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Microchannels flow modelling with the micropolar fluid theory

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The aim of this paper is to study the applicability of the theory of micropolar fluids to modelling and calculating flows in microchannels depending on the geometrical dimension of the flow field. First, it will be shown that if the characteristic linear dimension of the flow becomes appropriately large, the equations describing the micropolar fluid flow can be transformed into Navier-Stokes equations. Next, Poiseuille flows in a microchannel is studied in detail. In particular, the maximal cross-sectional size of the channel for which the micropolar effects of the fluid flow become important will be established. The experimentally determined values of rheological constants of the fluid have been used in calculations.
Rocznik
Strony
209--214
Opis fizyczny
Bibliogr. 23 poz., 2 rys., 1 tab.
Twórcy
  • Department of Fluid Mechanics and Aerodynamics, Rzeszów University of Technology 8 Powstańców Warszawy St., 35–959 Rzeszów, Poland
Bibliografia
  • [1] G. E. Kariandakis and A. Beskok, Microflows Fundamental and Simulation, Springer Verlag, Berlin, 2002.
  • [2] P. Tabeling, “Some basic problems of microfuidics”, 14th Australian Fluid Mech. Conference, 10–14 Dec. 2001, www.mmn.espci.fr/Publ;ications/Microfluidics.pdf.
  • [3] K. V. Sharp, R. J. Adrian, J. G. Santiago and J. I. Molho, Liquid Flows in Micro-channels, TAM ReportNo 961, University of Illinois atUrbana-Champaign, 2000.
  • [4] Gad-El-Hak, “The fluid mechanics of microdevices”, “The Freeman scholar lecture”, J. Fluids Engng., 1215–1233 (1999).
  • [5] C. M. Ho and Y. C. Tai, “Micro-electro-mechanical systems (MEMS) and fluid flows”, Ann. Rev. Fluid Mech. 30, 579–612 (1998).
  • [6] A. C. Eringen, “Theory of micropolar fluids”, J. Math. Mech. 16(1), 1–16 (1966).
  • [7] A. C. Eringen, Microcontinuum Field Theories. II. Fluent media, Springer Verlag, New York, 2001.
  • [8] I. Papautsky, J. Brazzle, T. Ameel and A. B. Frazier, “Laminar fluid behavior in microchannels using micropolar fluid theory”, Sensors and Actuators A 73(2), 101–108 (1999).
  • [9] I. Papautsky, J. Brazzle, T. Amel and A. B. Frazier, “Microchannel fluid behavior using micropolar fluid theory”, Proc. EMBS 97, Microelectromech. Sys., Chicago, 2285–2291 1997.
  • [10] P. Prokhorenko, N. P. Migoun and M. Stadthaus, Theoretical Principles of Liquid Penetrant Testing, DVS Verlag, Berlin, 1999.
  • [11] J. Delhommelle and D. J. Evans, “Poiseille flow of micropolar fluid”, Molecular Physics 100(17), 2857–65 (2002).
  • [12] Y. Radzyner and D. C. Rapaport, “Orientational effects in the channel flow of flexible and rigid molecules”, Phys. Rev. E 57, 5687–5693 (1998).
  • [13] K. P. Travis, B. D. Todd and D. J. Evans, “Departure from Navier-Stokes hydrody-namics in confined liquids”, Phys. Rev. E 55(4), 4288–4295 (1997).
  • [14] K. P. Travis, B. D. Todd and D. J. Evans, “Poiseuille flow of molecular fluids”, Physica A 240, 315–327 (1997).
  • [15] A. Kucaba-Piętal, Z. A. Walenta and Z. Peradzyński, “Water flows in copper and quartz nanochannels”, XXI International Congress of Theoretical and Applied Mechanics, CD.-ROM Proceedings, Warsaw, Poland, August15–21, 2004.
  • [16] K. A. Kline and S. J. Allen, “Nonsteady flows of fluids with microstructure”, Physics of Fluids 13, 263–283 (1970).
  • [17] A. J. Willson, “Basic flows of micropolar liquid”, Appl. Sci. Res. 20, 338–335 (1969).
  • [18] G. Łukaszewicz, Micropolar Fluids. Theory and Application, Birkhouser, Berlin, 1999.
  • [19] N. P. Migoun, “Kapillarnaja wiskozimietrija dla mikroobjemow żydkostiej”, in Fiziczeskaja Mietieorołogija, Nauka, Sankt Pietierburg, 1996.
  • [20] N. P. Migoun and P. P. Prochorenko, Gidrodinamika i Tiepłoobmien Gradientnych Tieczenij Mikrostrukturnoj Żydkosti, Nauka i Tiechnołogija, Minsk, 1984.
  • [21] A. Kucaba-Piętal, Microflows Modelling by Use Micropolar Fluid Theory, OW. PRz, Rzeszów, 2004 (in Polish).
  • [22] A. Kucaba-Piętal, Z. A. Walenta and Z. Peradzyński, “Flows in nanochannels”, XVI Polish Conference of Fluid Mechanics, CD.-ROM Proceedings, Waplewo Poland, September 20–23, 2004 (in Polish).
  • [23] A. Kucaba-Piętal, Z. A. Walenta and Z. Peradzyński, “Flows in Microchannels”, TASK Quaterly 5(2), 179–189 (2001).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG5-0001-0029
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