Discrete velocity modelling of gaseous mixture flows in MEMS

Superlattices and Microstructures

Volumn 35, Issue 3-6, 2004, Pages 629-643

  Naris, S ^a   Valougeorgis, D ^a   Sharipov, F ^b   Kalempa, D ^b  

^a UNIVERSITY OF THESSALY   (Greece)

^b FEDERAL UNIVERSITY OF PARANÁ   (Brazil)

Author keywords

Internal flows; Micro fluidics; Mixtures; Rarefied gases

Indexed keywords

BINARY MIXTURES; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; MATHEMATICAL MODELS; MICROELECTROMECHANICAL DEVICES; NAVIER STOKES EQUATIONS; TRANSPORT PROPERTIES; VELOCITY;

INTERNAL FLOWS; KNUDSEN NUMBER; MICROFLUIDICS; RAREFIED GASES;

FLOW OF FLUIDS;

EID: 4243126863     PISSN: 07496036     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spmi.2004.02.025     Document Type: Conference Paper

References (24)

1. Ho C.M., Tai Y.C. Micro-electro-mechanical systems (MEMS) and fluid flows. Annu. Rev. Fluid Mech. 30:1998;579.
2. Cercignani C. The Boltzmann Equation and its Applications. 1988;Springer-Verlag.
3. Beskok A., Karniadakis G.E., Trimmer W. Rarefaction and compressibility effects in gas micro-flows. J. Fluid Eng. 118:1996;448.
4. Muntz E.P. Rarefied gas dynamics. Annu. Rev. Fluid Mech. 21:1989;387.
5. Bird G.A. Molecular Gas Dynamics and the Direct Simulation of Gas Flows. 1996;Oxford University Press.
6. Succi S. The Lattice Boltzmann Equation for Fluid Dynamics and Beyond. 2001;Oxford University Press.
7. Sharipov F., Seleznev V. Data on internal gas flows. J. Phys. Chem. Ref. Data. 27:(3):1998;657.
8. Sharipov F. Non-isothermal gas flow through rectangular micro-channels. J. Micromech. Microeng. 9:1999;394.
9. Valougeorgis D., Naris S. Acceleration schemes of the discrete velocity method: gaseous flows in rectangular microchannels. SIAM J. Sci. Comput. 25:(2):2003;534.
10. Loyalka S.K. Temperature jump in a gas mixture. Phys. Fluids. 17:1974;897.
11. Valougeorgis D. Couette flow of a binary gas mixture. Phys. Fluids. 31:1988;521.
12. Ivchenko I.N., Loyalka S.K., Tompson R.V. Slip coefficients for binary gas mixtures. J. Vac. Sci. Technol. A. 15:(4):1996;2375.
13. Siewert C.E. Couette flow for a binary gas mixture. J. Quant. Spectrosc. Radiat. Transf. 70:2001;321.
14. Sharipov F., Kalempa D. Gaseous mixture flow through a long tube at arbitrary Knudsen numbers. J. Vac. Sci. Technol. A. 20:(3):2002;814.
15. C.E. Siewert, D. Valougeorgis, Concise and accurate solutions to half-space binary-gas flow problems defined by the McCormack model and specular-diffuse wall conditions, Eur. J. Mech. B/Fluids (in press).
16. Naris S., Valougeorgis D., Kalempa D., Sharipov F. Gaseous mixture flow between parallel plates in the whole range of rarefaction. Physica A. 336:2004;249.
17. McCormack F.J. Construction of linearized kinetic models for gaseous mixtures and molecular gases. Phys. Fluids. 16:(12):1973;2095.
18. Sharipov F.M., Subbotin E.A. On optimization of the discrete velocity method used in rarefied gas dynamics. Z. Angew. Math. Phys. 44:1993;572.
19. Adams M.L., Larsen E.W. Fast iterative methods for discrete-ordinates particle calculations. Prog. Nucl. Energy. 40:2002;3.
20. Loyalka S.K., Storvick T.S. Kinetic theory of thermal transpiration and mechanocaloric effect. III. Flow of a polyatomic gas between parallel plates. J. Chem. Phys. 71:1979;339.
21. Lewis E.E., Miller W.F. Jr. Computational Methods of Neutron Transport Theory. 1984;Wiley, New York.
22. Sharipov F., Kalempa D. Velocity slip and temperature jump coefficients for gaseous mixtures. I. Viscous slip coefficient. Phys. Fluids. 15:2003;1800.
23. Kestin J., Knierim K., Mason E.A., Najafi B., Ro S.T., Waldman M. Equilibrium and transport properties of the noble gases and their mixture at low densities. J. Phys. Chem. Ref. Data. 13:1984;229.
24. Ferziger J.H., Kaper H.G. Mathematical Theory of Transport Processes in Gases. 1972;North-Holland Publishing Company, Amsterdam.