By Jean-Louis Salager

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Extra info for A. Wilhelm Neumann, Robert David, and Yi Zuo (eds): Applied Surface Thermodynamics, 2nd Edition

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2b and if the quantity σκ vanishes, then the quadrilateral transforms into a triangle. 52, into an unconstrained (free energy) calculus of variations problem if we use the method of Lagrange multipliers to modify the complete energy integral Et beforehand. This approach will also be discussed in more detail in the second section of this chapter. 70) j =1 where λ and λj are the Lagrange multipliers for the entropy constraint and the jth component mass constraint. 54), can be handled as an unconstrained problem.

The transformations between such conjugate extremum problems are known as involutory transformations [83]. Finally, the advantage of employing the free energy ΩΣ is that there is a direct connection between the variation δΩΣ and the virtual work, as demonstrated later. , the Laplace equation of capillarity) in a more direct manner. Only spherical and cylindrical interfacial geometries will be considered for illustration; however, the approach is completely general and applies to any geometry. © 2011 by Taylor and Francis Group, LLC Outline of the Generalized Theory of Capillarity 27 Physically, the particular class of two-phase capillary systems we shall consider is one in which one phase contains a small bubble or droplet of the second phase, either attached to a phase boundary or free.

Only spherical and cylindrical interfacial geometries will be considered for illustration; however, the approach is completely general and applies to any geometry. © 2011 by Taylor and Francis Group, LLC Outline of the Generalized Theory of Capillarity 27 Physically, the particular class of two-phase capillary systems we shall consider is one in which one phase contains a small bubble or droplet of the second phase, either attached to a phase boundary or free. The effect of gravity is neglected in the latter case.

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A. Wilhelm Neumann, Robert David, and Yi Zuo (eds): Applied Surface Thermodynamics, 2nd Edition by Jean-Louis Salager


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