Shapes of axisymmetric fluid interfaces of unbounded extent

The shape of an equilibrium fluid interface that extends far outward from a circular line of contact is calculated and tabulated as a function of radius of the contact circle, interface inclination or contact angle there, interfacial tension, density difference across the interface, and force of gravity. A novel and efficient method of calculation is described. The accuracy of the results is shown to exceed that generally needed in practice. Sample applications are made to problems of meniscus location, contact angle, flotation position, and dry patch radius.