Fluxo de Gases em Microcanais: um Estudo da Influência de Coeficientes de Acomodação

M. Camargo, C.H. Kamphorst, P. Rodrigues

Abstract


Neste trabalho, busca-se fazer uma análise referente à influência do coeficiente de acomodação no comportamento do fluxo de gases em microcanais planos. Para tanto, visando à obtenção de dados numéricos, será utilizado o método de ordenadas discretas aplicado à problemas clássicos da dinâmica de gases rarefeitos, definidos de acordo com o modelo BGK, da equação linearizada de Boltzmann.

References


[1] L.B. Barichello, M. Camargo, P. Rodrigues, C.E. Siewert, Unified solutions to classical flow problems based on the BGK model, Z. Angew. Math. Phys., 52 (2001), 517-534.

L.B. Barichello, C.E. Siewert, A discrete-ordinates solution for a non-grey model with complete frequency redistribution, Journal of Quantitative Spectroscopy and Radiative Transfer, 62 (1999), 665-675.

L.B. Barichello, C.E. Siewert, A discrete-ordinates solution for Poiseuille flow in a plane channel, Z. Angew. Math. Phys., 50 (1999), 972-981.

P.L. Bhatnagar, E.P. Gross, M. Krook, A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems, Phys. Rev., 94 (1954), 511-525.

K.M. Case, Elementary solutions of the transport equation and their application, Ann. Phys., 9 (1960), 1-23.

C. Cercignani, M. Lampis, S. Lorenzani, Variational approach to gas flows in microchannels, Physics of Fluids,16, No. 9 (2004), 3426-3437.

M. Gad-el-Hak, “The MEMS Handbook. Mechanical Engineering Handbook Series”, Second Edition, vol. 1, 2005.

G.H. Golub, C.F. Van Loan, “Matrix Computations”, Johns Hopkins University Press, Baltimore, 1989.

S.K. Loyalka, N. Petrellis, T.S. Storvick, Some exact numerical results for the BGK model: Couette, Poiseuille and thermal creep flow between parallel plates, Z. Angew. Math. Phys., 30 (1979), 514-521.




DOI: https://doi.org/10.5540/tema.2007.08.01.0053

Article Metrics

Metrics Loading ...

Metrics powered by PLOS ALM

Refbacks

  • There are currently no refbacks.



Trends in Computational and Applied Mathematics

A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)

 

Indexed in:

                       

         

 

Desenvolvido por:

Logomarca da Lepidus Tecnologia