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Abstract
Solid/liquid/gas contact lines are encountered in such phenomena as flotation, detergency, adhesion, and oil recovery. Gibb's method of constrained equilibrium states is applied to the problem of contact line stability. Two situations are considered: a somewhat general configuration not subjected to external fields and a specific configuration in the gravity field. The latter configuration is the axisymmetric dry patch whose stability has already been rigorously studied by Huh and Taylor and Michael. In the discussion, it is always assumed that the solid surface is ideal in that it is smooth, homogeneous, and in a constant state of strain independent of the presence of the other phases. Furthermore, the solid is mutually insoluble with the liquid and gas phases. (18 refs.)
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