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The velocity component F′ increases as γ increases for some values of η in lower branch solution case.
Lower solvent flow rate of the IL-MEA hybrid solvent cases compared to the 30 wt% MEA solution case (Sect. 5.2).
It is noted that an increase in γ and φ leads to increase the nanofluid velocity profile in upper branch solution case.
In the solution case, the solvent was used with chloroform (1 × 10-5 M), and 50 nm in thickness was chosen for evaporated film on glass.
The optimization problem in (10) admits the following solution: Case 1: If R 1 ⋆ ≥ log I + H 12 H K 1 H 12, (11).
This is to be expected since in this regime, proton conduction occurs in fluid-rich regions, which in the solution case includes a large fraction of methanol.
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The other exception involves the systems with a single solution, cases where there is no difference.
In the following section, we show that this trade-off property is not valid for non-optimal solution cases.
Cases further from the origin have a stronger influence in the reduced-dimension solution; cases closer to the origin have a lesser influence.
Like its forebearer, Case+ is a multi-solution case.
In addition, the proposed algorithm detects the no-solution case and the existence of infinite solutions.
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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