Pressure Drop in Rectangular Microchannels as Compared With Theory Based on Arbitrary Cross Section

Pressure driven liquid flow through rectangular cross-section microchannels is investigated experimentally. Polydimethylsiloxane microchannels are fabricated using soft lithography. Pressure drop data are used to characterize the friction factor over a range of aspect ratios from 0.13 to 0.76 and Reynolds number from 1 to 35 with distilled water as working fluid. Results are compared with the general model developed to predict the fully developed pressure drop in arbitrary cross-section microchannels. Using available theories, effects of different losses, such as developing region, minor flow contraction and expansion, and streaming potential on the measured pressure drop, are investigated. Experimental results compare well with the theory based on the presure drop in channels of arbitrary cross section.

[1]  B. Weigl,et al.  Lab-on-a-chip for drug development. , 2003, Advanced drug delivery reviews.

[2]  S. Kandlikar,et al.  Single-phase liquid friction factors in microchannels ✩ , 2005 .

[3]  Roland Baviere,et al.  Experimental characterization of water flow through smooth rectangular microchannels , 2005 .

[4]  Majid Bahrami,et al.  A novel solution for pressure drop in singly connected microchannels of arbitrary cross-section , 2007 .

[5]  M. Yovanovich,et al.  Pressure Drop of Fully-Developed, Laminar Flow in Microchannels of Arbitrary Cross-Section , 2006 .

[6]  B. W. Webb,et al.  Characterization of frictional pressure drop for liquid flows through microchannels , 2002 .

[7]  G. Mala,et al.  Pressure-driven water flows in trapezoidal silicon microchannels , 2000 .

[8]  P. Cremer,et al.  Microfluidic diffusion diluter: bulging of PDMS microchannels under pressure-driven flow , 2003 .

[9]  Dongqing Li,et al.  Electroviscous effects on pressure-driven flow of dilute electrolyte solutions in small microchannels. , 2004, Journal of colloid and interface science.

[10]  David R. Lide,et al.  CRC HANDBOOK of THERMOPHYSICAL and THERMOCHEMICAL DATA , 1994 .

[11]  Dongqing Li,et al.  Electrokinetic concentration gradient generation using a converging-diverging microchannel , 2005 .

[12]  Jay N. Zemel,et al.  Liquid Transport In Micron And Submicron Channels , 1989, Optics & Photonics.

[13]  Carolyn L. Ren,et al.  Improved understanding of the effect of electrical double layer on pressure-driven flow in microchannels , 2005 .

[14]  R. Pease,et al.  High-performance heat sinking for VLSI , 1981, IEEE Electron Device Letters.

[15]  T. Bayraktar,et al.  Characterization of liquid flows in microfluidic systems , 2006 .

[16]  R. Adrian,et al.  Liquid flows in microchannels , 2005 .

[17]  H. Becker,et al.  Polymer microfluidic devices. , 2002, Talanta.

[18]  X. Peng,et al.  FRICTIONAL FLOW CHARACTERISTICS OF WATER FLOWING THROUGH RECTANGULAR MICROCHANNELS , 1994 .

[19]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[20]  Eli Grushka,et al.  Effect of temperature gradients on the efficiency of capillary zone electrophoresis separations , 1989 .

[21]  F. White Viscous Fluid Flow , 1974 .

[22]  A. London,et al.  Compact heat exchangers , 1960 .

[23]  Paul Watts,et al.  Micro reactors: principles and applications in organic synthesis , 2002 .

[24]  Ian Papautsky,et al.  Laminar fluid behavior in microchannels using micropolar fluid theory , 1999 .

[25]  Dongqing Li,et al.  Flow characteristics of water in microtubes , 1999 .

[26]  Huiying Wu,et al.  Friction factors in smooth trapezoidal silicon microchannels with different aspect ratios , 2003 .

[27]  G. Whitesides,et al.  Fabrication of microfluidic systems in poly(dimethylsiloxane) , 2000, Electrophoresis.

[28]  An investigation of the temperature dependence of Poiseuille numbers in microchannel flow , 1993 .

[29]  J. P. Holman,et al.  Experimental methods for engineers , 1971 .

[30]  W. Ehrfeld Electrochemistry and microsystems , 2003 .

[31]  Dongqing Li,et al.  Heat transfer for water flow in trapezoidal silicon microchannels , 2000 .

[32]  Majid Bahrami,et al.  Pressure Drop of Fully Developed, Laminar Flow in Rough Microtubes , 2006 .

[33]  M. Yovanovich,et al.  Laminar Flow Friction and Heat Transfer in Non-Circular Ducts and Channels Part II: ThermalProblem , 2002 .

[34]  S. Garimella,et al.  Investigation of Liquid Flow in Microchannels , 2002 .

[35]  S. Quake,et al.  Microfluidics: Fluid physics at the nanoliter scale , 2005 .

[36]  M. Yovanovich,et al.  A general expression for predicting conduction shape factors , 1973 .

[37]  J. Zemel,et al.  Liquid transport in micron and submicron channels , 1990 .

[38]  Stéphane Le Person,et al.  Scale effects on hydrodynamics and heat transfer in two-dimensional mini and microchannels , 2002 .

[39]  Tibor Chován,et al.  Microfabricated devices in biotechnology and biochemical processing. , 2002, Trends in biotechnology.

[40]  C. Y. Liu,et al.  Laminar flow through microchannels used for microscale cooling systems , 1997, Proceedings of the 1997 1st Electronic Packaging Technology Conference (Cat. No.97TH8307).

[41]  S H DeWitt,et al.  Microreactors for chemical synthesis. , 1999, Current opinion in chemical biology.

[42]  Zeng-Yuan Guo,et al.  Size effect on microscale single-phase flow and heat transfer , 2002 .

[43]  W. Choi,et al.  Experimental investigation of flow friction for liquid flow in microchannels , 2000 .

[44]  Stéphane Colin,et al.  Heat Transfer and Fluid Flow in Minichannels and Microchannels , 2005 .

[45]  R. Miyake,et al.  Micro mixer with fast diffusion , 1993, [1993] Proceedings IEEE Micro Electro Mechanical Systems.

[46]  Jacob H. Masliyah,et al.  Electrokinetic and Colloid Transport Phenomena: Masliyah/Electrokinetic and Colloid Transport Phenomena , 2006 .

[47]  Gian Piero Celata,et al.  Water Single-Phase Fluid Flow and Heat Transfer in Capillary Tubes , 2003 .

[48]  G. Whitesides The origins and the future of microfluidics , 2006, Nature.

[49]  S. Bhattacharjee,et al.  Electrokinetic and Colloid Transport Phenomena , 2006 .

[50]  Thomas Gervais,et al.  Flow-induced deformation of shallow microfluidic channels. , 2006, Lab on a chip.

[51]  S. Dewitt,et al.  Micro reactors for chemical synthesis , 1999 .

[52]  D. Erickson,et al.  Joule heating and heat transfer in poly(dimethylsiloxane) microfluidic systems. , 2003, Lab on a chip.

[53]  R. Shah Laminar Flow Forced convection in ducts , 1978 .