[en] Evaporation is a critical yet often overlooked source of error in microfluidic platforms, where nanoliter-scale volume losses can impair metering accuracy and assay reliability. While evaporation has been studied extensively in open configurations (e.g., for droplets on a surface) and in simple systems such as microchannels, fewer studies have characterized evaporation within networked microfluidic circuits with interconnected chambers and channels. In such architectures, evaporation depends on the collective diffusion resistance of multiple pathways rather than a single characteristic length scale. Here, the evaporation of small liquid plugs (100 nL–10 μL) is systematically investigated within microfluidic circuits. Through controlled experiments and mapping alongside lumped-element modeling, it is shown how channel dimensions determine total vapor-diffusion resistance and the resulting evaporative flux. Results indicate that evaporation rates remain insensitive to contact-line position, provided the system operates in the isothermal, steady-state, and diffusion-limited regime. Furthermore, compact analytical expressions are derived that accurately predict evaporation across diverse designs, including microwell geometries relevant to multi-well plates. This study establishes quantitative design rules for engineering microfluidic circuits with predictable evaporative behavior. It provides a general framework for minimizing volume loss in applications ranging from sample preparation and cell analysis to wearable sensors and portable devices.
Disciplines :
Mechanical engineering Biotechnology
Author, co-author :
Gholizadeh, Ali ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M) ; Department of Mechanical Engineering, Division of Applied Mechanics and Energy Conversion (TME), KU Leuven, Leuven, Belgium
Stone, Howard A.; Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, United States
Fontanarosa, Donato; Department of Mechanical Engineering, Division of Applied Mechanics and Energy Conversion (TME), KU Leuven, Leuven, Belgium
Vetrano, Maria R.; Department of Mechanical Engineering, Division of Applied Mechanics and Energy Conversion (TME), KU Leuven, Leuven, Belgium
Gilet, Tristan ; Université de Liège - ULiège > Aérospatiale et Mécanique (A&M)
Language :
English
Title :
Engineering liquid-plug evaporation in microfluidic networks: From vapor and temperature mapping to predictive lumped-element modeling
Publication date :
October 2026
Journal title :
International Communications in Heat and Mass Transfer
The authors thank Denis Vandormael (Sirris) for manufacturing the microfluidic chips, and Gabriel Mazzucchelli, the project coordinator, for his insightful discussions on the application of this work. This research was funded by the Wallonia Public Service (SPW) through the Win2Wal grant 2010126 (ChipOmics).
T.G. Karayiannis, M.M. Mahmoud, Flow boiling in microchannels: Fundamentals and applications, Appl. Therm. Eng. 115 (2017) 1372–1397. doi: 10.1016/J.APPLTHERMALENG.2016.08.063.
X. Liu, J. Yang, Q. Zou, Y. Hu, P. Li, L. Tan, N. Miljkovic, R. Yang, Enhancing Liquid–Vapor Phase-Change Heat Transfer with Micro/Nano-Structured Surfaces, ACS Nano 19 (2025) 9513–9589. doi: 10.1021/ACSNANO.4C15277.
H.J. Lee, D.Y. Liu, S. chune Yao, Flow instability of evaporative micro-channels, Int. J. Heat Mass Transf. 53 (2010) 1740–1749. doi: 10.1016/j.ijheatmasstransfer.2010.01.016.
G. Maltezos, A. Rajagopal, A. Scherer, Evaporative cooling in microfluidic channels, Appl. Phys. Lett. 89 (2006) 74107. doi: 10.1063/1.2234318/332574.
G.M. Whitesides, The origins and the future of microfluidics, Nature 442 (2006) 368–373. doi: 10.1038/NATURE05058;KWRD.
A. Van Den Berg, H. Craighead, P. Yang, D. Mark, S. Haeberle, A. Gu¨nter, G. Roth, A. Felix Von Stettenz, R. Zengerlez, Microfluidic lab-on-a-chip platforms: requirements, characteristics and applications, Chem. Soc. Rev. 39 (2010) 1153–1182. doi: 10.1039/B820557B.
E.K. Sackmann, A.L. Fulton, D.J. Beebe, The present and future role of microfluidics in biomedical research, Nature 2014 507:7491 507 (2014) 181–189. doi: 10.1038/nature13118.
A. Gholizadeh, G. Mazzucchelli, A. Amoroso, T. Gilet, Modular Centrifugal Microfluidics for Sample Preparation, Anal. Chem. 97 (2025) 12070–12079. doi: 10.1021/ACS.ANALCHEM.5C00076/ASSET/IMAGES/LARGE/AC5C00076_0008.JPEG.
F. Cui, M. Rhee, A. Singh, A. Tripathi, Microfluidic Sample Preparation for Medical Diagnostics, Annu. Rev. Biomed. Eng. 17 (2015) 267–286. doi: 10.1146/annurev-bioeng-071114-040538.
A. Dehghan, A. Gholizadeh, M. Navidbakhsh, H. Sadeghi, E. Pishbin, Integrated microfluidic system for efficient DNA extraction using on-disk magnetic stirrer micromixer, Sensors and Actuators B: Chemical 351 (2022) 130919.
J.J. Chen, Y.J. Wang, M.A. Tsai, C.M. Shen, C.H. Liao, WACAN chip: a MEMS-based microfluidic PCR platform with integrated micro-heaters and liquid cold plate for efficient nucleic acid amplification, Microsystem Technologies 2025 31:10 31 (2025) 2943–2960. doi: 10.1007/S00542-025-05917-X.
S. Lutz, P. Weber, M. Focke, B. Faltin, J. Hoffmann, C. Müller, D. Mark, G. Roth, P. Munday, N. Armes, O. Piepenburg, R. Zengerle, F. Von Stetten, Microfluidic lab-on-a-foil for nucleic acid analysis based on isothermal recombinase polymerase amplification (RPA), Lab Chip 10 (2010) 887–893. doi: 10.1039/b921140c.
P. Craw, W. Balachandran, Isothermal nucleic acid amplification technologies for point-of-care diagnostics: a critical review, Lab Chip 12 (2012) 2469–2486. doi: 10.1039/C2LC40100B.
H.Y. Wang, P.P. Banada, A.K. Bhunia, C. Lu, Rapid Electrical Lysis of Bacterial Cells in a Microfluidic Device, Methods Mol. Biol. 385 (2007) 23–35. doi: 10.1007/978-1-59745-426-1_3.
A. Dehghan, M. J. Kiani, A. Gholizadeh, J. Aminizadeh, A. Rahi, I. Zare, … H. Heli, Electrochemical genosensors on-a-chip: Applications in early diagnosis of pathogens, Sensors and Actuators Reports 9 (2025) 100335.
N. Scott Lynn, C.S. Henry, D.S. Dandy, Evaporation from microreservoirs, Lab Chip 9 (2009) 1780–1788. doi: 10.1039/b900556k.
E. Berthier, J. Warrick, H. Yu, D.J. Beebe, Managing evaporation for more robust microscale assays: Part 1. Volume loss in high throughput assays, Lab Chip 8 (2008) 852–859. doi: 10.1039/b717422e.
R.H. Nilson, S.W. Tchikanda, S.K. Griffiths, M.J. Martinez, Steady evaporating flow in rectangular microchannels, Int. J. Heat Mass Transf. 49 (2006) 1603–1618. doi: 10.1016/J.IJHEATMASSTRANSFER.2005.11.002.
P. Bacchin, J. Leng, J.B. Salmon, Microfluidic Evaporation, Pervaporation, and Osmosis: From Passive Pumping to Solute Concentration, Chem. Rev. 122 (2022) 6938–6985. doi: 10.1021/acs.chemrev.1c00459.
L. Wei, J. Zhou, Z. Li, H. Zhu, H. Wu, Y. Zhu, A. Liu, Quantitative analysis of sweat evaporation loss in epidermal microfluidic patches, RSC Adv. 14 (2024) 18406–18416. doi: 10.1039/d4ra03483j.
C.Y. Lau, A.A.A. Zahidi, O.W. Liew, T.W. Ng, A direct heating model to overcome the edge effect in microplates, J. Pharm. Biomed. Anal. 102 (2015) 199–202. doi: 10.1016/J.JPBA.2014.09.021.
E. Litborn, A. Emmer, J. Roeraade, (2000), Parallel reactions in open chip-based nanovials with continuous compensation for solvent evaporation. ELECTROPHORESIS, 21: 91-99. https://doi.org/10.1002/(SICI)1522-2683(20000101)21:1<91::AID-ELPS91>3.0.CO;2-Y.
Y. Zhang, H. Guo, S.B. Kim, Y. Wu, D. Ostojich, S.H. Park, X. Wang, Z. Weng, R. Li, A.J. Bandodkar, Y. Sekine, J. Choi, S. Xu, S. Quaggin, R. Ghaffari, J.A. Rogers, Passive sweat collection and colorimetric analysis of biomarkers relevant to kidney disorders using a soft microfluidic system, Lab Chip 19 (2019) 1545–1555. doi: 10.1039/C9LC00103D.
S.K. Cho, H. Moon, C.J. Kim, Creating, transporting, cutting, and merging liquid droplets by electrowetting-based actuation for digital microfluidic circuits, Journal of Microelectromechanical Systems 12 (2003) 70–80. doi: 10.1109/JMEMS.2002.807467.
S. Neugebauer, S.R. Evans, Z.P. Aguilar, M. Mosbach, I. Fritsch, W. Schuhmann, Analysis in Ultrasmall Volumes: Microdispensing of Picoliter Droplets and Analysis without Protection from Evaporation, Anal. Chem. 76 (2003) 458–463. doi: 10.1021/AC0346860.
R. Moerman, J. Knoll, C. Apetrei, L.R. Van Den Doel, G.W.K. Van Dedem, Quantitative Analysis in Nanoliter Wells by Prefilling of Wells Using Electrospray Deposition Followed by Sample Introduction with a Coverslip Method, Anal. Chem. 77 (2004) 225–231. doi: 10.1021/AC0400515.
J. Choi, D. Kang, S. Han, S.B. Kim, J.A. Rogers, Thin, Soft, Skin-Mounted Microfluidic Networks with Capillary Bursting Valves for Chrono-Sampling of Sweat, Adv. Healthc. Mater. 6 (2017) 1601355. doi: 10.1002/ADHM.201601355;JOURNAL:JOURNAL:21922659;ISSUE:ISSUE:DOI.
K. Klepárník, M. Gilár, F.E. Foret, A.W. Miller, Z. Sosic, B.L. Karger, (n.d.). Marek Minarik Design of a fraction collector for capillary array electrophoresis, doi: 10.1002/1522-2683(200201)23:1<35::AID-ELPS35>3.0.CO;2-H.
G.C. Randall, P.S. Doyle, Permeation-driven flow in poly(dimethylsiloxane) microfluidic devices, Proc. Natl. Acad. Sci. U. S. A. 102 (2005) 10813–10818. doi: 10.1073/PNAS.0503287102;WGROUP:STRING:PUBLICATION.
S.H. Yun, L.M. Cabrera, J.W. Song, N. Futai, Y.C. Tung, G.D. Smith, S. Takayama, Characterization and Resolution of Evaporation-Mediated Osmolality Shifts That Constrain Microfluidic Cell Culture in Poly(dimethylsiloxane) Devices, Anal. Chem. 79 (2006) 1126–1134. doi: 10.1021/AC061990V.
Y. Zhang, M. Ishida, Y. Kazoe, Y. Sato, N. Miki, Water-vapor permeability control of PDMS by the dispersion of collagen powder, IEEJ Transactions on Electrical and Electronic Engineering 4 (2009) 442–449. doi: 10.1002/TEE.20429;REQUESTEDJOURNAL:JOURNAL:19314981;ISSUE:ISSUE:DOI.
B. Heo, M. Fiola, J.H. Yang, A. Koh, A low-cost, composite collagen-PDMS material for extended fluid retention in the skin-interfaced microfluidic devices, Colloid Interface Sci. Commun. 38 (2020) 100301. doi: 10.1016/J.COLCOM.2020.100301.
L. Zhou, G. Zhuang, G. Li, A facile method for the fabrication of glass-PDMS-glass sandwich microfluidic devices by sacrificial molding, Sens. Actuators B Chem. 261 (2018) 364–371. doi: 10.1016/J.SNB.2018.01.158.
S. Kachel, Y. Zhou, P. Scharfer, C. Vrančić, W. Petrich, W. Schabel, Evaporation from open microchannel grooves, Lab Chip 14 (2014) 771–778. doi: 10.1039/C3LC50892G.
Y.C. Tan, J.S. Fisher, A.I. Lee, V. Cristini, A.P. Lee, Design of microfluidic channel geometries for the control of droplet volume, chemical concentration, and sorting, Lab Chip 4 (2004) 292–298. doi: 10.1039/B403280M.
A. Karbalaei, R. Kumar, H.J. Cho, Thermocapillarity in Microfluidics—A Review, Micromachines 2016, Vol. 7, Page 13 7 (2016) 13. doi: 10.3390/MI7010013.
E. Sultan, A.I. Boudaoud, M. Ben Amar, Evaporation of a thin film: diffusion of the vapour and Marangoni instabilities, J. Fluid Mech. 543 (2005) 183–202. doi: 10.1017/S0022112005006348.
C. Larsson, S. Kumar, Comparison of one-sided and diffusion-limited evaporation models for thin liquid droplets, J. Fluid Mech. 976 (2023) A25. doi: 10.1017/JFM.2023.873.
H. Kim, H.A. Stone, Direct measurement of selective evaporation of binary mixture droplets by dissolving materials, J. Fluid Mech. 850 (2018) 769–783. doi: 10.1017/JFM.2018.472.
P.C. Stephan, C.A. Busse, Analysis of the heat transfer coefficient of grooved heat pipe evaporator walls, Int. J. Heat Mass Transf. 35 (1992) 383–391. doi: 10.1016/0017-9310(92)90276-X.
R. Wang, K. Jakhar, D.S. Antao, Unified Modeling Framework for Thin-Film Evaporation from Micropillar Arrays Capturing Local Interfacial Effects, Langmuir 35 (2019) 7. doi: 10.1021/ACS.LANGMUIR.9B02048.
Y. Zhu, D.S. Antao, Z. Lu, S. Somasundaram, T. Zhang, E.N. Wang, Prediction and Characterization of Dry-out Heat Flux in Micropillar Wick Structures, Langmuir 32 (2016) 1920–1927. doi: 10.1021/ACS.LANGMUIR.5B04502.
G. Fabien, M. Antoni, K. Sefiane, Use of IR Thermography To Investigate Heated Droplet Evaporation and Contact Line Dynamics, Langmuir 27 (2011) 6744–6752. doi: 10.1021/LA104962M.
J.R. Thome, V. Dupont, A.M. Jacobi, Heat transfer model for evaporation in microchannels. Part I: Presentation of the model, Int. J. Heat Mass Transf. 47 (2004) 3375–3385. doi: 10.1016/j.ijheatmasstransfer.2004.01.006.
V. Dupont, J.R. Thome, A.M. Jacobi, Heat transfer model for evaporation in microchannels. Part II: comparison with the database, Int. J. Heat Mass Transf. 47 (2004) 3387–3401. doi: 10.1016/J.IJHEATMASSTRANSFER.2004.01.007.
F. Chauvet, S. Cazin, P. Duru, M. Prat, Use of infrared thermography for the study of evaporation in a square capillary tube, Int. J. Heat Mass Transf. 53 (2010) 1808–1818. doi: 10.1016/j.ijheatmasstransfer.2010.01.008.
G. Czilwik, I. Schwarz, M. Keller, S. Wadle, S. Zehnle, F. Von Stetten, D. Mark, R. Zengerle, N. Paust, Microfluidic vapor-diffusion barrier for pressure reduction in fully closed PCR modules, Lab Chip 15 (2015) 1084–1091. doi: 10.1039/C4LC01115E.
J. Wegrzyn, A. Samborski, L. Reissig, P.M. Korczyk, S. Blonski, P. Garstecki, Microfluidic architectures for efficient generation of chemistry gradations in droplets, Microfluidics and Nanofluidics 2012 14:1 14 (2012) 235–245. doi: 10.1007/S10404-012-1042-3.
A. Gholizadeh, G. Mazzucchelli, T. Gilet, Flipping: A Valve-Free Strategy to Control Fluid Flow in Centrifugal Microfluidic Systems, Sens. Actuators B Chem. 412 (2024). doi: 10.1016/j.snb.2024.135778.
P. Hülsmann, G.M. Wallner, Permeation of water vapour through polyethylene terephthalate (PET) films for back-sheets of photovoltaic modules, Polym. Test. 58 (2017) 153–158. doi: 10.1016/J.POLYMERTESTING.2016.11.028.
A. Gholizadeh, O. Verlaine, T. Gilet, The metering function in centrifugal microfluidic systems: From comparative analysis to design guidelines, Sens. Actuators A Phys. 408 (2026) 117969. doi: 10.1016/J.SNA.2026.117969.
J.L. Jiménez-Pérez, P.V. Pincel, A. Cruz-Orea, Z.N. Correa-Pacheco, Thermal characterization of a liquid resin for 3D printing using photothermal techniques, Appl. Phys. A Mater. Sci. Process. 122 (2016) 1–5. doi: 10.1007/S00339-016-0088-6/FIGURES/5.
D. Fontanarosa, M. Vodopivec, M.R. Vetrano, Advancing in high-resolution surface thermographic measurements based on thermo-sensitive coatings, Measurement 250 (2025) 117085. doi: 10.1016/J.MEASUREMENT.2025.117085.
F. Incropera and D. DeWitt, “Fundamentals of Heat and Mass Transfer,” 6th Edition, J. Wiley & Sons, New York, 2007. - References - Scientific Research Publishing, (n.d.). https://www.scirp.org/reference/referencespapers?referenceid=904176 (accessed June 29, 2026).
J.P. Holman, Heat and Mass Transfer, 6th ed., 1986.
P. Bergé, M. Dubois, Rayleigh-bénard convection, Contemp. Phys. 25 (1984) 535–582. doi: 10.1080/00107518408210730.
U. Burr, U. Müller, Rayleigh–Bénard convection in liquid metal layers under the influence of a horizontal magnetic field, J. Fluid Mech. 453 (2002) 345–369. doi: 10.1017/S002211200100698X.
T.Y. Zhang, L.W. Mou, M.J. Liu, L.W. Fan, Advances in modeling investigations of multimode dropwise condensation heat transfer on smooth and textured surfaces – A review, International Journal of Thermal Sciences 172 (2022) 107309. doi: 10.1016/J.IJTHERMALSCI.2021.107309.
H. Masoud, P.D. Howell, H.A. Stone, Evaporation of multiple droplets, J. Fluid Mech. 927 (2021) R4. doi: 10.1017/JFM.2021.785.
A. Gholizadeh, G. Mazzucchelli, C. Kune, T. Gilet, Fluidic Device for Metering and Dispensing a Plurality of Samples, WO2025176316, 2025.
A. Gholizadeh, G. Mazzucchelli, C. Kune, T. Gilet, Fluidic Unit for Discrete Element Trapping, WO2024175769A1, 2024.
A. Gholizadeh, G. Mazzucchelli, A. Amoroso, T. Gilet, WellOmics: A Modular Microfluidic Well Plate for Versatile Sample Preparation, Demonstrated by an Enzymatic Assay. 2025 MicroTAS, Book of Abstracts (2025), doi:10.70477/EBIB6691.
D. V. Svintradze, Generalization of the Kelvin equation for arbitrarily curved surfaces, Phys. Lett. A 384 (2020) 126412. doi: 10.1016/J.PHYSLETA.2020.126412.
M. Rezaei, R.R. Netz, Water evaporation from solute-containing aerosol droplets: Effects of internal concentration and diffusivity profiles and onset of crust formation, Physics of Fluids 33 (2021) 91901. doi: 10.1063/5.0060080/1060704.