Abstract
In this study, the performance of Tesla-type microvalves, used in micropumps for low frequency driving force, is examined. Three-dimensional and unsteady numerical analysis of fluid flow inside a valveless reciprocating micropump in the range of low working frequencies is carried out. Reciprocating movement of flow actuator provides the actuation and pumping of the working fluid. Ferrofluidic valveless micropump is one practical sample of this kind of micropumps that operate in the range of low working frequencies. To model the reciprocating movement of flow actuator, two time varying functions that includes sinusoidal and step excitation are employed. Also, the performance of nozzle-diffuser valve for the same range of frequencies is examined and its performance is compared with the Tesla valve. The simulation results of the ferrofluidic valveless micropump with the nozzle-diffuser valve show good agreement with the experimental data and linear relation between head and flow rate in micropump is confirmed. Performance curve, the flow rate versus head, is obtained for different working frequencies. The simulations show that the micropump with Tesla type valve in comparison to micropump with nozzle–diffuser type valve has lower maximum flow rate for all range of operating frequencies. However, it has higher maximum head at high operating frequencies. These results show the weakness of the Tesla type valve in low working frequencies and Reynolds numbers.
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Abbreviations
- NMP:
-
No-Moving-Part
References
Laser DJ, Santiago JG (2004) A review of micropumps. J Micromech Microeng 14:35–64
Woias P (2005) Micropumps—past, progress and future prospects. Sensors Actuators B 105:28–38
Nisar A, Afzulpurkar N, Mahaisavariya B, Tuantranont A (2008) MEMS-based micropumps in drug delivery and biomedical applications. Sensors Actuators B 130:917–942
Iverson BD, Garimella SV (2008) Recent advances in microscale pumping technologies: a review and evaluation. J Microfluid Nanofluid 5:145–174
Nabavi M (2009) Steady and unsteady flow analysis in microdiffusers and micropumps: a critical review. J Microfluid Nanofluid 7:599–619
Amirouche F, Zhou Y, Johnson T (2009) Current micropump technologies and their biomedical applications. J Microsyst Technol 15:647–666
Stemme E, Stemme G (1993) A valveless diffuser nozzle-based fluid pumps. Sensors Actuators A Phys 39:159–167
Forster F, Bardell R, Afromowitz M, Sharma N, Blanchard A (1995) Design, fabrication and testing of fixed-valve micropumps. Proc ASME Int Mechanical Engineering Congress and Exposition San Francisco, CA, New York, (ASME)
Gamboa AR, Morris CJ, Forster FK (2005) Improvement in fixed-valve micropump performance through shape optimization of valves. J Fluid Engineering 127:339–346
Izzo I, Accoto D, Menciassi A, Lother S, Paolo D (2007) Modeling and experimental validation of a piezoelectric micropump with novel no-moving-part valves. Sensors Actuators A 133:128–140
Kolahdouz Ebrahim M (2010) Design and fabrication of a piezoelectrically actuated micropump using modified Tesla type micovalves. MS Thesis, Isfahan University of Technology, Isfahan, Iran
Mohammadzadeh K, Kolahdouz EM, Shirani E, Shafii MB (2013) Numerical investigation on the effect of the size and number of stages on the Tesla microvalve efficiency. Accepted for publication in Journal of Mechanics
Reed JL, Fla O (1993) Fluidic rectifier U.S. Patent No. 5,265,636
Forster F, Williams B (2002) Parametric design of fixed-geometry microvalves-the tesser valve. ASME international Mechanical Engineering Congress & Exposition 431–437
Liao PF (2004) A study on no-moving-part valves for flows in microchannels. MS thesis, Department of Aeronautics and Astronautics, National Cheng Kung University
Morris CJ, Forster FK (2003) Low-order modeling of resonance for fixed-valve micropumps based on first principles. J Microelectromech Syst 12(3):325–334
Deshpande M, Gilbert J, Bardell R, Forster F (1998) Design analysis of no-moving-parts valves for micropumps. J Microelectromech Syst DSC 66:153–158
Hatch A, Kamholz AE, Holman G, Yager P, Bohringer KF (2001) A ferrofluidic magnetic micropump. J Microelectromech Syst 10(2):215–221
Nguyen NT, Chai MF (2009) A stepper micropump for ferrofluid driven microfluidic systems. Micro Nanosystems 1:17–21
Kim EG, Oh JG, Choi B (2006) A study on the development of a continuous peristaltic micropump using magnetic fluids. Sensors Actuators A Phys 128(1):43–51
Lee SM, Kuan YD, Sung MF (2011) Design and fabrication of a magnetic fluid micropump for applications in direct methanol fuel cells. J Power Sources 196(18):7609–7615
Mao L, Koser H (2005) An integrated MEMS ferrofluid pump using insulated metal substrate. IECON Proceedings (Industrial Electronics Conference), art. no. 1569275:2372–2375
Kurtoǧlu E, Bilgin A, Şeşen M, Misirlioǧlu B, Yildiz M, Acar HFY, Koşar A (2012) Ferrofluid actuation with varying magnetic fields for micropumping applications. Microfluid Nanofluid 1–12
Hartshorne H, Backhouse CJ, Lee WE (2004) Ferrofluid-based microchip pump and valve. Sensors Actuators B Chem 99(2–3):592–600
Yamahata C, Chastellain M, Parashar VK, Petri A, Hofmann H, Gijs MAM (2005) Plastic Micropump with ferrofluidic actuation. J Microelectromech Syst 14:96–102
Yamahata C, Gijs MAM (2004) Plastic micropumps using ferrofluid and magnetic membrane actuation. Proceedings of the IEEE International Conference on Micro Electro Mechanical Systems (MEMS):458–461
Ghahramani H, golshani M (2010) Fabrication of ferrofluidic micropump. BS dissertation, Sharif University of Technology, Tehran, Iran
Kumamaru H, Okamoto S, Arimoto K, Itoh K, Shimogonya Y (2010) Experimental Study on Micropump using Reciprocating Motion of Magnetic Ball Covered with Magnetic Fluid. 12th International Conference on Magnetic Fluids, Physics Procedia 9:238–242
Zhu T, Lichlyter DJ, Haidekker MA, Mao L (2011) Analytical model of microfluidic transport of non-magnetic particles in ferrofluids under the influence of a permanent magnet. J Microfluid Nanofluid 10:1233–1245
Yang KS, Chen IY, Chien KH, Wang CC (2008) A numerical study of the nozzle/diffuser micropump. J Mech Eng Sci 222:525–533
Peng XF, Peterson GP, Wang BX (1994) Frictional flow characteristics of water flowing through rectangular microchannels. J Exp Heat Transf 7:249–264
Acknowledgments
This work is supported by Isfahan University of Technology (IUT). Kazem Mohammadzadeh thanks Mr. Seyed Hossein Masrouri Saadat and also Majid Ashouri for their help.
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Mohammadzadeh, K., Kolahdouz, E.M., Shirani, E. et al. Numerical study on the performance of Tesla type microvalve in a valveless micropump in the range of low frequencies. J Micro-Bio Robot 8, 145–159 (2013). https://doi.org/10.1007/s12213-013-0069-1
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DOI: https://doi.org/10.1007/s12213-013-0069-1
Keywords
- Valveless micropump
- Tesla microvalve
- Three-dimensional simulation
- Low working frequencies