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For smooth surfaces, a fast approximation algorithm is developed to calculate the curvature of individual subregions.
The highest conductance attained for rough surfaces is lower than that attained for smooth surfaces.
The resulting model gives reasonable agreement with published data for smooth surfaces.
Most of the past DNS studies, however, have been based on body-fitted grids for smooth surfaces without roughness.
The conjecture was proven for curves by Gruson-Lazarsfeld-Peskine, for smooth surfaces by Lazarsfeld and Pinkham, for most smooth 3-folds by Ran, and in many other special cases.
The author's previously published theory[2] of mass (or heat) transfer to very rough surfaces predicts a power dependence on Sc of −12 (compared with −23 for smooth surfaces).
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This decay in real contact area growth is very obvious at 0.55·Y for smooth surface that reaches 10% of nominal contact area at yield stress.
This approach enables a concurrent modeling of the curve network and the underlying surface, thus eliminating the need for a laborious, iterative adjustment of the curve network for smooth surface creation.
For smooth surface energies, Eqs.
Also in (a) I-V characteristics for smooth surface is shown for comparison.
The plot for smooth surface is given in Figure 3a for comparison.
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