Spinning drop method: From Young–Laplace to Vonnegut

The Young–Laplace general equation for curved surfaces under the influence of a centrifugal field and its relation with the spinning drop method is discussed. It was found that Vonnegut's expression may be regarded as a particular case of the general curvature equation and that the spinning drop method may be solved defining the relation between the radius of the sphere to the radius of the cylinder avoiding the use of differential equations and numerical solutions.