Let be a representative positive gap thickness and set
the larger-order horizontal speed after including the squeeze-induced flux. The lubrication-limit scaling for a moving thin gap requires
Equivalently, the inertial condition contains
The gap must also remain open, . These conditions make streamwise derivatives small relative to transverse derivatives, keep the pressure uniform across the gap to leading order, and reduce the Navier-Stokes equation to Stokes flow locally.