{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,3]],"date-time":"2026-04-03T21:15:11Z","timestamp":1775250911683,"version":"3.50.1"},"reference-count":28,"publisher":"MDPI AG","issue":"7","license":[{"start":{"date-parts":[[2019,4,6]],"date-time":"2019-04-06T00:00:00Z","timestamp":1554508800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003471","name":"Harbin Engineering University","doi-asserted-by":"publisher","award":["SSJSWDZC2018009"],"award-info":[{"award-number":["SSJSWDZC2018009"]}],"id":[{"id":"10.13039\/501100003471","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>To measure the flow velocity of a fluid without affecting its motion state, a method was proposed based on a polyvinylidene fluoride (PVDF) piezoelectric film sensor. A self-made PVDF piezoelectric sensor placed parallel with the flow direction was used to measure the flow velocity. First, the piezoelectric characteristics of PVDF were obtained theoretically. Next, the relationship between flow velocity and sound pressure was verified numerically. Finally, the relationship between flow velocity and the electrical output of the PVDF piezoelectric film was obtained experimentally. In conclusion, the proposed method was shown to be reliable and effective.<\/jats:p>","DOI":"10.3390\/s19071657","type":"journal-article","created":{"date-parts":[[2019,4,8]],"date-time":"2019-04-08T11:54:52Z","timestamp":1554724492000},"page":"1657","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":41,"title":["A Flow Velocity Measurement Method Based on a PVDF Piezoelectric Sensor"],"prefix":"10.3390","volume":"19","author":[{"given":"Qi","family":"Li","sequence":"first","affiliation":[{"name":"Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China"},{"name":"Key Laboratory of Marine Information Acquisition and Security (Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China"},{"name":"College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China"}]},{"given":"Junhua","family":"Xing","sequence":"additional","affiliation":[{"name":"Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China"},{"name":"Key Laboratory of Marine Information Acquisition and Security (Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China"},{"name":"College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China"}]},{"given":"Dajing","family":"Shang","sequence":"additional","affiliation":[{"name":"Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China"},{"name":"Key Laboratory of Marine Information Acquisition and Security (Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China"},{"name":"College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China"}]},{"given":"Yilin","family":"Wang","sequence":"additional","affiliation":[{"name":"Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China"},{"name":"Key Laboratory of Marine Information Acquisition and Security (Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China"},{"name":"College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China"}]}],"member":"1968","published-online":{"date-parts":[[2019,4,6]]},"reference":[{"key":"ref_1","unstructured":"Werkmann, K.H., and Sauerschell, W. (1983). Flow Meter Having a Rotary Body. (4,393,724), U.S. Patent."},{"key":"ref_2","first-page":"7","article-title":"The improvement about transducer and circuit of rotational flow velocity instrument","volume":"10","author":"Ma","year":"1995","journal-title":"Autom. Instrum."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"272","DOI":"10.1175\/1520-0426(1998)015<0272:EOTADV>2.0.CO;2","article-title":"Evaluation of the acoustic Doppler velocimeter (ADV) for turbulence measurements","volume":"15","author":"Voulgaris","year":"1998","journal-title":"J. Atmos. Ocean. Technol."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"1247","DOI":"10.1002\/(SICI)1096-9837(199812)23:13<1247::AID-ESP930>3.0.CO;2-D","article-title":"Three-dimensional measurement of river channel flow processes using acoustic Doppler velocimetry","volume":"23","author":"Lane","year":"1998","journal-title":"Earth Surf. Process. Landf. J. Br. Geomorph. Group"},{"key":"ref_5","unstructured":"Liu, D. (2010). Research on the Key Technology of Acoustic Doppler Current Velocity Measurement, Harbin Engineering University. (In Chinese)."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"975","DOI":"10.1143\/JJAP.8.975","article-title":"The piezoelectricity of polyvinylidene fluoride","volume":"8","author":"Kawai","year":"1969","journal-title":"Jpn. J. Appl. Phys."},{"key":"ref_7","first-page":"32","article-title":"PZT\/polymer flexible composites for embedded actuator and sensor applications","volume":"3675","author":"Kowbel","year":"1999","journal-title":"SPIE"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"2273","DOI":"10.1121\/1.406583","article-title":"Underwater PVDF acoustic intensity probe","volume":"93","author":"Hughes","year":"1993","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"16641","DOI":"10.3390\/s120810500","article-title":"A four-quadrant PVDF transducer for surface acoustic wave detection","volume":"12","author":"Lu","year":"2012","journal-title":"Sensors"},{"key":"ref_10","first-page":"4","article-title":"Dynamic response of PVDF thin film under pulse pressure","volume":"8","author":"Yuan","year":"2011","journal-title":"Instrum. Technol. Sens."},{"key":"ref_11","first-page":"155","article-title":"The self-noise response of a large-planar PVDF hydrophone to turbulent boundary layer pressure fluctuation","volume":"2","author":"Ge","year":"1999","journal-title":"Acta Acust."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"365","DOI":"10.1007\/s00348-006-0135-8","article-title":"Development of a PVDF sensor array for measurement of the impulsive pressure generated by cavitation bubble collapse","volume":"41","author":"Wang","year":"2006","journal-title":"Exp. Fluids"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1016\/j.sna.2007.03.026","article-title":"Flapping wings with PVDF sensors to modify the aerodynamic forces of a micro aerial vehicle","volume":"139","author":"Yang","year":"2007","journal-title":"Sens. Actuators A Phys."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Tanaka, Y., Nguyen, D.P., Fukuda, T., and Sano, A. (2015, January 22\u201326). Wearable skin vibration sensor using a PVDF film. Proceedings of the 2015 IEEE World Haptics Conference (WHC), Evanston, IL, USA.","DOI":"10.1109\/WHC.2015.7177705"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Dung, C., and Sasaki, E. (2016). Numerical simulation of output response of PVDF sensor attached on a cantilever beam subjected to impact loading. Sensors, 16.","DOI":"10.3390\/s16050601"},{"key":"ref_16","unstructured":"Li, H. (2011). Research on Piezoelectric Intelligent Materials for Real-Time Monitoring of Flow Velocity and Pressure. [Master\u2019s Thesis, Harbin Engineering University]. (In Chinese)."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"741","DOI":"10.1017\/S0022112067001740","article-title":"The structure of turbulent boundary layers","volume":"30","author":"Kline","year":"1967","journal-title":"J. Fluid Mech."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1243\/JMES_JOUR_1980_022_043_02","article-title":"Natural transition of boundary layers\u2014The effects of turbulence, pressure gradient, and flow history","volume":"22","author":"Shaw","year":"1980","journal-title":"J. Mech. Eng. Sci."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"776","DOI":"10.1121\/1.1905101","article-title":"Wall pressure fluctuations in a turbulent boundary layer","volume":"28","author":"Willmarth","year":"1958","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_20","unstructured":"Ling, F. (2013). Vibration and Noise of Submarine Model Excited by TBL Fluctuating Pressure. [Master\u2019s Thesis, Dalian University of Technology]. (In Chinese)."},{"key":"ref_21","first-page":"416","article-title":"Experimental investigation on flow-induced noise of the underwater hydrofoil structure","volume":"37","author":"Shang","year":"2012","journal-title":"Acta Acust."},{"key":"ref_22","first-page":"259","article-title":"Flow-induced interior noise from a turbulent boundary layer of a towed body","volume":"3","author":"Abshagen","year":"2016","journal-title":"Adv. Aircr. Spacecr. Sci."},{"key":"ref_23","first-page":"351","article-title":"Vibration, testing and diagnosis","volume":"33","author":"Chu","year":"2013","journal-title":"J. Vib. Meas. Diagn."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1002","DOI":"10.1016\/j.eurpolymj.2004.11.022","article-title":"Micropatterning of semicrystalline poly (vinylidene fluoride) solutions","volume":"41","author":"Youn","year":"2005","journal-title":"Eur. Polym. J."},{"key":"ref_25","first-page":"152","article-title":"A review of progress for hydrodynamic noise of ships","volume":"11","author":"Yu","year":"2007","journal-title":"J. Ship Mech."},{"key":"ref_26","unstructured":"Song, H. (2015). Study on Noise Mechanism of Underwater Open Airfoil and Nozzle Flow. [Master\u2019s Thesis, Harbin Engineering University]. (In Chinese)."},{"key":"ref_27","first-page":"55","article-title":"Three-dimensional simulation and validation of the flow-induced noise based on Lighthill\u2019s acoustic analogy theory","volume":"36","author":"Zhang","year":"2014","journal-title":"Ship Sci. Technol."},{"key":"ref_28","first-page":"47","article-title":"Analysis of underwater jet noise prediction method based on large eddy simulation","volume":"37","author":"Wang","year":"2017","journal-title":"Noise Vib. 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