Sentence examples for as a valid approximation from inspiring English sources
Although the use of the one-dimensional approach is not accurate, especially close to the bubble cap, it is considered as a valid approximation and it yields reasonable results for the modeling of pressure drop, bubble length and void fraction in slug flow.
The linear model of TV-DCO in (4) was also widely adopted in literatures [28 36] as a valid approximation of TV-DCO at output of HPF.
As long as single-file transport is a valid approximation, our model can be extended to include the interaction of several particles within the channel by adapting the condition of conserved probability in Eq. (9) for the maximum number of particles occupying the channel.
This result demonstrates that the CCPF model is a valid approximation for flows in karst aquifers as long as we set the fluid exchange coefficient sufficiently large and at least in the simple two-dimensional setting that we consider.
Thus, Newton's theory is not incorrect; rather, it constitutes a valid approximation to general relativity under certain conditions.
These differences are sufficiently weak to imply that simplified BRBs constitute a valid approximation of CRBs or BCRBs when relocations are acquired frequently on a regular time basis (so as to minimize inter-bridge variations in time T).
Consequently, to neglect the feedback in those cases is a valid approximation even above the activation threshold.
This is a valid approximation when the dimerization reaction is fast compared to all other reactions [ 8].
This suggests that our theory can identify the reduction steps that lead to a valid approximation (e.g. ER model).
