Couette-Poiseuille flow in a thin gap (source code)

= Couette-Poiseuille flow in a thin gap
{c}

Between surfaces of velocities $U_0,U_1$ separated by $h$, the local lubrication profile is
$$
u=U_0+(U_1-U_0)y/h+(p_x/2\mu)y(y-h).
$$