fluid Dyn 36:597–626. https://doi.org/10.1007/S00162-022-00616-Z/FIGURES/18
Yoshida T, Tasaka Y, Murai Y (2017) Rheological evaluation of complex fluids using ultrasonic spinning rheometry in an open container. J Rheol 61:537–549. https://doi.org/10.1122/1.4980852
Yoshida T, Tasaka Y, Murai Y (2019) Efficacy assessments in ultrasonic spinning rheometry: linear viscoelastic analysis on non-newtonian fluids. J Rheol 63:503–517. https://doi.org/10.1122/1.5086986
Zhang Z, Shoji N, Batsaikhan M, et al (2021b) Telemetry system for 2D flow map using ultrasonic velocity profiler. 2021b IEEE International IOT, Electronics and mechatronics conference, IEMTRONICS 2021b–Proceedings. https://doi.org/10.1109/IEMTRONICS52119.2021.9422628
Zsolt V, Nicolas A (2018) Flow limitation and riverbank protection design using asymmetrical flow mapping on a physical hydraulic model
Acknowledgements
This work was financially supported by Science and Engineering Research Board with Sanction Order No. RJF/2021/000118 (SER-1839-MID) under Ramanujan fellowship.
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This work was financially supported by Science and Engineering Research Board with Sanction Order No. RJF/2021/000118 (SER-1839-MID) under Ramanujan fellowship. The authors declare that the funding bodies have no role in the design of the study and collection, analysis, and interpretation of data and in writing the manuscript.
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Tiwari, N. Ultrasonic velocity profiler placement for flow over cylinder based on determinant greedy line selection method. Exp Fluids 64, 119 (2023). https://doi.org/10.1007/s00348-023-03661-4
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DOI: https://doi.org/10.1007/s00348-023-03661-4