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  1. Finite volume simulation of gaseous microflows using modified boundary conditions

Finite volume simulation of gaseous microflows using modified boundary conditions

Darbandi, M ; Sharif University of Technology | 2007

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  1. Type of Document: Article
  2. Publisher: 2007
  3. Abstract:
  4. The rapid progress in fabricating and utilizing micro-electromechanical systems during the last decade has not been matched by the corresponding advances in our understanding from the unconventional physics involved in manufacturing and operation of micro devices. To avoid the complexity encountered in modeling of nonlinear Boltzmann equations, the Navier-Stokes equations can be solved considering the slip flow regime concepts. The modeling can be achieved via employing suitable slip velocity boundary conditions at the solid walls. The modified first-order slip models can, in some cases, extend the range of applicability of the Navier-Stokes solvers to around and beyond Kn=0.1, where the accuracy of firstorder slip models starts deteriorating. To extend the capabilities of an already developed macro-scale Navier-Stokes solver to microflow analysis, we benefit from using a modified first-order slip boundary condition. The basic numerical approach is a finite-volume method, which incorporates the major advantages of finite-element method as well. Eventually, we present an extensive comparison between the first and higher-order slip boundary models of the regular Navier-Stokes solver for hard sphere gases. The achieved results indicate that the use of high-order slip models in solid boundaries can vigorously increase the capabilities of the large scale Navier-Stokes solvers to predict micro flows with large Knudsen magnitudes confidently
  5. Keywords:
  6. Microflow analysis ; Slip boundary models ; Boltzmann equation ; Boundary conditions ; Finite volume method ; MEMS ; Navier stokes equations ; Flow of gases
  7. Source: 45th AIAA Aerospace Sciences Meeting 2007, Reno, NV, 8 January 2007 through 11 January 2007 ; Volume 16 , 2007 , Pages 11313-11321 ; 1563478900 (ISBN); 9781563478901 (ISBN)
  8. URL: https://arc.aiaa.org/doi/abs/10.2514/6.2007-934