{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,20]],"date-time":"2026-02-20T23:33:30Z","timestamp":1771630410869,"version":"3.50.1"},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"2-3","license":[{"start":{"date-parts":[[2007,5,17]],"date-time":"2007-05-17T00:00:00Z","timestamp":1179360000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Exp Fluids"],"published-print":{"date-parts":[[2007,8,17]]},"DOI":"10.1007\/s00348-007-0306-2","type":"journal-article","created":{"date-parts":[[2007,5,16]],"date-time":"2007-05-16T15:46:04Z","timestamp":1179330364000},"page":"437-451","source":"Crossref","is-referenced-by-count":116,"title":["Viscous flow through microfabricated hyperbolic contractions"],"prefix":"10.1007","volume":"43","author":[{"given":"M\u00f3nica S. Neves","family":"Oliveira","sequence":"first","affiliation":[]},{"given":"Manuel A.","family":"Alves","sequence":"additional","affiliation":[]},{"given":"Fernando T.","family":"Pinho","sequence":"additional","affiliation":[]},{"given":"Gareth H.","family":"McKinley","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,5,17]]},"reference":[{"key":"306_CR1","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198596608.001.0001","volume-title":"Elementary fluid dynamics","author":"DJ Acheson","year":"1990","unstructured":"Acheson DJ (1990) Elementary fluid dynamics. Clarendon Press, Oxford"},{"key":"306_CR2","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1002\/fld.428","volume":"41","author":"MA Alves","year":"2003","unstructured":"Alves MA, Oliveira PJ, Pinho FT (2003) A convergent and universally bounded interpolation scheme for the treatment of advection. Int J Numer Meth Fl 41:47\u201375","journal-title":"Int J Numer Meth Fl"},{"key":"306_CR3","volume-title":"An introduction to rheology","author":"HA Barnes","year":"1989","unstructured":"Barnes HA, Hutton JF, Walters K (1989) An introduction to rheology. Elsevier, Amsterdam"},{"key":"306_CR4","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1016\/0377-0257(94)85032-1","volume":"52","author":"RA Brown","year":"1994","unstructured":"Brown RA, McKinley GH (1994) Report on the VIIIth international workshop on numerical methods in viscoelastic flows. J Non-Newton Fluid Mech 52:407\u2013413","journal-title":"J Non-Newton Fluid Mech"},{"key":"306_CR5","doi-asserted-by":"crossref","first-page":"467","DOI":"10.1016\/S0045-7930(99)00018-3","volume":"29","author":"TP Chiang","year":"2000","unstructured":"Chiang TP, Sheu TWH, Wang SK (2000) Side wall effects on the structure of laminar flow over a plane-symmetric sudden expansion. Comput Fluids 29:467\u2013492","journal-title":"Comput Fluids"},{"key":"306_CR6","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1016\/0377-0257(78)85004-6","volume":"4","author":"FN Cogswell","year":"1978","unstructured":"Cogswell FN (1978) Converging flow and stretching flow: a compilation. J Non-Newton Fluid Mech 4:23\u201338","journal-title":"J Non-Newton Fluid Mech"},{"key":"306_CR7","unstructured":"Einstein A (1905) On the movement of small particles suspended in a stationary liquid demanded by the molecular-kinetic theory of heat. In: Theory of Brownian Movement. Dover Publications Inc., New York, pp 1\u201318"},{"key":"306_CR8","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1038\/273213a0","volume":"273","author":"AE Everage Jr","year":"1978","unstructured":"Everage AE Jr, Ballman RL (1978) The extensional flow capillary as a new method for extensional viscosity measurement. Nature 273:213\u2013215","journal-title":"Nature"},{"key":"306_CR9","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/j.jnnfm.2003.08.002","volume":"115","author":"K Feigl","year":"2003","unstructured":"Feigl K, Tanner FX, Edwards BJ, Collier JR (2003) A numerical study of the measurement of elongational viscosity of polymeric fluids in semi-hyperbolically converging die. J Non-Newton Fluid Mech 115:191\u2013215","journal-title":"J Non-Newton Fluid Mech"},{"key":"306_CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1103\/PhysRevLett.92.094501","volume":"92","author":"A Groisman","year":"2004","unstructured":"Groisman A, Quake SR (2004) A microfluidic rectifier: anisotropic flow resistance at low Reynolds numbers. Phys Rev Lett 92:1\u20134","journal-title":"Phys Rev Lett"},{"key":"306_CR11","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1016\/0377-0257(88)85060-2","volume":"29","author":"O Hassager","year":"1988","unstructured":"Hassager O (1988) Working group on numerical techniques (Vth workshop on numerical methods in non-Newtonian flow). J Non-Newton Fluid Mech 29:2\u20135","journal-title":"J Non-Newton Fluid Mech"},{"key":"306_CR12","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0377-0257(94)01265-J","volume":"56","author":"CG Hermansky","year":"1995","unstructured":"Hermansky CG, Boger DV (1995) Opposing-jet viscometry of fluids with viscosity approaching that of water. J Non-Newton Fluid Mech 56:1\u201314","journal-title":"J Non-Newton Fluid Mech"},{"key":"306_CR13","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1002\/aic.690370105","volume":"37","author":"DF James","year":"1991","unstructured":"James DF (1991) Flow in a converging channel at moderate Reynolds number. AIChE J 37:59\u201364","journal-title":"AIChE J"},{"key":"306_CR14","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1016\/0377-0257(90)85063-5","volume":"35","author":"DF James","year":"1990","unstructured":"James DF, Chandler GM, Armour SJ (1990) A converging channel rheometer for the measurement of extensional viscosity. J Non-Newton Fluid Mech 35:421\u2013443","journal-title":"J Non-Newton Fluid Mech"},{"key":"306_CR15","volume-title":"Microflows and nanoflows: fundamentals and simulation","author":"G Karniadakis","year":"2005","unstructured":"Karniadakis G, Beskok A, Aluru NR (2005) Microflows and nanoflows: fundamentals and simulation. Springer Verlag, New York, NY"},{"key":"306_CR16","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1007\/s10404-005-0067-2","volume":"2","author":"K Kang","year":"2006","unstructured":"Kang K, Koelling KW, Lee LJ (2006) Microdevice end pressure evaluations with Bagley correction. Microfluid Nanofluid 2:223\u2013235","journal-title":"Microfluid Nanofluid"},{"key":"306_CR17","doi-asserted-by":"crossref","first-page":"222","DOI":"10.1007\/s00348-004-0901-4","volume":"38","author":"K Kang","year":"2005","unstructured":"Kang K, Lee LJ, Koelling KW (2005) High shear microfluidics and its application in rheological measurement. Exp Fluids 38:222\u2013232","journal-title":"Exp Fluids"},{"key":"306_CR18","doi-asserted-by":"crossref","first-page":"3051","DOI":"10.1063\/1.1760105","volume":"16","author":"E Lauga","year":"2004","unstructured":"Lauga E, Stroock AD, Stone HA (2004) Three-dimensional flows in slowly varying planar geometries. Phys Fluid 16:3051\u20133062","journal-title":"Phys Fluid"},{"key":"306_CR19","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1002\/(SICI)1522-2683(20000101)21:1<27::AID-ELPS27>3.0.CO;2-C","volume":"21","author":"JC McDonald","year":"2000","unstructured":"McDonald JC, Duffy DC, Anderson JR, Chiu DT, Wu HK, Schueller OJA, Whitesides GM (2000) Fabrication of microfluidic systems in poly(dimethylsiloxane). Electrophoresis 21:27\u201340","journal-title":"Electrophoresis"},{"key":"306_CR20","doi-asserted-by":"crossref","first-page":"809","DOI":"10.1088\/0957-0233\/11\/6\/326","volume":"11","author":"CD Meinhart","year":"2000","unstructured":"Meinhart CD, Wereley ST, Gray MHB (2000) Volume illumination for two-dimensional particle image velocimetry. Meas Sci Technol 11:809\u2013814","journal-title":"Meas Sci Technol"},{"key":"306_CR21","doi-asserted-by":"crossref","first-page":"3461","DOI":"10.1002\/1522-2683(200210)23:20<3461::AID-ELPS3461>3.0.CO;2-8","volume":"23","author":"JMK Ng","year":"2002","unstructured":"Ng JMK, Gitlin I, Stroock AD, Whitesides GM (2002) Components for integrated poly(dimethylsiloxane) microfluidic systems. Electrophoresis 23:3461\u20133473","journal-title":"Electrophoresis"},{"key":"306_CR22","doi-asserted-by":"crossref","first-page":"33","DOI":"10.1016\/S0377-0257(03)00117-4","volume":"114","author":"PJ Oliveira","year":"2003","unstructured":"Oliveira PJ (2003) Asymmetric flows of viscoelastic fluids in symmetric planar expansion geometries. J Non-Newton Fluid Mech 114:33\u201363","journal-title":"J Non-Newton Fluid Mech"},{"key":"306_CR23","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1080\/104077999275884","volume":"35","author":"PJ Oliveira","year":"1999","unstructured":"Oliveira PJ, Pinho FT (1999) Numerical procedure for the computation of fluid flow with arbitrary stress-strain relationships. Numer Heat Tr B-Fund 35:295\u2013315","journal-title":"Numer Heat Tr B-Fund"},{"key":"306_CR24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/S0377-0257(98)00082-2","volume":"79","author":"PJ Oliveira","year":"1998","unstructured":"Oliveira PJ, Pinho FT, Pinto GA (1998) Numerical simulation of non-linear elastic flows with a general collocated finite-volume method. J Non-Newton Fluid Mech 79:1\u201343","journal-title":"J Non-Newton Fluid Mech"},{"key":"306_CR25","doi-asserted-by":"crossref","first-page":"S166","DOI":"10.1007\/s003480070018","volume":"29","author":"MG Olsen","year":"2000","unstructured":"Olsen MG, Adrian RJ (2000) Out-of-focus effects on particle image visibility and correlation in microscopic particle image velocimetry. Exp Fluids 29:S166\u2013S174","journal-title":"Exp Fluids"},{"key":"306_CR26","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1007\/BF00218156","volume":"13","author":"AK Prasad","year":"1992","unstructured":"Prasad AK, Adrian RJ, Landreth CC, Offutt PW (1992) Effect of resolution on the speed and accuracy of particle image velocimetry interrogation. Exp Fluids 13:105\u2013116","journal-title":"Exp Fluids"},{"key":"306_CR27","unstructured":"Rodd LE (2006) Planar entry flow of low viscosity elastic fluids in micro-fabricated contraction geometries. Ph.D. Thesis, Department of Chemical and Biomolecular Engineering, University of Melbourne, Melbourne, VIC, Australia"},{"key":"306_CR28","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.jnnfm.2005.04.006","volume":"129","author":"LE Rodd","year":"2005","unstructured":"Rodd LE, Scott TP, Boger DV, Cooper-White JJ, McKinley GH (2005) The inertio-elastic planar entry flow of low-viscosity elastic fluids in micro-fabricated geometries. J Non-Newton Fluid Mech 129:1\u201322","journal-title":"J Non-Newton Fluid Mech"},{"key":"306_CR43","doi-asserted-by":"crossref","unstructured":"Rodd LE, Cooper-White JJ, Boger DV, McKinley GH (2007) Role of the elasticity number in the entry flow of dilute polymer solutions in micro-fabricated contraction geometries. J Non-Newton Fluid Mech (in press)","DOI":"10.1016\/j.jnnfm.2007.02.006"},{"key":"306_CR29","doi-asserted-by":"crossref","first-page":"316","DOI":"10.1007\/s003480050235","volume":"25","author":"JG Santiago","year":"1998","unstructured":"Santiago JG, Wereley ST, Meinhart CD, Beebe DJ, Adrian RJ (1998) Particle image velocimetry systems for microfludics. Exp Fluids 25:316\u2013319","journal-title":"Exp Fluids"},{"key":"306_CR30","unstructured":"Scott TP (2004) Contraction\/expansion flow of dilute elastic solutions in microchannels. M.S. Thesis, Mechanical Engineering Department, MIT, Cambridge, MA, USA"},{"key":"306_CR31","doi-asserted-by":"crossref","first-page":"741","DOI":"10.1007\/s00348-003-0753-3","volume":"36","author":"KV Sharp","year":"2004","unstructured":"Sharp KV, Adrian RJ (2004) Transition from laminar to turbulent flow in liquid filled microtubes. Exp Fluids 36:741\u2013747","journal-title":"Exp Fluids"},{"key":"306_CR32","doi-asserted-by":"crossref","first-page":"2811","DOI":"10.1002\/app.1975.070191016","volume":"19","author":"MT Shaw","year":"1975","unstructured":"Shaw MT (1975) Flow of polymer melts through a well-lubricated, conical die. J Appl Polym Sci 19:2811\u20132816","journal-title":"J Appl Polym Sci"},{"key":"306_CR33","doi-asserted-by":"crossref","first-page":"977","DOI":"10.1103\/RevModPhys.77.977","volume":"77","author":"TM Squires","year":"2005","unstructured":"Squires TM, Quake SR (2005) Microfluidics: fluid physics at the nanoliter scale. Rev Mod Phys 77:977\u20131026","journal-title":"Rev Mod Phys"},{"key":"306_CR34","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1146\/annurev.fluid.36.050802.122124","volume":"36","author":"HA Stone","year":"2004","unstructured":"Stone HA, Stroock AD, Ajdari A (2004) Engineering flows in small devices: microfluidics toward a Lab-on-a-Chip. Annu Review Fluid Mech 36:381\u2013411","journal-title":"Annu Review Fluid Mech"},{"key":"306_CR35","doi-asserted-by":"crossref","unstructured":"Tsai C-H, Chen H-T, Wang Y-N, Lin C-H, Fu L-M (2006) Capabilities and limitations of 2-dimensional and 3-dimensional numerical methods in modeling the fluid flow in sudden expansion microchannels. Microfluid and Nanofluid. doi: 10.1007\/s10404-006-0099-2","DOI":"10.1007\/s10404-006-0099-2"},{"key":"306_CR36","doi-asserted-by":"crossref","first-page":"749","DOI":"10.1016\/0009-2509(94)85020-8","volume":"49","author":"P Townsend","year":"1994","unstructured":"Townsend P, Walters K (1994) Expansion flows of non-Newtonian liquids. Chem Eng Sci 49:749\u2013763","journal-title":"Chem Eng Sci"},{"key":"306_CR37","volume-title":"Microscale diagnostic techniques","author":"ST Wereley","year":"2004","unstructured":"Wereley ST, Meinhart CD (2004) Micron-resolution particle image velocimetry. In: Breuer KS (ed) Microscale diagnostic techniques. Springer, Berlin"},{"key":"306_CR38","doi-asserted-by":"crossref","first-page":"1047","DOI":"10.2514\/2.1786","volume":"40","author":"ST Wereley","year":"2002","unstructured":"Wereley ST, Gui L, Meinhart CD (2002) Advanced algorithms for microscale particle image velocimetry. AIAA J 40:1047\u20131055","journal-title":"AIAA J"},{"key":"306_CR39","volume-title":"Viscous fluid flow","author":"FM White","year":"1991","unstructured":"White FM (1991) Viscous fluid flow. McGraw-Hill, New York"},{"key":"306_CR41","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1063\/1.1387591","volume":"54","author":"GM Whitesides","year":"2001","unstructured":"Whitesides GM, Stroock AD (2001) Flexible methods for microfluidics. Phys Today 54:42\u201348","journal-title":"Phys Today"},{"key":"306_CR42","doi-asserted-by":"crossref","first-page":"801","DOI":"10.1017\/S0022112065001702","volume":"23","author":"R Wille","year":"1965","unstructured":"Wille R, Fernholz H (1965) Report on first European mechanics colloquium on coanda effect. J Fluid Mech 23:801\u2013819","journal-title":"J Fluid Mech"}],"container-title":["Experiments in Fluids"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00348-007-0306-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00348-007-0306-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00348-007-0306-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,14]],"date-time":"2024-02-14T09:53:11Z","timestamp":1707904391000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00348-007-0306-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,5,17]]},"references-count":42,"journal-issue":{"issue":"2-3","published-print":{"date-parts":[[2007,8,17]]}},"alternative-id":["306"],"URL":"https:\/\/doi.org\/10.1007\/s00348-007-0306-2","relation":{},"ISSN":["0723-4864","1432-1114"],"issn-type":[{"value":"0723-4864","type":"print"},{"value":"1432-1114","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,5,17]]}}}