Geometric mean model

Applied Surface Thermodynamics, A.W. Neumann, J.K. Spelt, Eds., Marcel Dekker, 1996). (Contains various chapters dealing with the exploitation of the geometric mean models of sec. 2.11b.)... 

This is called the geometric mean model, and it is especially amenable to computational use. - ... 

This equation holds strictly only for the geometric mean model, the physical basis of which is dubious for However, the... 

If one assumes a random distribution of components, the film permeability can be estimated using the weighted geometric mean of the polymer permeabilities via a model known as the Geometric Mean Model ... 

Another model that has been used in the literature very frequently is the geometric mean model ... 

Olaj and Zifferer [229] have performed Monte Carlo simulations in which they placed 300 polymer chains in a lattice, considering excluded volume effects. From the obtained configurations they evaluated the shielding factor which describes how severely the presence of a polymer coil retards the termination of its own radical compared to small (unshielded) radicals. For chains of unequal size Olaj and Zifferer showed that the geometric mean model provided a reasonable mathematical description of their results, although the harmonic mean model. 

Figures 3.4 and 3.5 show the results of the simulations using a geometric mean and Smoluchowski model respectively (termination model 2 and 3, respectively). In both simulations the chain-length dependence was varied in strength by adjusting the parameter b in geometric mean model and the parameters a and b in the Smoluchowski model. Note that different scales have been applied in these graphs. As is directly obvious from inspecting...

The results of Eqs. (3.232) and (3.233) are nevertheless a quarter of the electronic sharing indices within the additive model of atoms-in-mole-cules, (3.217) and (3.220), respectively, modeling therefore weaker bonds. Nevertheless, the geometrical mean model still prescribes the sharing index as behaving like the bonding softness, within equilibrated atoms-in-molecule, i.e., the states ( ), being this way superior to the additive... 

The geometric-mean model can be utilized to predict the effective permeability of the system as weighted geometric mean of the permeability of the phases (Shields, 2008) as per Eqn (8.11). 

Series model Parallel model Geometric-mean model Tortuosity model ... 

It can be observed from the graphs that the permeation through sandwich films tends to decrease with increased filler loading for aU the models except the geometric-mean model. The experimental values are closest to the series model, that is, extremely low, indicating very high barrier offered by these films to the permeation of oxygen gas. 

All materials have both a polar (yi) and nonpolar (yl) or dispersion contribution to the total surface energy. There are two main models for determining the interfacial energy that consider both contributions to surface energetics for each material—the harmonic mean model and the geometric mean model (9). 

Both the harmonic mean model and the geometric mean model will be used to determine the surface energy of the solid surface aloug with the polar... 

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