Exact(52)
The center line average surface roughness of the specimen were measured with 0.8-mm cutoff length.
where τ is the shear stress (= η n ∂ u/∂ z), and x m is the cutoff length similar to slip length in HDT [27, 28].
In Equation 16, the base radius (r) is in millimeter length scale while the cutoff length (xm) is in nanometer length scale.
Furthermore, for flames with Lewis number near unity, the 1D dissipation spectra for temperature and mixture fraction are shown to follow nearly the same rolloff in the high-wavenumber range, such that the cutoff length scale for thermal dissipation is equal to or slightly smaller than the cutoff length scale for mixture fraction dissipation.
It is also shown that there is a smallest (cutoff) length scale below which the boundary layers are no longer distinct, and where the sequence of generating optimal length scales ends.
Although the coarse grained gradient changes with the cutoff length, the volumetric tensor approximation yields the coarse grained gradient whose magnitude is close to the one obtained by the finite difference.
Similar(8)
Fractals are characterized by the fractal dimension (DH) and the surface roughness amplitude, but finite fractals includes two lateral cutoff lengths.
A special case of finite fractal roughness is characterized as self-affine scaling property over limited length scales and hence possess two lateral cutoff lengths along with the fractal dimension and a topothesy length.
The coefficients for cutoff lengths >∼3.6 Å were roughly constant.
Figure 2 shows the distribution of number of bases recovered by the contigs for different cutoff lengths of the contigs and different runs of the assembly.
In the latter network models, the correlation coefficients were further deviated from those for the original models with full interactions (open circles) in the wider range of cutoff lengths.
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