Sentence examples for diffusion cases from inspiring English sources

The model is validated against multicomponent thermal diffusion cases using multiple fuel and diluent mixtures at various pressures, temperatures, and equivalence ratios.

Four configuration test cases are considered: neglecting differential diffusion (Cases 1 and 2), considering differential diffusion (Case 3) and considering differential diffusion but neglecting molecular transport of H and H2 (Case 4).

We also consider the zero diffusion case of ODE.

Constant (alpha_{kh}geq0) is a boundary condition in the continuous diffusion case.

Motivated by the above mentioned works, in this paper we have a purpose to extend the results of the slow diffusion case [10] to the fast diffusion case and s components, and the aim is twofold.

For degenerate parabolic equations, the isotropic diffusion case, ((a^{ij})=a u I), first had been developed around 2000.

The value of the release exponent "n" indicates the release mechanism (Fickian diffusion, case II transport, or anomalous transport).

One of the motivations to investigate the singular solution comes from [3], in which the single parabolic equation in the linear diffusion case ((m=1)) has been considered.

Based on various mathematical models, the magnitude of the release exponent 'n' indicates the release mechanism (Fickian diffusion, case II transport, or anomalous transport).

However, surprisingly the calculations predicted that the toughness in the fast diffusion case was no more than 12% lower compared to the slow diffusion case suggesting that the stress concentrations due to the dislocation structures and the crack tip fields have only a minor effect on the toughness reduction in the presence of hydrogen.

In the coherence diffusion case, it is desirable to rotate the diffusion tensor such that the diffusion is encouraged along the orientation of interesting features instead of perpendicular to it.