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K.S. developed the analytical model.
Figure 1: Model validation with numerical model and analytical model.
Then, we verify the semi-analytical model against a numerical model and an analytical model.
Author Contributions S.R.C. led the development of the analytical model.
Figure 1 shows a good match of gas flow rate and cumulative gas production between the semi-analytical model and numerical model and analytical model.
An analytical model for the cross-sectional area of a CME as it propagates anti-sunward.
An Analytical Model for Real Gas Flow in Shale Nanopores with Non-Circular Cross-Section.
The analytical model explains the trends observed in the experiments.
The change in CME cross-sectional area, computed by numerically integrating the analytical model, is shown in Fig. 2a.
Furthermore, an analytical model for the analysis of the temperature profile across the film thickness is proposed.
Fig. 1 Analytical model.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com