Dynamics of microscale pipes containing internal fluid flow: Damping, frequency shift, and stability

Journal of Sound and Vibration

Volumn 329, Issue 8, 2010, Pages 1081-1088

  Rinaldi, Stephanie ^a   Prabhakar, Sairam ^a   Vengallatore, Srikar ^a   Païdoussis, Michael P ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY SHIFT; HOLLOW BEAMS; INTERNAL FLOWS; INTERNAL FLUID; LOW FLOW; MICRO-SCALES; MICROFABRICATED; MICROPIPES; PIPES CONVEYING FLUID; SCALING ANALYSIS; THERMOELASTIC DAMPING;

CONTINUUM MECHANICS; DAMPING; ELASTICITY; FLOW VELOCITY; FREQUENCY SHIFT KEYING; PIPE; THERMOELASTICITY;

VIBRATION ANALYSIS;

EID: 72049096868     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2009.10.025     Document Type: Article

References (33)

1. Li M., Tang H.X., and Roukes M.L. Ultra-sensitive NEMS-based cantilevers for sensing, scanned probe and very high-frequency applications. Nature Nanotechnology 2 (2007) 114-120
2. Prabhakar S., Païdoussis M.P., and Vengallatore S. Analysis of frequency shifts due to thermoelastic coupling in flexural-mode micromechanical and nanomechanical resonators. Journal of Sound and Vibration 323 (2009) 385-396
3. Enoksson P., Stemme G., and Stemme E. Fluid density sensor based on resonance vibration. Sensors and Actuators A 46 (1995) 327-331
4. Enoksson P., Stemme G., and Stemme E. A silicon resonant sensor structure for Coriolis mass-flow measurements. Journal of Microelectromechanical Systems 6 (1997) 119-125
5. Westberg D., Paul O., Andersson G.I., and Baltes H. A CMOS-compatible device for fluid density measurements fabricated by sacrificial aluminum etching. Sensors and Actuators A 73 (1999) 243-251
6. Burg T.P., Godin M., Knudsen S.M., Shen W., Carlson G., Foster J.S., Babcock K., and Manalis S.R. Weighing of biomolecules single cells and single nanoparticles in fluid. Nature 446 (2007) 1066-1069
7. Najmzadeh M., Haasl S., and Enoksson P. A silicon straight tube fluid density sensor. Journal of Micromechanics and Microengineering 17 (2007) 1657-1663
8. Sparks D., Smith R., Cruz V., Tran N., Chimbayo A., Riley D., and Najafi N. Dynamic and kinematic viscosity measurements with a resonating microtube. Sensors and Actuators A 149 (2009) 38-41
9. Deladi S., Berenschot J.W., Tas N.R., Krijnen G.J.M., de Boer J.H., de Boer M.J., and Elwenspoek M.C. Fabrication of micromachined fountain pen with in situ characterization possibility of nanoscale surface modification. Journal of Micromechanics and Microengineering 15 (2005) 528-534
10. Kim K.-H., Moldovan N., and Espinosa H.D. A nanofountain probe with sub-100 nm molecular writing resolution. Small 1 (2005) 632-635
11. Païdoussis M.P. Fluid Structure Interactions: Slender Structures and Axial Flow Vol. 1 (1998), Academic Press, London
12. Whitby M., and Quirke N. Fluid flow in carbon nanotubes and nanopipes. Nature Nanotechnology 2 (2007) 87-94
13. Yoon J., Ru C.Q., and Mioduchowski A. Flow-induced flutter instability of cantilever carbon nanotubes. International Journal of Solids and Structures 43 (2006) 3337-3349
14. Yan Y., He X.Q., Zhang L.X., and Wang Q. Flow-induced instability of double-walled carbon nanotubes based on an elastic shell model. Journal of Applied Physics 102 (2007) 044307
15. Senturia S.D. Microsystem Design (2001), Kluwer, Norwell
16. Pelesko J.A., and Bernstein D.H. Modeling MEMS and NEMS (2002), CRC Press, Boca Raton
17. Bruus H. Theoretical Microfluidics (2008), Oxford University Press, Oxford, UK
18. Freund L.B., and Suresh S. Thin Film Materials (2003), Cambridge University Press, Cambridge, UK
19. Srikar V.T., and Spearing S.M. Materials selection in micromechanical design: an application of the Ashby approach. Journal of Microelectromechanical Systems 12 (2003) 3-10
20. Srikar V.T., and Spearing S.M. A critical review of microscale mechanical testing methods used in the design of microelectromechanical systems. Experimental Mechanics 43 (2003) 238-247
21. Travis K.P., Todd B.D., and Evans D.J. Departure from Navier-Stokes hydrodynamics in confined liquids. Physical Review E 55 (1997) 4288-4295
22. Cheng J.-T., and Giordano N. Fluid flow through nanometer-scale channels. Physical Review E 65 (2002) 031206
23. Chen G. Nanoscale Energy Transport and Conversion (2005), Oxford University Press, Oxford, UK
24. Groblacher S., Hertzberg J.B., Vanner M.R., Cole G.D., Gigan S., Schwab K.C., and Aspelmeyer M. Demonstration of an ultracold micro-optomechanical oscillator in a cryogenic cavity. Nature Physics 5 (2009) 485-488
25. Païdoussis M.P., and Issid N.T. Dynamic stability of pipes conveying fluid. Journal of Sound and Vibration 33 (1974) 267-294
26. Païdoussis M.P., and Des Trois Maisons P.E. Free vibration of a heavy damped vertical cantilever. Journal of Applied Mechanics 38 (1971) 524-526
27. Benjamin T.B. Dynamics of a system of articulated pipes conveying fluids. II. Experiments. Proceedings of the Royal Society (London) A 261 (1961) 487-499
28. Mishra C., and Peles Y. Cavitation in flow through a micro-orifice inside a silicon microchannel. Physics of Fluids 17 (2005) 013601
29. Zener C. Internal friction in solids I: theory of internal friction in reeds. Physical Review 52 (1937) 230-235
30. Lifshitz R., and Roukes M.L. Thermoelastic damping in micro- and nanomechanical systems. Physical Review B 61 (2000) 5600-5609
31. Kinra V.K., and Milligan K.B. A second-law analysis of thermoelastic damping. Journal of Applied Mechanics 61 (1994) 71-76
32. Prabhakar S., and Vengallatore S. Theory of thermoelastic damping in micromechanical resonators with two-dimensional heat conduction. Journal of Microelectromechanical Systems 17 (2008) 494-502
33. Prabhakar S., and Vengallatore S. Thermoelastic damping in hollow and slotted microresonators. Journal of Microelectromechanical Systems 18 (2009) 725-735