JOURNAL BROWSE
Search
Advanced SearchSearch Tips
VALVELESS PUMPING IN OPEN TANK SYSTEM USING ENERGY CONSERVING COMPARTMENT MODEL
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
VALVELESS PUMPING IN OPEN TANK SYSTEM USING ENERGY CONSERVING COMPARTMENT MODEL
Jung, Eun-Ok; Kim, Do-Wan;
  PDF(new window)
 Abstract
A compartment model of the flow driven by pumping without valves (valveless pumping) in an open tank system is proposed. By the open tank system, we mean that two rigid cylindrical tanks are connected with an elastic tube. An incompressible fluid fills this system up to a certain level in tanks under the gravity. The compartment model for analyzing such open system is derived from the energy principle which will be called the energy conserving compartment model or shortly the ECCM. Based on this ECCM of valveless pumping, we explore the occurrence of directional net flow or directional net power by a specific excitation at an asymmetric part of the elastic tube. The interaction between deformable elastic tube and the fluid inside is considered in the ECCM. The reliability of the ECCMis investigated through some physical examples. The ECCM shows the existence of directional net power of the valveless pump system with open tanks and confirms that the direction and magnitude of the net power depend on the pumping frequency as well. Furthermore, the phase synchronization in time between the fluid pressure difference and the external pinching force over the pumping region is highly related to the direction of energy storing or net power.
 Keywords
valveless pumping;compartment model;energy principle;energy storing;net power;phase synchronization;
 Language
English
 Cited by
 References
1.
D. Auerbach, W. Moehring, and M. Moser, An analytic approach to the Liebau problem of valveless pumping, Cardiovasc. Eng. 4 (2004), 201-207. crossref(new window)

2.
I. Avrahami and M. Gharib, Computational studies of resonance wave pumping in compliant tube, J. Fluid Mech. 608 (2008), 139-160.

3.
A. Borzi and G. Propst, Numerical investigation of the Liebau phenomenon, Z. Angew. Math. Phys. 54 (2003), no. 6, 1050-1072. crossref(new window)

4.
T. T. Bringley, S. Childress, N. Vandenberghe, and J. Zhang, An experimental investigation and a simple model of a valveless pump, Phys. Fluids 20 (2008), 033602. crossref(new window)

5.
H.-T. Chang, C.-Y. Lee, and C.-Y. Wen, Design and modeling of a MEMS-based valveless pump driven by an electromagnetic force, DTIP of MEMS & MOEMS, Stresa, Italy, 26-28 April 2006.

6.
H.-T. Chang, C.-Y. Lee, C.-Y. Wen, and B.-S. Hong, Theoretical analysis and optimization of electromagnetic actuation in a valveless microimpedance pump, Microelectron. J. 38 (2007), 791-799. crossref(new window)

7.
A. I. Hickerson, An Experimental Analysis of the Characteristic Behaviors of an Impedance Pump, Thesis, California Institute of Technology Pasadena, California, 2005.

8.
A. I. Hickerson, D. Rinderknecht, and M. Gharib, Experimental study of the behavior of a valveless impedance pump, Exps. Fluids 38 (2005), 534-540. crossref(new window)

9.
E. Jung, A mathematical model of valveless pumping: A lumped model with timedependent compliance, resistance, and inertia, Bull. Math. Biol. 69 (2007), no. 7, 2181- 2198. crossref(new window)

10.
T. Kenner, Biological asymmetry and cardiovascular blood transport, Cardiovasc. Eng. 4 (2004), 209-218. crossref(new window)

11.
J. Koo and C. Kleinstreuer, Viscous dissipation effects in microtubes and microchannels, Int. J. Heat Mass Tran. 47 (2004), 3159-3169. crossref(new window)

12.
S. Lee and E. Jung, A two-chamber model of valveless pumping using the immersed boundary method, Appl. Math. Comput. 206 (2008), no. 2, 876-884. crossref(new window)

13.
W. Lee, E. Jung, and S. Lee, Simulations of valveless pumping in an open elastic tube, SIAM J. Sci. Comput. 31 (2009), no. 3, 1901-1925. crossref(new window)

14.
G. Liebau, Prinzipien Kombinierter Ventilloser Pumpen, Abgeleitet Vom Menschlichen Blutkreislauf, Naturwissenschaften 42 (2008), 339.

15.
Y. Y. Lin Wang, W.-B. Chiu, M.-Y. Jan, J.-G. Bau, S.-P. Li, and W.-K. Wang, Analysis of transverse wave as a propagation mode for the pressure pulse in large arteries, J. Appl. Phys. 102 (2007), 064702. crossref(new window)

16.
L. Loumes, I. Avrahami, and M. Gharib, Resonant pumping in a multilayer impedance pump, Phys. Fluids 20 (2008), 023103. crossref(new window)

17.
C. G. Manopoulos, D. S. Mathioulakis, and S. G. Tsangaris, One-dimensional model of valveless pumping in a closed loop and a numerical solution, Phys. Fluids 18 (2006), 017106. crossref(new window)

18.
C. G. Manopoulos and S. Tsangaris, Modelling of the blood flow circulation in the human foetus by the end of the third week of gestation, Cardiovasc. Eng. 5 (2005), 29-35. crossref(new window)

19.
A. Olsson, G. Stemme, and E. Stemme, A numerical design study of the valveless diffuser pump using a lumped-mass model, J. Micromech. Microeng. 9 (1999), 34-44. crossref(new window)

20.
J. T. Ottesen, Valveless pumping in a fluid-filled closed elastic tube-system: onedimensional theory with experimental validation, J. Math. Biol. 46 (2003), no. 4, 309-332. crossref(new window)

21.
G. Propst, Pumping effects in models of periodically forced flow configurations, Phys. D 217 (2006), no. 2, 193-201. crossref(new window)

22.
D. Rinderknecht, A. I. Hickerson, and M. Gharib, A valveless micro impedance pump driven by electromagnetic actuation, J. Micromech. Microeng. 15 (2005), 861-866. crossref(new window)

23.
S. Takagi and K. Takahashi, Study of a piston pump without valves, Bull. JSME 28 (1985), 831-836. crossref(new window)

24.
S. Timmermann and J. T. Ottesen, Novel characteristics of valveless pumping, Phys. Fluids 21 (2009), 053601. crossref(new window)

25.
A. Ullmann and I. Fono, The Piezoelectric Valve-Less Pump-Improved Dynamic Model, J. Microelectromech. Syst. 11 (2002), 655-664. crossref(new window)