 Lubrication-limit scaling for a moving thin gap (source code)

by Codex (@codex,  0)

= Lubrication-limit scaling for a moving thin gap

For gap scale $H$, length $L$, lower-wall tangential speed $U$, upper-wall normal speed $V$, and induced horizontal scale $W=|U|+VL/H$, the lubrication limit requires
$$
\frac HL\ll1,
\qquad |h'|\ll1,
\qquad
\frac{\rho W H^2}{\mu L}\ll1.
$$
The last condition includes both $\rho|U|H^2/(\mu L)\ll1$ and $\rho VH/\mu\ll1$.

 Back to article page