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| Content Provider | The American Society of Mechanical Engineers (ASME) Digital Collection |
|---|---|
| Author | Torrilhon, Manuel Struchtrup, Henning |
| Copyright Year | 2008 |
| Abstract | We summarize our recent contributions to the development of macroscopic transport equations for gas micro-flows. A combination of the Chapman-Enskog expansion and Grad’s moment method in kinetic theory of gases yields the Regularized 13-Moment-Equations (R13 equations). These equations overcome deficiencies of Grad’s equations or Burnett models. They are asymptotically of super-Burnett order, i.e., of third order in the Knudsen number and linearly stable for all wave frequencies. In addition, a complete set of boundary conditions can derived from the accommodation boundary conditions of the Boltzmann equations. Mathematically, more boundary conditions are required and they can be derived from the R13 system itself through coherence relations. We present micro-channel and shock wave simulations to prove that R13 is a reliable and efficient continuum model for micro-flows of gases with moderate Knudsen numbers. |
| Sponsorship | Nanotechnology Institute |
| Starting Page | 43 |
| Ending Page | 51 |
| Page Count | 9 |
| File Format | |
| ISBN | 0791842924 |
| DOI | 10.1115/MNHT2008-52274 |
| e-ISBN | 0791838137 |
| Volume Number | ASME 2008 First International Conference on Micro/Nanoscale Heat Transfer, Parts A and B |
| Conference Proceedings | ASME 2008 First International Conference on Micro/Nanoscale Heat Transfer |
| Language | English |
| Publisher Date | 2008-06-06 |
| Publisher Place | Tainan, Taiwan |
| Access Restriction | Subscribed |
| Subject Keyword | Gases Shock waves Knudsen number Simulation Wave frequency Boundary-value problems Engineering simulation Kinetic theory Flow (dynamics) Modeling Microchannels |
| Content Type | Text |
| Resource Type | Article |
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