Abstract
A design method is proposed for nanofluidic circuits, based on the flow equation for a nanoscale fluid flow. This method incorporates the use of the concepts of the flow resistance, the flow rate, the pressure drop and the power loss, as like in electric circuits. The equations for calculating the flow resistance and the power loss in exemplary nanofluidic circuits including in a nanotube tree are presented. It was found that the nanotube size and the fluid-tube wall interaction both have great influences on the flow resistance and the power loss in nanochannel flow. Exemplary design analysis is given for some nanofluidic circuits, based on the proposed method.
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References
Abraham FF (1978) The interfacial density profile of a Lennard-Jones fluid in contact with a (100) Lennard-Jones wall and its relationship to idealized fluid/wall systems: a Monte Carlo simulation. J Chem Phys 68:3713–3716
Aguillela VM, Alcaraz A (2009) A fluid approach to simple circuits. Nat Nanotech 4:403–404
Ahn DJ (2008) Nano pump using molecular motor. US Patent App. 12/200,888
Alibakhshi MA, Xie Q, Li Y, Duan C (2016) Accurate measurement of liquid transport through nanoscale conduits. Sci Rep 6:24936
Aubert JH, Tirrell M (1982) Effective viscosity of dilute polymer solutions near confining boundaries. J Chem Phys 77:553–561
Bitsanis I, Magda JJ, Tirrell M, Davis HT (1987) Molecular dynamics of flow in micropores. J Chem Phys 87:1733–1750
Bojko A, Andreatta G, Montagne F, Renaud P, Pugin R (2014) Fabrication of thermo-responsive nano-valve by grafting-to in melt of poly(N-isopropylacrylamide) onto nanoporous silicon nitride membranes. J Membr Sci 468:118–125
Chan DYC, Horn RG (1985) The drainage of thin liquid films between solid surfaces. J Chem Phys 83:5311–5324
Chauveteau G, Tirrell M, Omari A (1984) Concentration dependence of the effective viscosity of polymer solutions in small pores with repulsive or attractive walls. J Coll Int Sci 100:41–54
Daiguji H, Yang P, Majumdar A (2004) Ion transport in nanofluidic channels. Nano Lett 4:137–142
Daiguji H, Oka Y, Shirono K (2005) Nanofluidic diode and bipolar transistor. Nano Lett 5:2274–2280
Duan C, Majumdar A (2010) Anomalous ion transport in 2-nm hydrophilic nanochannels. Nat Nanotech 5:848–852
Fuest M, Boone C, Rangharajan KK, Conlisk AT, Prakash S (2015) A three-state nanofluidic field effect switch. Nano Lett 15:2365–2371
Fuest M, Rangharajan KK, Boone C, Conlisk AT, Prakash S (2017) Cation dependent surface charge regulation in gated nanofluidic devices. Anal Chem 89:1593–1601
Horn RG, Smith DT, Haller W (1989) Surface forces and viscosity of water measured between silica sheets. Chem Phys Lett 162:404–408
Humplik T, Lee J, O’Hern SC, Fellman BA, Baig MA, Hassan SF, Atieh MA, Rahman F, Laoui T, Karnik R, Wang EN (2011) Nanostructured materials for water desalination. Nanotech 22:292001
Jabbarzadeh A, Atkinson JD, Tanner RI (1997) Rheological properties of thin liquid films by molecular dynamics simulations. J Nonnewton Fluid Mech 69:169–193
Karnik R, Fan R, Yue M, Li D, Yang P, Majumdar A (2005) Electrostatic control of ions and molecules in nanofluidic transistors. Nano Lett 5:943–948
Karnik R, Castelino K, Majumdar A (2006) Field-effect control of protein transport in a nanofluidic transistor circuit. Appl Phys Lett 88:123114
Kasiteropoulou D, Karakasidis TE, Liakopoulos A (2013) Mesoscopic simulation of fluid flow in periodically grooved microchannels. Comput Fluids 74:91–101
Lee KP, Leese H, Matia D (2012) Water flow enhancement in hydrophilic nanochannels. Nanoscale 4:2621–2627
Liakopoulos A, Sofos F, Karakasidis TE (2016) Friction factor in nanochannel flows. Microfluid Nanofluid 20:24–30
Liakopoulos A, Sofos F, Karakasidis TE (2017) Darcy–Weisbach friction factor at the nanoscale: from atomistic calculations to continuum models. Phys Fluids 29:052003
Magda JJ, Tirrell M, Davis HT (1985) Molecular dynamics of narrow, liquid-filled Pores. J Chem Phys 83:1888–1901
Meyer E, Overney RM, Dransfeld K, Gyalog T (1998) Nanoscience-friction and rheology on the nanometer scale. World Scientific Press, River edge
Perry JL, Kandlikar SG (2006) Review of fabrication of nanochannels for single phase liquid flow. Microfluid Nanofluid 2:185–193
Pinti M, Kambham T, Wang B, Prakash S (2013) Fabrication of centimeter long, ultra-low aspect ratio nanochannel networks in borosilicate glass substrates. ASME J Nanotech Eng Med 4:021003
Piruska A, Gong M, Sweedler JV, Bohn PW (2010) Nanofluidics in chemical analysis. Chem Soc Rev 39:1060–1072
Plecis A, Schoch RB, Renaud P (2005) Ionic transport phenomena in nanofluidics: experimental and theoretical study of the exclusion-enrichment effect on a chip. Nano Lett 5:1147–1155
Prakash S, Conlisk AT (2016) Field effect nanofluidics. Lab Chip 16:3855–3865
Prakash S, Zambrano H, Rosenthal-Kim EQ (2015) Electrokinetic transport in silica nanochannels with asymmetric surface charge. Microfluid Nanofluid 19:1455–1464
Rahmatipour H, Azimian AR, Atlaschian O (2017) Study of fluid flow behavior in smooth and rough nanochannels through oscillatory wall by molecular dynamics simulation. Physica A Stat Mech Appl 465:159–174
Sofos F, Karakasidis TE, Liakopoulos A (2013) Parameters affecting the slip length at the nanoscale. J Comput Theor Nanosci 10:648–650
Somers SA, Davis HT (1992) Microscopic dynamics of fluids confined between smooth and atomically structured solid surfaces. J Chem Phys 96:5389–5407
Stein D, Kruithof M, Dekker C (2004) Surface-charge-governed ion transport in nanofluidic channels. Phy Rev Lett 93:035901
Takaba H, Onumata Y, Nakao S (2007) Molecular simulation of pressure-driven fluid flow in nanoporous membranes. J Chem Phys 127:054703
Wei C (2007) Implantable nano pump for drug delivery. US Patent App. 11/906,238
Yu M, Falconer JL, Amundsen TJ, Hong M, Noble RD (2007) A controllable nanometer-sized valve. Adv Mater 19:3032–3036
Zhang YB (2006) Flow factor of non-continuum fluids in one-dimensional flow. Ind Lubr Tribol 58:151–169
Zhang YB (2015) A quantitative comparison between the flow factor approach model and the molecular dynamics simulation results for the flow of a confined molecularly thin fluid film. Theor Comput Fluid Dyn 29:193–204
Zhang YB (2016a) The flow equation for a nanoscale fluid flow. Int J Heat Mass Transf 92:1004–1008
Zhang YB (2016b) Calculating the maximum flowing velocity of the Poiseuille flow in a nano channel by the flow factor approach model. Int Commun Heat Mass Transf 73:111–113
Zhang YB (2016c) Effect of wall surface roughness on the mass transfer in a nano channel. Int J Heat Mass Transf 100:295–302
Zhang YB (2017a) Transport in nanotube tree. Int J Heat Mass Transf 114:536–540
Zhang YB (2017b) Influence of pore wall surface property on flux of nanoporous filtering membrane. Front Heat Mass Transf 9:26
Zhang YB (2018) Optimum design for cylindrical-shaped nanoporous filtration membrane. Int Commun Heat Mass Transf. https://doi.org/10.1016/j.icheatmasstransfer.2018.06.003
Zhang W, Li D (2007) Simulation of low speed 3D nanochannel flow. Microfluid Nanofluid 3:417–425
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Zhang, Y. A design method for nanofluidic circuits. Microsyst Technol 25, 371–379 (2019). https://doi.org/10.1007/s00542-018-4029-5
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DOI: https://doi.org/10.1007/s00542-018-4029-5