Capillary interaction on a fluid surface

1. Mar 17, 2007

standardflop

Hello.
My problem is as follows. Given is a infinitely long cylinder on a fluid surface. ( http://www.student.dtu.dk/~s041882/surf.jpg). From the vertical force balance i should derive the expression
$$\sin (x+t) = B/2 (\sin (t)2h/r + t + \sin (t) \cos (t) - \pi \rho_{cylinder}/\rho_{fluid})$$
where B is the Bond Number, $B=\rho_{fluid}gR^2/\alpha$.

From the vertical force balance i get $f_s \sin (t+x)-f_s \sin (t+x)=0$, with,
$f_s = \alpha L$. Ive tried to determine $\alpha$ from Young-Laplace's law, without luck.

Any help will be greatly appreciated.

Last edited: Mar 17, 2007