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A similar phenomenon is observed for concentration boundary thickness.
Equation 16 shows that the boundary thickness is simply correlated with pressure gradient and viscosity.
Estimates of grain boundary thickness indicate that sintered samples retain compositional heterogeneities with significant effects on space charge potentials.
We expect that local properties such as stress concentration will be sensitive to the choice of grain boundary thickness.
In this way, the overall barrier configuration is modeled as both thickness and null-thickness bodies (the boundary thickness is neglected), as representatives of very thin elements.
A methodology to conduct both overall shape and top edge optimizations of thin cross section acoustic barriers by idealizing them as profiles with null boundary thickness is proposed.
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Results obtained show the usefulness of representing complex thin barrier configurations as null boundary thickness-like models.
A primary goal is to incorporate microstructural details like grain shape, grain-boundary thickness, and glass viscosity, as well as the effects of external variables such as loading rate and temperature.
These data, combined with the local values of the reaction front velocity and the thickness of the α lamellae, have been used to evaluate the local sδDb values (Db is the grain-boundary chemical diffusion coefficient, δ is the grain-boundary thickness and s is the segregation factor).
The results also show that momentum boundary layer thickness decreases whereas thermal boundary layer thickness increases.
Further, an increase in the thermal boundary layer thickness and decrease in momentum boundary layer thickness was observed for the increasing values of the magnetic parameter.
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