Fluid dynamical equations

Flow through the slit is the sum of two terms:
$u_f= u + S_r\dot{x}_r$




From Bernoulli equation:
$u_f=A\cdot \mbox{sgn}(\Delta p)\vert\Delta p\vert^\mu x_r^\nu$


$\Downarrow$
$\Delta p = A^{-3/2}\cdot \mbox{sgn}(u_f)
\vert u_f\vert^{3/2}/x_r^2:=f(u_f, x_r)$


2000-09-12