Abstract
Shallow water model was employed to approximate the three-dimensional flows of a thin micropump to a two-dimensional thickness-averaged flows. The finite element method and pressure correction algorithm were used to solve the two-dimensional flows of the pump and calculate the pump flow rate. The numerical results indicate that: 1) Phase differences in time of flow velocities and backflows occur across section of diffuser connecting to pump chamber; 2) A pair of symmetric vortexes appear inside the pump chamber at the end of suction flow phase; 3) The directional flow rate of the pump is dominated by nonlinearity of Navier-Stokes equations. Quantitative relations of the pump flow rate versus the ratio of diffuser length to width, the ratio of diffuser thickness to width, fluid viscosity and backpressure were also given. Possibly maximal flow rate can be achieved by optimizing the pump parameters.
Similar content being viewed by others
References
Xie Haibo, Chen Yuanling. Numerical simulation and parameter design of valveless micropumps[J].Fluid Machine, 2000,30(1): 11–14 (in Chinese).
Xie Haibo, Chen Yuanling. Flow simulation and experimental study of valveless micropumps [J].Mechanical Engineering, 2002,38(7): 54–57 (in Chinese).
Anders Olsson, Göran Stemme, Erik Stemme. Numerical and experimental studies of flatwalled diffuser elements for valveless micropumps[J].Sensors and Actuators, A, 200084: 165–175.
Jiang X N, Zhou Z Y, Huang X Yet al. Micronozzle/diffuser flow and its application in valve-less pumps[J].Sensors and Actuators, A, 1998,70: 81–87.
Amos Ullmann, Ilan Fono, Yehuda Taitel. A piezoelectric valve-less pump-dynamic, model[J].Journal of Fluids Engineering, 2001,123: 92–98.
Amos Ullmann, Ilan Fono. The piezoelectric valve-less pump-improved dynamic model[J].Journal of Microelectromechanical System, 2002,11(6): 655–664.
Amos Ullmann. The piezoelectric valve-less pump performance enhancement analysis[J].Sensors and Actuators, A, 1998,69: 97–100.
Anders Olsson, Göran Stemme, Erik Stemme. A valve-less planar fluid pump with two pump chambers[J].Sensors and Actuators, A, 1995,47: 549–556.
Anders Olsson, Göran Stemme, Erik Stemme. A numerical design study of valveless diffuser pump using a lumped-mass model[J].J Micromech Microeng, 1999,9: 34–44.
Anders Olsson, Peter Enoksson, Göran Stemme,et al. Micromachined flat-walled valveless diffuser pumps[J].Journal of Microelectromechanical System, 1997,6(2): 161–166.
Wang Ping, Han Zhenxing, Zhang Yuanjun,et al. Complete Handbook of Fluid Mechanics[M]. Beijing University of Aeronautics and Astronautics, Beijing, 1991 (in Chinese).
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by DAI Shi-qiang
Project supported by the National Natural Science Foundation of China (No. 10472036)
Rights and permissions
About this article
Cite this article
Yong-li, Z., Jian-kang, W. Numerical study of periodical flows of piezoelectric valveless micropump for biochips. Appl Math Mech 26, 1026–1033 (2005). https://doi.org/10.1007/BF02466415
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02466415