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Tytuł artykułu

Implementation of velocity slip and temperature jump boundary conditions for microfluidic devices

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The motivation of this work is to obtain a simulation tool which will be capable of modelling simple micro-devices in the gas slip flow regime. To achieve this goal Maxwell Smoluchowski boundary conditions were implemented by means of a udf routine into the commercial fluid finite volume solver Fluent. The applied velocity slip and temperature jump boundary condition are varied for small Knudsen numbers Kn < 0.1. In this regime there are several industrial applications such as micro-electro-mechanical systems (MEMS), heat exchange on chips and boundary layer problems for aerospace and turbomachinery applications. This report shows how the boundary condition implementation was done and is applied to a number of test cases: flow through a rectangular channel, Couette flow between two cylindrical surfaces, thermal creep flowr between two heated tanks, flowr through a bended diverging channel, a box heated with different wall temperatures and a vortex pattern flow between cylindrical surfaces heated with different temperatures.
Słowa kluczowe
Rocznik
Tom
Strony
1--50
Opis fizyczny
Bibliogr. 17 poz.
Twórcy
Bibliografia
  • 1. Agrawal, A., Agrawal, A. "Three-dimensional simulation of gaseous slip flow in different aspect ratio microducts." Phys.Fluids vol. 18, 103604, 2006.
  • 2. Arkilic, E. B. "Measurement of the Mass Flow and Tangential Momentum Ac-comodation Coefficient in Silicon Micromachined Channels." Ph.D. thesis, Mas-sachusatts Institute of Technology, Cambrigde, Massachusatts, 1997.
  • 3. Beskok, A., "Thermal Creep Flows." http://www.cfm.brown.edu/people/beskok/creep.html, retrieved 05-22-2007.
  • 4. Beskok, A., Karniadakis, G. E. "A Model for Flows in Channels, Pipes, and Ducts at Micro and Nano scalę." Microscale Thermophys. Eng. vol. 3, 1999: 43-77.
  • 5. Beskok, A., Karniadakis, G. E., Trimmer, W. "Rarefaction and Compressibility Effects in Gas Microflows." J. Fluids Eng. vol. 118, 1996: 448-456.
  • 6. Chapman, S., Cowling, T.G. "The Mathematical Theory of Non-Uniform Gases." Cambridge University Press, 1960.
  • 7. Einzel, D., Panzer, P., Liu, M. "Boundary condition for fluid flow: Curved or rough surfaces." Phys. Rev. Lett. vol. 64-19, 1990: 2269-2272.
  • 8. Fluent Inc. "Fluent 6.2 Manual.", 2005.
  • 9. Gad-el-Hak, M.(ed.). "The MEMS Handbook." CRC Press. 2002. 7.12-7.27.
  • 10. Hirschfelder, J.O., Curtiss, C.F., Bird, R.B. "Molecular Theory of Gases and Liq-uids." John Wiley fc Sons, Inc., New York, London, 1964.
  • 11. Lockerby, D. A., Reese, J. M., Emerson, D. R., Barber, R. W. "Yelocity boundary condition at solid walls in rarefied gas calculations." Phys. Rev. E vol. 70, 017303, 2004.
  • 12. Maxwell, J. C, "On stresses in rarified gases arising from ineąualities of temperaturę.", Philos. Trans. R. Soc. London vol. 170, 1879: 231-256.
  • 13. Ohwada, T., Sonę, Y., Aoki, K. "Numerical analysis of the shear and thermal creep flows of rarified gas over a piane wali on the basis of the linearized Boltzmann eąuation for hard-sphere molecules." Phys. Fluids A. vol. 1-9, 1989: 1588-1599.
  • 14. Ohwada, T., Sonę, Y., Aoki, K. "Numerical Analysis of the Poiseuille and Thermal Transpiration Flows between Two Parallel Plates on the Basis of the Boltzmann Eąuation for Hard Sphere Molecules." Phys. Fluids A. vol. 1-12, 1989: 2042-2049.
  • 15. Smoluchowski, M. "Uber den Temperatursprung bei Warmeleitung in Gasen." Akad. Wiss. Wien. CVII, 1898: 304-329.
  • 16. Sonę, Y. "Flows Induced by Temperaturę Fields in a Rarefied Gas and their Ghost Effect on the Behavior of a Gas in the Continuum Limit." Annu. Rev. Fluid Mech vol. 32, 2000: 779-811.
  • 17. Tibbs, K.W., Baras, F., Garcia, A.L. "Anomalous flow profile due to the curvature effect on slip length." Phys. Rev. E vol. 56-2, 1997: 2282-2283.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB4-0040-0001
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