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Flow-induced deformation of compliant microchannels and its effect on pressure–flow characteristics

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Abstract

We report theoretical and experimental investigations of flow through compliant microchannels in which one of the walls is a thin PDMS membrane. A theoretical model is derived that provides an insight into the physics of the coupled fluid–structure interaction. For a fixed channel size, flow rate and fluid viscosity, a compliance parameter \(f_{\text{p}}\) is identified, which controls the pressure–flow characteristics. The pressure and deflection profiles and pressure–flow characteristics of the compliant microchannels are predicted using the model and compared with experimental data, which show good agreement. The pressure–flow characteristics of the compliant microchannel are compared with that obtained for an identical conventional (rigid) microchannel. For a fixed channel size and flow rate, the effect of fluid viscosity and compliance parameter \(f_{\text{p}}\) on the pressure drop is predicted using the theoretical model, which successfully confront experimental data. The pressure–flow characteristics of a non-Newtonian fluid (0.1 % polyethylene oxide solution) through the compliant and conventional (rigid) microchannels are experimentally measured and compared. The results reveal that for a given change in the flow rate, the corresponding modification in the viscosity due to the shear thinning effect determines the change in the pressure drop in such microchannels.

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References

  • Anoop R, Sen AK (2015) Capillary flow enhancement in rectangular polymer microchannels with a deformable wall. Phys Rev E 92:013024

    Article  Google Scholar 

  • Beech JP, Tegenfeldt JO (2008) Tunable separation in elastomeric micro fluidics devices. Lab Chip 8:657–659

    Article  Google Scholar 

  • Bronstein IN, Semendjajew KA (1976) Taschenbuch der Mathematik.17 Auflage ISBN 3 87144 0167

  • Bruus H (2009) Theoretical Microfluidics. oxford University press. New York. ISBN 9780199235094

  • Chakraborty D, Prakash JR, Friend J, Yeo L (2012) Fluid–structure interaction in deformable microchannels. Phys Fluids 24:102002

    Article  Google Scholar 

  • Cheung P, Toda PK, Shen AQ (2012) In Situ pressure measurement within deformable rectangular polydimethylsiloxane microfluidic devices. Biomicrofluidics 6:026501

    Article  Google Scholar 

  • Ebagninin KW, Benchabane A, Bekkour K (2009) Rheological characterization of poly(ethylene oxide) solutions of different molecular weights. J Colloid Interface Sci 336:360–367

    Article  Google Scholar 

  • Gervais T, El-Ali J, Gunther A, Jensen KF (2006) Flow-induced deformation of shallow microfluidic channels. Lab Chip 6:500–507

    Article  Google Scholar 

  • Hardy BS, Uechi K, Zhen J, Kavehpour HP (2009) The deformation of flexible PDMS microchannels under a pressure driven flow. Lab Chip 9:935–938

    Article  Google Scholar 

  • Holt J P (1969) Flow through collapsible tubes and through in situ veins. IEEE Trans Bio-Med Eng, vol BME-16, no. 4

  • Hosokawa K, Hanada K, Maeda RA (2002) polydimethylsiloxane (PDMS) deformable diffraction grating for monitoring of local pressure in microfluidic devices. J Micromech Microeng 12:1

    Article  Google Scholar 

  • Hou HW, Li QS, Lee GYH, Kumar AP, Ong CN, Lim CT (2009) Deformability study of breast cancer cells using microfluidics. Biomed Microdevices 11:557–564

    Article  Google Scholar 

  • Hsiung SK, Chen CT, Lee GB (2006) Micro-droplet formation utilizing microfluidic flow focusing and controllable moving-wall chopping techniques. J Micromech Microeng 16:2403–2410

    Article  Google Scholar 

  • Iyer V, Raj A, Annabatula RK, Sen AK (2015) Experimental and numerical studies of a microfluidic device with compliant chambers for flow stabilization. J Micromech Microeng 25:075003

    Article  Google Scholar 

  • Jeong OC, Park SW, Yang SS, Pak JJ (2005) Fabrication of a peristaltic PDMS micropump. Sens Actuators A 123–124:453–458

    Article  Google Scholar 

  • Katz AI, Chen Y, Moderno AH (1969) Flow through collapsible tube experimental analysis and mathematical model. Biophys J 9:1261–1279

    Article  Google Scholar 

  • Lee CH, Hsiung SK, Lee GB (2007) A tunable microflow focusing device utilizing controllable moving walls and its applications for formation of micro-droplets in liquids. J Micromech Microeng 17:1121–1129

    Article  Google Scholar 

  • Lin YH, Lee CH, Lee GB (2008) Droplet formation utilizing controllable moving-wall structures for double-emulsion applications. J Microelectromech Syst 17:573–581

    Article  Google Scholar 

  • Liu M, Sun J, Sun Y, Bock C, Chen Q (2009) Thickness-dependent mechanical properties of polydimethylsiloxane membranes. J Micromech Microeng 19:035028

    Article  Google Scholar 

  • Mazumdar JN (2004) Biofluid mechanics. World Scientific, Singapore

    MATH  Google Scholar 

  • Pang Y, Kim H, Liu Z, Stone HA (2014) A soft microchannel decreases polydispersity of droplet generation. Lab Chip 14:4029–4034

    Article  Google Scholar 

  • Pedley J, Luo XY (1998) Modelling flow and oscillations in collapsible tubes. Theor Comput Fluid Dyn 10:277–294

    Article  MATH  Google Scholar 

  • Sajeesh P, Doble M, Sen AK (2014) Hydrodynamic resistance and mobility of deformable objects in microfluidic channels. Biomicrofluidics 8:054112

    Article  Google Scholar 

  • Schomburg WK (2011) Introduction to microsystem design. Springer. ISBN 978-3-642-19488-7

  • Shapiro AH (1977) Steady flow in collapsible tubes. J Biomech Eng 99(3):126–147

    Article  Google Scholar 

  • Singh S, Kumar N, George D, Sen AK (2015) Analytical modeling, simulations and experimental studies of a PZT actuated planar valveless PDMS micropump. Sens Actuators A 225:81–94

    Article  Google Scholar 

  • Thangawng AL, Ruoff Rodney S, Swartz Melody A, Glucksberg Matthew R (2007) An ultra-thin PDMS membrane as a bio/micro–nano interface: fabrication and characterization. Biomed Microdevices 9:587–595

    Article  Google Scholar 

  • Wang Z, Volinsky AA, Gallant ND (2014) Crosslinking effect on polydimethylsiloxane elastic modulus measured by custom-built compression instrument. J Appl Polym Sci. doi:10.1002/APP.41050

    Google Scholar 

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Acknowledgments

This work was supported by the Indian Institute of Technology Madras via project no. ERP1314018RESFASHS. The authors acknowledge the MEMS Lab of EE, IIT, Madras, for supporting the photolithography work.

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Correspondence to A. K. Sen.

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Raj, A., Sen, A.K. Flow-induced deformation of compliant microchannels and its effect on pressure–flow characteristics. Microfluid Nanofluid 20, 31 (2016). https://doi.org/10.1007/s10404-016-1702-9

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