= final conditions i = component of vector o = initial conditions opt = optimum Superscripts i = iteration number t = transposition operator -= rough estimate (0) = initial estimate LITERATURE CITED 1. Denn, M. M., and Rutherford Aris, The stability of a capillary liquid bridge of given volume between two small, solid, equal, separated spheres is investigated by formulating and treating a minimum energy problem in the calculus of variutions and by experiment. A conjecture is made that in the case of two The neck diameter of this criticai bridge is unquestion-Vof. 17; No.

No abstract

No abstract

No abstract

In his discussion of contact line equilibrium for a system comprising two liquids and a solid, Gibbs [Scientific Papers (Dover, New York, 1961), Vol. 1, p. 326] used an argument that resulted in two inequalities he claimed to be applicable when the three-phase contact line coincides with an edge on the solid surface. A simple counterexample is given that shows Gibbs’s inequalities lack universal applicability. A serious objection to Gibbs’s argument is noted and his discussion is altered to remove the objectionable feature. This leads to modified inequalities, which surprisingly are known and have been attributed to Gibbs by recent authors.

No abstract

No abstract

No abstract