{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T19:55:33Z","timestamp":1772826933063,"version":"3.50.1"},"reference-count":29,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2015,12,10]],"date-time":"2015-12-10T00:00:00Z","timestamp":1449705600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51376049"],"award-info":[{"award-number":["51376049"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Zhejiang Key Discipline of Instrument Science and technology","award":["JL150501"],"award-info":[{"award-number":["JL150501"]}]},{"name":"Scientific Research Foundation of Graduate School of Southeast University","award":["YBJJ1305"],"award-info":[{"award-number":["YBJJ1305"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The online and continuous measurement of velocity, concentration and mass flow rate of pneumatically conveyed solid particles for the high-efficiency utilization of energy and raw materials has become increasingly significant. In this paper, an integrated instrumentation system for the velocity, concentration and mass flow rate measurement of dense phase pneumatically conveyed solid particles based on electrostatic and capacitance sensorsis developed. The electrostatic sensors are used for particle mean velocity measurement in combination with the cross-correlation technique, while the capacitance sensor with helical surface-plate electrodes, which has relatively homogeneous sensitivity distribution, is employed for the measurement of particle concentration and its capacitance is measured by an electrostatic-immune AC-based circuit. The solid mass flow rate can be further calculated from the measured velocity and concentration. The developed instrumentation system for velocity and concentration measurement is verified and calibrated on a pulley rig and through static experiments, respectively. Finally the system is evaluated with glass beads on a gravity-fed rig. The experimental results demonstrate that the system is capable of the accurate solid mass flow rate measurement, and the relative error is within \u22123%\u20138% for glass bead mass flow rates ranging from 0.13 kg\/s to 0.9 kg\/s.<\/jats:p>","DOI":"10.3390\/s151229843","type":"journal-article","created":{"date-parts":[[2015,12,14]],"date-time":"2015-12-14T02:57:29Z","timestamp":1450061849000},"page":"31023-31035","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":27,"title":["An Integrated Instrumentation System for Velocity, Concentration and Mass Flow Rate Measurement of Solid Particles Based on Electrostatic and Capacitance Sensors"],"prefix":"10.3390","volume":"15","author":[{"given":"Jian","family":"Li","sequence":"first","affiliation":[{"name":"Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, China"}]},{"given":"Ming","family":"Kong","sequence":"additional","affiliation":[{"name":"College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou 310018, China"}]},{"given":"Chuanlong","family":"Xu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, China"}]},{"given":"Shimin","family":"Wang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, China"}]},{"given":"Ying","family":"Fan","sequence":"additional","affiliation":[{"name":"School of Energy and Power Engineering, Lanzhou University of Technology, Lanzhou 730050, China"}]}],"member":"1968","published-online":{"date-parts":[[2015,12,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"589","DOI":"10.1016\/j.measurement.2011.01.013","article-title":"Review of techniques for the mass flow rate measurement of pneumatically conveyed solids","volume":"44","author":"Zheng","year":"2011","journal-title":"Measurement"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1016\/j.flowmeasinst.2005.03.011","article-title":"In-line measurement of pneumatically conveyed particles by a light transmission fluctuation method","volume":"16","author":"Cai","year":"2005","journal-title":"Flow Meas. Instrum."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/0032-5910(95)03081-6","article-title":"Measurements of solids concentration and axial solids velocity in gas-solid two-phase flows","volume":"87","author":"Nieuwland","year":"1996","journal-title":"Powder Technol."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.sna.2008.11.010","article-title":"Velocity measurement of pneumatically conveyed particles through digital imaging","volume":"149","author":"Song","year":"2009","journal-title":"Sens. Actuators A Phys."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1433","DOI":"10.1109\/TIM.2005.851195","article-title":"An instrumentation system using combined sensing strategies for online mass flow rate measurement and particle sizing","volume":"54","author":"Carter","year":"2005","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1016\/j.powtec.2006.10.040","article-title":"Flow regime determination in horizontal pneumatic transport of fine powders using non-intrusive acoustic probes","volume":"172","author":"Albion","year":"2007","journal-title":"Powd. Technol."},{"key":"ref_7","first-page":"136","article-title":"Use of the attenuation of acoustic pulsed waves for concentration measurement in gas-solid pipe flow","volume":"93","author":"Tallon","year":"1997","journal-title":"AIChE Symp. Ser."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"1515","DOI":"10.1088\/0957-0233\/12\/9\/319","article-title":"A parallel-beam radiometric instrumentation system for the mass flow measurement of pneumatically conveyed solids","volume":"12","author":"Barratt","year":"2001","journal-title":"Meas. Sci. Technol."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"7","DOI":"10.11113\/jt.v70.3453","article-title":"Review of Electrostatic Sensor Applications","volume":"70","author":"Tajdari","year":"2014","journal-title":"J. Teknol."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"515","DOI":"10.1088\/0957-0233\/6\/5\/013","article-title":"Velocity measurement of pneumatically conveyed solids using electrodynamic sensors","volume":"6","author":"Yan","year":"1995","journal-title":"Meas. Sci. Technol."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1418","DOI":"10.1109\/TIA.2008.2002276","article-title":"Electrostatic nonintrusive method for measuring the electric charge, mass flow rate, and velocity of particulates in the two-phase gas\u2013solid pipe flows\u2014its only or as many as 50 years of historical evolution","volume":"44","author":"Gajewski","year":"2008","journal-title":"IEEE Trans. Ind. Appl."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1016\/j.flowmeasinst.2014.06.001","article-title":"Pulverized coal flow metering on a full-scale power plant using electrostatic sensor arrays","volume":"40","author":"Qian","year":"2014","journal-title":"Flow Meas. Instrum."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1016\/j.ijmultiphaseflow.2014.11.004","article-title":"Velocity characterization of dense phase pneumatically conveyed solid particles in horizontal pipeline through an integrated electrostatic sensor","volume":"76","author":"Li","year":"2015","journal-title":"Int. J. Multiph. Flow"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/S0955-5986(97)00022-8","article-title":"An intelligent cross correlator for pipeline flow velocity measurement","volume":"8","author":"Yang","year":"1998","journal-title":"Flow Meas. Instrum."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1133","DOI":"10.1016\/j.elstat.2005.02.006","article-title":"Theoretical and experimental studies of the spatial sensitivity of an electrostatic pulverised fuel meter","volume":"63","author":"Zhang","year":"2005","journal-title":"J. Electrost."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1016\/j.flowmeasinst.2012.03.006","article-title":"A spatial filtering velocimeter for solid particle velocity measurement based on linear electrostatic sensor array","volume":"26","author":"Xu","year":"2012","journal-title":"Flow Meas. Instrum."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1016\/j.measurement.2014.03.037","article-title":"Spatial filtering characteristics of electrostatic sensor matrix for local velocity measurement of pneumatically conveyed particles","volume":"53","author":"Li","year":"2014","journal-title":"Measurement"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"815","DOI":"10.1016\/S0301-9322(97)00020-7","article-title":"Void fraction measurements in gas-liquid flows under 1-g and \u03bc-g conditions using capacitance sensors","volume":"23","author":"Elkow","year":"1997","journal-title":"Int. J. Multiph. Flow"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/j.flowmeasinst.2005.11.001","article-title":"A novel capacitive system for the concentration measurement of pneumatically conveyed pulverized fuel at power stations","volume":"17","author":"Hu","year":"2006","journal-title":"Flow Meas. Instrum."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/S0955-5986(00)00023-6","article-title":"Role of tomography in gas\/solids flow measurement","volume":"11","author":"Yang","year":"2000","journal-title":"Flow Meas. Instrum."},{"key":"ref_21","unstructured":"Arko, A., Waterfall, R.C., Beck, M.S., Dyakowski, T., Sutcliffe, P., and Byars, M. (1999, January 14\u201317). Development of Electrical Capacitance Tomography for Solids Mass Flow Measurement and Control of Pneumatic Conveying Systems. Proceedings of the 1st World Congress on Industrial Process Tomography, Buxton, Greater Manchester, UK."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1268","DOI":"10.1109\/TIM.2010.2040901","article-title":"Parameter selection in cross-correlation-based velocimetry using circular electrostatic sensors","volume":"59","author":"Zhang","year":"2010","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_23","unstructured":"Xu, L.A. (1988). Cross-Correlation Flow Measurement Technique, Tianjin University Publishing House."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1016\/j.flowmeasinst.2004.04.002","article-title":"Capacitance sensor for void fraction measurement in water\/steam flows","volume":"15","author":"Jaworek","year":"2004","journal-title":"Flow Meas. Instrum."},{"key":"ref_25","first-page":"2292","article-title":"Sensitivity analysis of capacitance sensor with helical shaped surface plates","volume":"62","author":"Li","year":"2011","journal-title":"CIESC J."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1109\/TIM.1980.4314856","article-title":"The use of capacitance sensors for phase percentage determination in multiphase pipelines","volume":"29","author":"Abouelwafa","year":"1980","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1016\/S0955-5986(98)00006-5","article-title":"Capacitance sensor design for reducing errors in phase concentration measurements","volume":"9","author":"Tollefsen","year":"1998","journal-title":"Flow Meas. Instrum."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1049\/ip-smt:19990008","article-title":"New AC-based capacitance tomography system","volume":"146","author":"Yang","year":"1999","journal-title":"IEE Proc. Sci. Meas. Technol."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/j.measurement.2015.08.017","article-title":"Influence of particle electrification on AC-based capacitance measurement and its elimination","volume":"76","author":"Li","year":"2015","journal-title":"Measurement"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/12\/29843\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T20:53:48Z","timestamp":1760216028000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/12\/29843"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,12,10]]},"references-count":29,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2015,12]]}},"alternative-id":["s151229843"],"URL":"https:\/\/doi.org\/10.3390\/s151229843","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,12,10]]}}}