Sh. Crandall et A. Elshafei, MOMENTUM AND ENERGY APPROXIMATIONS FOR ELEMENTARY SQUEEZE-FILM DAMPERFLOWS, Journal of applied mechanics, 60(3), 1993, pp. 728-736
To provide understanding of the effects of inertia on squeeze-film dam
per performance, two elementary flow patterns are studied. These eleme
ntary flows each depend on a single generalized motion coordinate wher
eas general planar motions of a damper are described by two independen
t generalized coordinates. Momentum and energy approximations for the
elementary flows are compared with exact solutions. It is shown that t
he energy approximation, not previously applied to squeeze films, is s
uperior to the momentum approximation in that at low Reynolds number t
he energy approximations agree with the exact solutions to first order
in the Reynolds number whereas there are 20 percent errors in the fir
st-order terms of the momentum approximations.