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Accordingly, in the problem studied here, we do not need to assume boundary layer flow but, as described in the following section, the final governing equations are identical to those arising from the boundary layer approximation.
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In turn, this prediction is a function of the status of their assumed boundary conditions.
Two mechanical models are considered depending on the assumed boundary conditions in the buckling and post-buckling phases.
By means of simulation experiments, we now want to determine the channel availabilities for various scenarios assuming boundary conditions as realistic as possible.
In practice, one can assume the boundary conditions, which results in large errors, as the solution of an elliptic equation is continuously dependent on the boundary conditions, and there may be a large difference between the assumed boundary conditions and the real boundary conditions.
In general, assume that the observed data and the desired parameters are related by a mathematical model, such as a differential equation, and that the data can be simulated for any appropriate estimate of the parameters or properly assumed boundary conditions.
Assuming the temperature and volumetric fraction of the nanoparticles to be constant at the stress-free boundaries, we may assume the boundary conditions on T and ϕ to be: textbf{v}=0, T=T_{h}, phi=phi_{1} at z=0, (6).
We assume that boundary motion is perpendicular to the cell boundary.
Further for specificity we will assume periodic boundary conditions, although most results are equally valid for other boundary conditions such as no-flux boundary conditions.
In this approach the boundary is equipped with its own thermodynamic life, i.e. we assume separate boundary energy, entropy and the like.
In most application scenarios, we can safely assume the boundary of a plant network to be smooth, i.e., the boundary has no sharp corners or breaklines.
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