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We obtained density function using spherically symmetric Gaussian kernel [29].
The obtained density and coefficient of thermal expansion are in good agreement with experimental data.
The obtained density profile in this method will give useful information about either structure or process of the column.
With the obtained density distribution shown in Fig. 3 and with the assumed initial radii of the grains, the mean free path can be found to be smaller than their initial radii.
It should be noted that, the obtained density of dry poly phenylenesulfone) in our simulation is 1.66 g cm−3; while it is corresponded approximately which completely disordered amorphous solid phase poly phenylenesulfone) [6].
To validate the simulations, an experiment was performed on a Lab-scale distillation column for inspection of downcomers overlap which leads to unexpected peaks in the obtained density profile.
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The plots depict a two-dimensional histogram of all obtained density-velocity tuples (logarithmic scale).
Finally, 'plot lanes' command was selected to obtain density plots for each square image.
From this data they were able to obtain density maps corresponding to different flow regimes.
The suspension were further diluted 1 100 to obtain density of 105-106 cells/mL.
Methodology for the obtaining density, kinematic viscosity parameters can be found elsewhere [28].
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