Abstract
A complete database for Poiseuille flow rate is advanced by solving the linearized Boltzmann equation numerically. The effects of surface accommodation coefficients, α 1 and α 2 , and inverse Knudsen number, D, on the Poiseuille flow rate are considered. The present database extends existing published results from 0.7≤α 1 α 2 ≤1.0 to 0.1≤α 1 α 2 ≤1.0. It can be easily implemented in the modified molecular gas film lubrication (MMGL) equation, which governs ultra-thin gas film lubrication problems. In addition, the database for low accommodation coefficients is valuable in the analysis and application of MEMS devices and their further development. The characteristics of squeeze film damping are utilized as examples to illustrate the implementation of the present database to the linearized MMGL equation with effects of gas rarefaction and non-symmetric molecular interaction taken into account. The reaction forces, which include spring forces and damping forces, and the cutoff squeeze number of a squeeze film for a micro-accelerometer are derived analytically and discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 455-466 |
| Number of pages | 12 |
| Journal | Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an |
| Volume | 26 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2003 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Engineering(all)
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A database for interpolation of poiseuille flow rate for arbitrary Knudsen number lubrication problems. / Li, Wang-Long.
In: Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an, Vol. 26, No. 4, 01.01.2003, p. 455-466.Research output: Contribution to journal › Article
TY - JOUR
T1 - A database for interpolation of poiseuille flow rate for arbitrary Knudsen number lubrication problems
AU - Li, Wang-Long
PY - 2003/1/1
Y1 - 2003/1/1
N2 - A complete database for Poiseuille flow rate is advanced by solving the linearized Boltzmann equation numerically. The effects of surface accommodation coefficients, α 1 and α 2 , and inverse Knudsen number, D, on the Poiseuille flow rate are considered. The present database extends existing published results from 0.7≤α 1 α 2 ≤1.0 to 0.1≤α 1 α 2 ≤1.0. It can be easily implemented in the modified molecular gas film lubrication (MMGL) equation, which governs ultra-thin gas film lubrication problems. In addition, the database for low accommodation coefficients is valuable in the analysis and application of MEMS devices and their further development. The characteristics of squeeze film damping are utilized as examples to illustrate the implementation of the present database to the linearized MMGL equation with effects of gas rarefaction and non-symmetric molecular interaction taken into account. The reaction forces, which include spring forces and damping forces, and the cutoff squeeze number of a squeeze film for a micro-accelerometer are derived analytically and discussed.
AB - A complete database for Poiseuille flow rate is advanced by solving the linearized Boltzmann equation numerically. The effects of surface accommodation coefficients, α 1 and α 2 , and inverse Knudsen number, D, on the Poiseuille flow rate are considered. The present database extends existing published results from 0.7≤α 1 α 2 ≤1.0 to 0.1≤α 1 α 2 ≤1.0. It can be easily implemented in the modified molecular gas film lubrication (MMGL) equation, which governs ultra-thin gas film lubrication problems. In addition, the database for low accommodation coefficients is valuable in the analysis and application of MEMS devices and their further development. The characteristics of squeeze film damping are utilized as examples to illustrate the implementation of the present database to the linearized MMGL equation with effects of gas rarefaction and non-symmetric molecular interaction taken into account. The reaction forces, which include spring forces and damping forces, and the cutoff squeeze number of a squeeze film for a micro-accelerometer are derived analytically and discussed.
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U2 - 10.1080/02533839.2003.9670799
DO - 10.1080/02533839.2003.9670799
M3 - Article
VL - 26
SP - 455
EP - 466
JO - Chung-kuo Kung Ch'eng Hsueh K'an/Journal of the Chinese Institute of Engineers
JF - Chung-kuo Kung Ch'eng Hsueh K'an/Journal of the Chinese Institute of Engineers
SN - 0253-3839
IS - 4
ER -