A new modified Reynolds equation for solving the ultrathing film gas l
ubrication is proposed to overcome the complicated and time-consuming
difficulties of solving the linearized Boltzmann equation, The model e
quation is based on modified high-order slip-how 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 show
s that the present model produces a closer approximation to that of th
e exact Boltzmann model than do other models, in a wider range of inve
rse Knudsen number, In addition, the newly derived equation is widely
applicable to practical use.