A new modified Reynolds equation for ultrathin film gas lubrication

Author

Hwang, Chi-Chuan ; Fung, Rong-Fong ; Yang, Rong-Fu ; Weng, Cheng-I ; Li, Wang-Long

Author_Institution

Dept. of Mech. Eng., Chung Yuan Christian Univ., Chung Li, Taiwan

Volume

32

Issue

2

fYear

1996

fDate

3/1/1996 12:00:00 AM

Firstpage

344

Lastpage

347

Abstract

A new modified Reynolds equation for solving the ultrathin film gas lubrication is proposed to overcome the complicated and time-consuming difficulties of solving the linearized Boltzmann equation. The model equation is based on modified high-order slip-flow velocity distribution with three adjustable coefficients, which are corrected according to the Boltzmann model. The results are compared to those obtained using other kinds of currently employed modified Reynolds equations. It shows that the present model produces a closer approximation to that of the exact Boltzmann model than do other models, in a wider range of inverse Knudsen number. In addition, the newly derived equation is widely applicable to practical use

Keywords

Knudsen flow; flow; lubrication; magnetic recording; slip flow; Boltzmann model; Reynolds equation; inverse Knudsen number; slip-flow; ultrathin film gas lubrication; Boltzmann equation; Boundary conditions; Databases; Helium; Lubrication; Magnetic films; Magnetic heads; Magnetic memory; Magnetic recording; Polynomials;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.486518

Filename

486518