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For the parabolic dendrite tips, we obtain agreement with the Ivantsov solutions within a few percent and proper dimensional scaling of lengths and velocities with surface energy.
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On a general note, the different scaling of length, surface area and volume makes a straightforward comparison between microchannel reactors and conventional reactors far from trivial.
They found that the bone strength index scaled similarly across species despite differences in scaling of length and diameter [26].
The dendrimers possess fractal self-similarity over a rather narrow scale of lengths with fractal dimensions of the order of 2.4 to 2.8.
Rivers are characterized by multiple scales of length and time.
Results showed that the pre-delamination ignited continuous delamination in different scales of length.
Results are presented for representative pores for a range of pore Reynolds numbers, Repore, from 839 to 3964, which include integral length and velocity scales and estimates of the Kolmogorov scales of length, velocity and time.
A concept of multiscale modelling of product manufacturing based on integration of three modelling methods currently applied at different scales of length and time: process system modelling, computational fluid dynamics and computational chemistry was presented.
It has free area between the fibers with a scale of length to cell size about 1 10 μm [51].
We normalized the hydrodynamic equations and initial conditions by introducing appropriate scales of length, velocity and pressure.
As ß approaches the critical inverse temperature ß c from below, spin fluctuation are present at all scales of length.
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