Qualitative assessment of the three-dimensional micro-CT scans confirmed that NM and FM contralateral subchondral trabecular architecture, subchondral plates, and joint margins were similar to sham controls (three-dimensional analysis not shown).
However, one-dimensional analysis might not provide adequate information regarding complicated engineering situations.
Thus, we believe that three-dimensional analysis would not have added value to our results or altered our conclusion.
The temperature peak point in the one dimensional analysis under LOHS does not show in the multi-dimensional analysis, because the reverse and mixing flow pattern between the hot pool and the core outlet region.
In particular, we can see the reverse and mixing flow phenomena in LOHS better than TOP and LOF, which affect the peak temperature in the one dimensional analysis at 330 s but is not observed in the multi-dimensional analysis.
A geometrically exact rod theory is developed: dimensional analysis demonstrates that a curvature constraint not used in previous analyses is appropriate in our case, and this is used to develop a coupled set of non-linear integro-differential equations for the problem.
Hiiab′s proof avoids most, but not all, of the "infinite dimensional" analysis in the original proof.
As a result, three-dimensional analysis of panels not only provides realistic results, but also allows further physical insights, which cannot otherwise be predicted by the two-dimensional analysis.
2007; Rimmer and Wang 2010), surface analytical techniques are limited to a two-dimensional analysis, which does not account for the complex three-dimensional structure of the corrosion layers and metal core.
Techniques include extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, and pictorial analysis.
Firstly, dimensional analysis was performed using CFA.
