Domain models, cylindrical

Later, Paul and Paddison presented a statistical mechanical model that was used to calculate the dielectric permittivity in the water domains, that is, the pores, of Nafion.234 For computational purposes, a pore was taken as being of cylindrical geometry. The main prediction is that in a fully hydrated... 

Leary and Williams have proposed for ABA block copolymers a model characterized by a simultaneous existence of three phases pure A, pure B and a mixed region. Their model, which postulated spherical domains in its first version50, has been extended to cylindrical and lamellar domains51,52. ... 

Transmission electron microscopy of deformed SB diblocks with spherical PB domains showed clear evidence for PB sphere cavitation in the crazed zones In fact, in contr t to the thick crazes of the cylindrical morphology materials, the crazes in the spherical morphology were exceedingly thin, approaching the dimension of the PB sphere diameter. Because of the simplifications offered by the isotropic nature of the spherical morphology, it was possible to develop a precise model for the rate of growth of crazes for this system. 

Murthy et al [63] were the first who used the sliding grid method for the simulation of unsteady flows in mixing vessels. The model formulation used with moving meshes is of the arbitrary-Lagrangian-Eulerian (ALE) t rpe [70]. In this particular approach the flow domain is divided into two cylindrical, non-overlapping sub-domains, each gridded as a separate block. The outer... 

Figure 6.14 Coordinate system used to model the diffusion domain for a cylindrically approximated diffusion domain. The plane to be simulated is shaded [40].

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