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Homework Help: Capillary interaction on a fluid surface

  1. Mar 17, 2007 #1
    My problem is as follows. Given is a infinitely long cylinder on a fluid surface. ( [PLAIN]http://www.student.dtu.dk/~s041882/surf.jpg[/URL]). [Broken] From the vertical force balance i should derive the expression
    [tex] \sin (x+t) = B/2 (\sin (t)2h/r + t + \sin (t) \cos (t) - \pi \rho_{cylinder}/\rho_{fluid}) [/tex]
    where B is the Bond Number, [itex] B=\rho_{fluid}gR^2/\alpha [/itex].

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

    Any help will be greatly appreciated.
    Last edited by a moderator: May 2, 2017
  2. jcsd
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