{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T00:16:47Z","timestamp":1771978607148,"version":"3.50.1"},"reference-count":31,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2016,8,4]],"date-time":"2016-08-04T00:00:00Z","timestamp":1470268800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Optical feedback interferometry (OFI) is a compact sensing technique with recent implementation for flow measurements in microchannels. We propose implementing OFI for the analysis at the microscale of multiphase flows starting with the case of parallel flows of two immiscible fluids. The velocity profiles in each phase were measured and the interface location estimated for several operating conditions. To the authors knowledge, this sensing technique is applied here for the first time to multiphase flows. Theoretical profiles issued from a model based on the Couette viscous flow approximation reproduce fairly well the experimental results. The sensing system and the analysis presented here provide a new tool for studying more complex interactions between immiscible fluids (such as liquid droplets flowing in a microchannel).<\/jats:p>","DOI":"10.3390\/s16081233","type":"journal-article","created":{"date-parts":[[2016,8,4]],"date-time":"2016-08-04T10:17:33Z","timestamp":1470305853000},"page":"1233","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":22,"title":["Optical Feedback Interferometry for Velocity Measurement of Parallel Liquid-Liquid Flows in a Microchannel"],"prefix":"10.3390","volume":"16","author":[{"given":"Evelio","family":"Ram\u00edrez-Miquet","sequence":"first","affiliation":[{"name":"LAAS-CNRS, Universit\u00e9 de Toulouse, CNRS, INP, Toulouse F-31400, France"},{"name":"Centro de Aplicaciones Tecnol\u00f3gicas y Desarrollo Nuclear (CEADEN), Calle 30 No. 502, Miramar, La Habana 11300, Cuba"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2934-5048","authenticated-orcid":false,"given":"Julien","family":"Perchoux","sequence":"additional","affiliation":[{"name":"LAAS-CNRS, Universit\u00e9 de Toulouse, CNRS, INP, Toulouse F-31400, France"}]},{"given":"Karine","family":"Loubi\u00e8re","sequence":"additional","affiliation":[{"name":"Laboratoire de G\u00e9nie Chimique, Universit\u00e9 de Toulouse, CNRS, INPT, UPS, 4 all\u00e9e Emile Monso, BP 84234, Toulouse F-31432, France"}]},{"given":"Cl\u00e9ment","family":"Tronche","sequence":"additional","affiliation":[{"name":"LAAS-CNRS, Universit\u00e9 de Toulouse, CNRS, INP, Toulouse F-31400, France"}]},{"given":"Laurent","family":"Prat","sequence":"additional","affiliation":[{"name":"Laboratoire de G\u00e9nie Chimique, Universit\u00e9 de Toulouse, CNRS, INPT, UPS, 4 all\u00e9e Emile Monso, BP 84234, Toulouse F-31432, France"}]},{"given":"Oscar","family":"Sotolongo-Costa","sequence":"additional","affiliation":[{"name":"Instituto de Investigaci\u00f3n en Ciencias B\u00e1sicas y Aplicadas, Universidad Aut\u00f3noma del Estado de Morelos, Cuernavaca 62209, Mexico"},{"name":"C\u00e1tedra de Sistemas Complejos Henri Poincar\u00e9, Universidad de La Habana, La Habana 10400, Cuba"}]}],"member":"1968","published-online":{"date-parts":[[2016,8,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"4052","DOI":"10.1002\/aic.11029","article-title":"Liquid-liquid two-phase flow patterns in a rectangular microchannel","volume":"52","author":"Zhao","year":"2006","journal-title":"AIChE J."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"886","DOI":"10.3390\/mi5040886","article-title":"Modeling and Optimization of Y-Type Micromixers","volume":"5","author":"Rudyak","year":"2014","journal-title":"Micromachines"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Fontes, M., G\u00fcnther, M., and Marheineke, N. (2014). Progress in Industrial Mathematics at ECMI 2012, Springer International Publishing.","DOI":"10.1007\/978-3-319-05365-3"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"499","DOI":"10.1007\/s10404-011-0891-5","article-title":"Hydrodynamic cavitation in micro channels with channel sizes of 100 and 750 micrometers","volume":"12","author":"Rooze","year":"2012","journal-title":"Microfluid. Nanofluid."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1016\/j.ces.2013.11.009","article-title":"Experiments of mass transfer with liquid-liquid slug flow in square microchannels","volume":"105","author":"Raimondi","year":"2014","journal-title":"Chem. Eng. Sci."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1002\/apj.127","article-title":"On the hydrodynamics of liquid-liquid slug flow capillary microreactors","volume":"3","author":"Kashid","year":"2008","journal-title":"Asia Pac. J. Chem. Eng."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1147","DOI":"10.1016\/j.ijmultiphaseflow.2011.06.004","article-title":"Viscous oil-water flows in a microchannel initially saturated with oil: Flow patterns and pressure drop characteristics","volume":"37","author":"Foroughi","year":"2011","journal-title":"Int. J. Multiph. Flow"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"557","DOI":"10.1146\/annurev-fluid-121108-145427","article-title":"Recent advances in micro-particle image velocimetry","volume":"42","author":"Wereley","year":"2010","journal-title":"Annu. Rev. Fluid Mech."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/s10404-012-1029-0","article-title":"Flow profile measurement in microchannel using the optical feedback interferometry sensing technique","volume":"14","author":"Campagnolo","year":"2013","journal-title":"Microfluid. Nanofluid."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/j.mvr.2012.08.006","article-title":"Velocimetry of red blood cells in microvessels by the dual-slit method: Effect of velocity gradients","volume":"84","author":"Roman","year":"2012","journal-title":"Microvasc. Res."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1080\/10255842.2012.713651","article-title":"A new optical feedback interferometer for measuring red blood cell velocity distributions in individual capillaries: A feasibility study in microchannels","volume":"15","author":"Campagnolo","year":"2012","journal-title":"Comput. Methods Biomech. Biomed. Eng."},{"key":"ref_12","first-page":"1","article-title":"Optical Feedback Interferometry","volume":"X","author":"Bosch","year":"2005","journal-title":"Encycl. Sens."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"184","DOI":"10.1109\/TMECH.2012.2226739","article-title":"Runout tracking in electric motors using self-mixing interferometry","volume":"19","author":"Atashkhooei","year":"2014","journal-title":"IEEE\/ASME Trans. Mechatron."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"195","DOI":"10.1109\/JSEN.2015.2478755","article-title":"Real-time algorithm for versatile displacement sensors based on self-mixing interferometry","volume":"16","author":"Arriaga","year":"2016","journal-title":"IEEE Sens. J."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Donati, S., and Norgia, M. (2014). Self-Mixing Interferometry for Biomedical Signals Sensing. IEEE J. Sel. Top. Quantum Electron., 20.","DOI":"10.1109\/JSTQE.2013.2270279"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1088\/0967-3334\/34\/2\/281","article-title":"On the feasibility of self-mixing interferometer sensing for detection of the surface electrocardiographic signal using a customized electro-optic phase modulator","volume":"34","author":"Bakar","year":"2013","journal-title":"Physiol. Meas."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Perchoux, J., Quotb, A., Atashkhooei, R., Azcona, F.J., Ram\u00edrez-Miquet, E.E., Bernal, O., Jha, A., Luna-Arriaga, A., Yanez, C., and Caum, J. (2016). Current Developments on Optical Feedback Interferometry as an All-Optical Sensor for Biomedical Applications. Sensors, 16.","DOI":"10.3390\/s16050694"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"570","DOI":"10.1364\/AOP.7.000570","article-title":"Laser feedback interferometry: A tutorial on the self-mixing effect for coherent sensing","volume":"7","author":"Taimre","year":"2015","journal-title":"Adv. Opt. Photonics"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"355","DOI":"10.1109\/TIM.2007.909473","article-title":"A comparative study for the assessment on blood flow measurement using self-mixing laser speckle interferometer","volume":"57","author":"Ohno","year":"2008","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"208","DOI":"10.1109\/10.212062","article-title":"A semiconductor laser used for direct measurement of the blood perfusion of tissue","volume":"40","author":"Mul","year":"1993","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/s11517-012-0973-x","article-title":"Self-mixing microprobe for monitoring microvascular perfusion in rat brain","volume":"51","author":"Figueiras","year":"2013","journal-title":"Med. Biol. Eng. Comput."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"2513","DOI":"10.1109\/TIM.2015.2398972","article-title":"Drop Measurement System for Biomedical Application","volume":"64","author":"Norgia","year":"2015","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"025402","DOI":"10.1088\/0957-0233\/22\/2\/025402","article-title":"Measurement of the fluid-velocity profile using a self-mixing superluminescent diode","volume":"22","author":"Rovati","year":"2011","journal-title":"Meas. Sci. Technol."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"1119","DOI":"10.1364\/OL.22.001119","article-title":"Noninvasive imaging of in vivo blood flow velocity using optical Doppler tomography","volume":"22","author":"Chen","year":"1997","journal-title":"Opt. Lett."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1016\/0142-727X(86)90011-1","article-title":"Velocity profile measurement by ultrasound Doppler shift method","volume":"7","author":"Takeda","year":"1986","journal-title":"Int. J. Heat Fluid Flow"},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"5028","DOI":"10.1364\/AO.47.005028","article-title":"Laser Doppler field sensor for high resolution flow velocity imaging without camera","volume":"47","author":"Voigt","year":"2008","journal-title":"Appl. Opt."},{"key":"ref_27","unstructured":"Ram\u00edrez-Miquet, E., Sotolongo-Costa, O., Quotb, A., Loubi\u00e8re, K., Prat, L., and Perchoux, J. (2016). Optical Measurement Techniques for Systems and Structures III, Shaker Publishing."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"814","DOI":"10.1364\/OL.35.000814","article-title":"GaN laser self-mixing velocimeter for measuring slow flows","volume":"35","author":"Kliese","year":"2010","journal-title":"Opt. Lett."},{"key":"ref_29","unstructured":"Wilkes, J.O. (2006). Fluid Mechanics for Chemical Engineers with Microfluidics and CFD, Pearson Education."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1007\/s10404-011-0873-7","article-title":"Parallel flow of immiscible liquids in a microreactor: modeling and experimental study","volume":"12","author":"Pohar","year":"2012","journal-title":"Microfluid. Nanofluid."},{"key":"ref_31","unstructured":"Shah, R.K., and London, A.L. (1978). Laminar Flow Forced Convection in Ducts:a Source Book for Compact Heat Exchanger Analytical Data, Academic Press."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/16\/8\/1233\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T19:27:45Z","timestamp":1760210865000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/16\/8\/1233"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,8,4]]},"references-count":31,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2016,8]]}},"alternative-id":["s16081233"],"URL":"https:\/\/doi.org\/10.3390\/s16081233","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,8,4]]}}}