Drop on a Fiber

We may calculate the details of the drop s profile z x). The surface has a constant curvature throughout given by 

FIGURE 1.10. Drop deposited on a fiber. Schematic cross section (a) photograph of silicone oil drops deposited on a carbon fiber (b). 

If s is the curvilinear coordinate along the meridian curve oriented from left to right and 0 is the angle between the normal to the drop s surface and the vertical direction, Ri and R2 are given by 

Along the meridian curve z x), we have dz = ds sin 9 and dx = ds cos 9. With the notation i and z =, we get ds = dxvT+i and dx always have the same sign), from which it follows that 

the capillary force integrated over the contour, equal to fi — 27T27Cos0, 

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