A database for interpolation of poiseuille flow rate for arbitrary Knudsen number lubrication problems

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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 languageEnglish
Pages (from-to)455-466
Number of pages12
JournalJournal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Volume26
Issue number4
DOIs
Publication statusPublished - 2003 Jan 1

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Lubrication
Interpolation
Flow rate
Gases
Damping
Molecular interactions
Boltzmann equation
Accelerometers
MEMS

All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

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title = "A database for interpolation of poiseuille flow rate for arbitrary Knudsen number lubrication problems",
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.",
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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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